Farhadian, Reza A probabilistic proof of a recursion formula for sums of integer powers. (English) Zbl 1539.11050 Integers 23, Paper A88, 4 p. (2023). MSC: 11B83 × Cite Format Result Cite Review PDF Full Text: Link
Khan, Waseem Ahmad; Kottakkaran Sooppy, Nisar A new class of Laguerre-based Frobenius type Eulerian numbers and polynomials. (English) Zbl 07805663 Bol. Soc. Parana. Mat. (3) 41, Paper No. 105, 14 p. (2023). MSC: 11B68 33C45 11Y16 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Cereceda, José Luis Sums of powers of integers and generalized Stirling numbers of the second kind. (English) Zbl 1529.11036 Appl. Math. E-Notes 23, 449-458 (2023). MSC: 11B57 11B68 11B73 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Khan, Waseem Ahmad; Alatawi, Maryam Salem; Duran, Ugur Applications and properties for bivariate Bell-based Frobenius-type Eulerian polynomials. (English) Zbl 1524.11055 J. Funct. Spaces 2023, Article ID 5205867, 10 p. (2023). MSC: 11B68 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Guettai, Ghania; Laissaoui, Diffalah; Rahmani, Mourad; Sebaoui, Madjid Recurrence relation for the Appell sequences. (English) Zbl 1516.33010 Integral Transforms Spec. Funct. 34, No. 5, 414-429 (2023). Reviewer: Roberto S. Costas-Santos (Sevilla) MSC: 33C65 33C05 11B68 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Cereceda, José L. A simple generalization of Nicomachus’ identity. (English) Zbl 1520.11035 Math. Mag. 96, No. 1, 66-75 (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Bényi, Beáta; Matsusaka, Toshiki Combinatorial aspects of poly-Bernoulli polynomials and poly-Euler numbers. (English. French summary) Zbl 1509.05027 J. Théor. Nombres Bordx. 34, No. 3, 917-939 (2023). MSC: 05A19 11B68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ma, Qianqian; Wang, Weiping Riordan arrays and \(r\)-Stirling number identities. (English) Zbl 1502.05019 Discrete Math. 346, No. 1, Article ID 113211, 20 p. (2023). MSC: 05A19 05A15 11B73 15B36 × Cite Format Result Cite Review PDF Full Text: DOI
Kargın, L.; Cenkci, M. Recurrences and congruences for higher-order geometric polynomials and related numbers. (English) Zbl 1511.11028 Ukr. Math. J. 73, No. 12, 1873-1894 (2022); and Ukr. Mat. Zh. 73, No. 12, 1619-1637 (2021). Reviewer: Uğur Duran (Iskenderun) MSC: 11B73 11B68 11A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Young, Paul Thomas From Madhava-Leibniz to Lehmer’s limit. (English) Zbl 1503.40003 Am. Math. Mon. 129, No. 6, 524-538 (2022). Reviewer: Leila Miller-Van Wieren (Sarajevo) MSC: 40A25 40A30 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Kargın, Levent; Çay, Emre Semiorthogonality of geometric polynomials. (English) Zbl 1491.11030 Mediterr. J. Math. 19, No. 3, Paper No. 129, 9 p. (2022). Reviewer: Uğur Duran (Iskenderun) MSC: 11B83 11B68 33C47 × Cite Format Result Cite Review PDF Full Text: DOI
Batır, Necdet; Chen, Kwang-Wu Combinatorial identities involving reciprocals of the binomial and central binomial coefficients and harmonic numbers. (English) Zbl 1491.05028 J. Difference Equ. Appl. 28, No. 2, 222-243 (2022). Reviewer: Gabor Hetyei (Charlotte) MSC: 05A19 05A10 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Komatsu, Takao Recurrence relations of poly-Cauchy numbers by the \(r\)-Stirling transform. (English) Zbl 1512.11030 Mediterr. J. Math. 19, No. 1, Paper No. 37, 18 p. (2022). Reviewer: Zhihong Sun (Huaian) MSC: 11B73 05A19 11B37 11B68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Jang, Lee-Chae; Lee, Hyunseok; Kim, Hanyoung Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function. (English) Zbl 1494.11019 Adv. Difference Equ. 2021, Paper No. 175, 12 p. (2021). MSC: 11B68 11B73 33C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Guettai, Ghania; Laissaoui, Diffalah; Rahmani, Mourad; Sebaoui, Madjid On poly-Bell numbers and polynomials. (English) Zbl 1486.11033 Quaest. Math. 44, No. 11, 1463-1483 (2021). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11B73 33C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nyul, Gábor; Rácz, Gabriella Matchings in complete bipartite graphs and the \(r\)-Lah numbers. (English) Zbl 1524.05242 Czech. Math. J. 71, No. 4, 947-959 (2021). MSC: 05C70 05C31 05A18 05A15 05A19 11B73 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, T.; Kim, D. S. Some identities on truncated polynomials associated with degenerate Bell polynomials. (English) Zbl 1477.11042 Russ. J. Math. Phys. 28, No. 3, 342-355 (2021). MSC: 11B73 05A19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moosmüller, Caroline; Sauer, Tomas Factorization of Hermite subdivision operators from polynomial over-reproduction. (English) Zbl 1490.65024 J. Approx. Theory 271, Article ID 105645, 16 p. (2021). MSC: 65D15 41A58 11B73 × Cite Format Result Cite Review PDF Full Text: DOI
Khan, W. A.; Khan, I. A.; Duran, U.; Acikgoz, M. Apostol type \((p,q)\)-Frobenius-Eulerian polynomials and numbers. (English) Zbl 1476.11041 Afr. Mat. 32, No. 1-2, 115-130 (2021). MSC: 11B68 11B73 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Belbachir, Hacène; Mehdaoui, Abdelghani Recurrence relation associated with the sums of square binomial coefficients. (English) Zbl 1465.05006 Quaest. Math. 44, No. 5, 615-624 (2021). MSC: 05A10 05A15 05A19 11B65 11B37 × Cite Format Result Cite Review PDF Full Text: DOI
Boutiche, Mohamed Amine; Guettai, Ghania; Rahmani, Mourad; Sebaoui, Madjid A three-term recurrence formula for the generalized Bernoulli polynomials. (English) Zbl 1474.11060 Bol. Soc. Parana. Mat. (3) 39, No. 6, 139-145 (2021). MSC: 11B68 11B73 × Cite Format Result Cite Review PDF Full Text: Link
Shattuck, Mark Combinatorial properties of a generalized class of Laguerre polynomials. (English) Zbl 1460.05024 J. Integer Seq. 24, No. 2, Article 21.2.1, 23 p. (2021). MSC: 05A19 05A05 05A30 11B75 × Cite Format Result Cite Review PDF Full Text: Link
Cereceda, José Luis Generalized Stirling numbers and sums of powers of arithmetic progressions. (English) Zbl 1475.97002 Int. J. Math. Educ. Sci. Technol. 51, No. 6, 954-966 (2020). MSC: 97F60 11B73 11B68 × Cite Format Result Cite Review PDF Full Text: DOI
Nyul, Gábor; Rácz, Gabriella Sums of \(r\)-Lah numbers and \(r\)-Lah polynomials. (English) Zbl 1464.05013 Ars Math. Contemp. 18, No. 2, 211-222 (2020). MSC: 05A18 05A19 11B73 × Cite Format Result Cite Review PDF Full Text: DOI
Chellal, Redha; Bencherif, Farid; Mehbali, Mohamed An identity for generalized Bernoulli polynomials. (English) Zbl 1471.11095 J. Integer Seq. 23, No. 11, Article 20.11.2, 25 p. (2020). MSC: 11B68 05A10 11B65 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Mihoubi, Miloud; Rahim, Asmaa; Taharbouchet, Said The multiset partitions and the generalized Stirling numbers. (English) Zbl 1463.11082 Afr. Mat. 31, No. 5-6, 813-831 (2020). MSC: 11B75 03E05 × Cite Format Result Cite Review PDF Full Text: DOI
Kargın, Levent; Can, Mümün Harmonic number identities via polynomials with \(r\)-Lah coefficients. (Identités sur les nombres harmonique via des polynômes à coefficients \(r\)-Lah.) (English. French summary) Zbl 1478.11032 C. R., Math., Acad. Sci. Paris 358, No. 5, 535-550 (2020). MSC: 11B75 11B68 11B73 11B83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Kargın, Levent Poly-\(p\)-Bernoulli polynomials and generalized Arakawa-Kaneko zeta function. (English) Zbl 1450.11015 Lith. Math. J. 60, No. 1, 29-50 (2020). Reviewer: Yilmaz Simsek (Antalya) MSC: 11B68 11M32 11M41 × Cite Format Result Cite Review PDF Full Text: DOI
Mihoubi, Miloud; Sahari, Madjid On some polynomials applied to the theory of hyperbolic differential equations. (English) Zbl 1465.11073 Online J. Anal. Comb. 15, Article 2, 18 p. (2020). MSC: 11B73 11B83 12H20 × Cite Format Result Cite Review PDF Full Text: Link
Komatsu, Takao Two types of hypergeometric degenerate Cauchy numbers. (English) Zbl 1477.11046 Open Math. 18, 417-433 (2020). MSC: 11B75 11B37 11C20 11M41 15A15 33C05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Bényi, Beáta; Yaqubi, Daniel Mixed coloured permutations. (English) Zbl 1437.05007 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 14, 14 p. (2020). MSC: 05A05 05A18 11B73 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maltenfort, Michael New definitions of the generalized Stirling numbers. (English) Zbl 1442.11046 Aequationes Math. 94, No. 1, 169-200 (2020). Reviewer: Peter Jau-Shyong Shiue (Las Vegas) MSC: 11B73 05A19 × Cite Format Result Cite Review PDF Full Text: DOI
Mihoubi, Miloud; Tiachachat, Meriem A new class of the \(r\)-Stirling numbers and the generalized Bernoulli polynomials. (English) Zbl 1456.11027 Integers 20, Paper A1, 8 p. (2020). MSC: 11B68 11B73 × Cite Format Result Cite Review PDF Full Text: Link
Mansour, Toufik; Ramirez, Jose L.; Shattuck, Mark; Villamarin, Sergio N. Some combinatorial identities of the \(r\)-Whitney-Eulerian numbers. (English) Zbl 1513.11079 Appl. Anal. Discrete Math. 13, No. 2, 378-398 (2019). MSC: 11B68 05A19 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
Srivastava, H. M.; Yaşar, B. Y.; Özarslan, M. A. A class of big \((p, q)\)-Appell polynomials and their associated difference equations. (English) Zbl 1499.11128 Filomat 33, No. 10, 3085-3121 (2019). MSC: 11B68 33C05 39A13 × Cite Format Result Cite Review PDF Full Text: DOI
Belbachir, Hacène; Souddi, Nassira Some explicit formulas for the generalized Frobenius-Euler polynomials of higher order. (English) Zbl 1499.11097 Filomat 33, No. 1, 211-220 (2019). MSC: 11B68 11B73 × Cite Format Result Cite Review PDF Full Text: DOI
Méndez, Miguel A.; Ramírez, José L. A new approach to the \(r\)-Whitney numbers by using combinatorial differential calculus. (English) Zbl 1472.11084 Acta Univ. Sapientiae, Math. 11, No. 2, 387-418 (2019). MSC: 11B83 11B73 05A15 05A19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Boutiche, Mohamed Amine; Kargin, Levent; Rahmani, Mourad Some remarks on the generalized Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1455.11038 Indian J. Pure Appl. Math. 50, No. 4, 1133-1145 (2019). MSC: 11B68 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Bényi, Beáta; Méndez, Miguel; Ramírez, José L.; Wakhare, Tanay Restricted \(r\)-Stirling numbers and their combinatorial applications. (English) Zbl 1428.11045 Appl. Math. Comput. 348, 186-205 (2019). MSC: 11B73 05A15 05A19 11B83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Dae San; Kim, Han Young; Kim, Dojin; Kim, Taekyun On \(r\)-central incomplete and complete Bell polynomials. (English) Zbl 1425.11050 Symmetry 11, No. 5, Paper No. 724, 12 p. (2019). MSC: 11B83 11B73 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Masjed-Jamei, Mohammad; Beyki, M. R.; Koepf, Wolfram An extension of the Euler-Maclaurin quadrature formula using a parametric type of Bernoulli polynomials. (English) Zbl 1461.11043 Bull. Sci. Math. 156, Article ID 102798, 26 p. (2019). MSC: 11B68 11Y35 11C08 × Cite Format Result Cite Review PDF Full Text: DOI
Adell, José A.; Lekuona, Alberto Closed form expressions for Appell polynomials. (English) Zbl 1459.11055 Ramanujan J. 49, No. 3, 567-583 (2019). MSC: 11B68 33C45 60E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhu, Bao-Xuan Positivity and continued fractions from the binomial transformation. (English) Zbl 1415.05008 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 3, 831-847 (2019). MSC: 05A10 05A20 05A30 11A55 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Caicedo, Jhon B.; Moll, Victor H.; Ramírez, José L.; Villamizar, Diego Extensions of set partitions and permutations. (English) Zbl 1439.11079 Electron. J. Comb. 26, No. 2, Research Paper P2.20, 45 p. (2019). MSC: 11B83 11B73 05A15 × Cite Format Result Cite Review PDF Full Text: Link
Stenlund, David; Wan, James G. Some double sums involving ratios of binomial coefficients arising from urn models. (English) Zbl 1407.05009 J. Integer Seq. 22, No. 1, Article 19.1.8, 17 p. (2019). MSC: 05A10 11B65 33B15 33C05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Gyimesi, Eszter; Nyul, Gábor New combinatorial interpretations of \(r\)-Whitney and \(r\)-Whitney-Lah numbers. (English) Zbl 1459.11071 Discrete Appl. Math. 255, 222-233 (2019). MSC: 11B73 05A19 × Cite Format Result Cite Review PDF Full Text: DOI
Kargin, Levent; Rahmani, Mourad A closed formula for the generating function of \(p\)-Bernoulli numbers. (English) Zbl 1446.11033 Quaest. Math. 41, No. 7, 975-983 (2018). MSC: 11B68 11B83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Srivastava, H. M.; Boutiche, M. A.; Rahmani, M. A class of Frobenius-type Eulerian polynomials. (English) Zbl 1431.11036 Rocky Mt. J. Math. 48, No. 3, 1003-1013 (2018). MSC: 11B68 11B73 11B65 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Corcino, Cristina B.; Corcino, Roberto B.; Mező, István; Ramírez, José L. Some polynomials associated with the \(r\)-Whitney numbers. (English) Zbl 1471.11107 Proc. Indian Acad. Sci., Math. Sci. 128, No. 3, Paper No. 27, 25 p. (2018). Reviewer: Takao Komatsu (Hangzhou) MSC: 11B83 11B73 05A15 05A19 05A16 × Cite Format Result Cite Review PDF Full Text: DOI
Gyimesi, Eszter; Nyul, Gábor A comprehensive study of \(r\)-Dowling polynomials. (English) Zbl 1420.11048 Aequationes Math. 92, No. 3, 515-527 (2018). MSC: 11B73 11B75 05A19 × Cite Format Result Cite Review PDF Full Text: DOI
Benyattou, Abdelkader; Mihoubi, Miloud Curious congruences related to the Bell polynomials. (English) Zbl 1415.11042 Quaest. Math. 41, No. 3, 437-448 (2018). Reviewer: Colin Defant (Dade City) MSC: 11B73 05A18 11A07 × Cite Format Result Cite Review PDF Full Text: DOI
Ramírez, José L.; Villamarin, Sergio N.; Villamizar, Diego Eulerian numbers associated with arithmetical progressions. (English) Zbl 1391.11055 Electron. J. Comb. 25, No. 1, Research Paper P1.48, 12 p. (2018). MSC: 11B83 05A15 05A19 × Cite Format Result Cite Review PDF Full Text: Link
Kargın, Levent \(p\)-Bernoulli and geometric polynomials. (English) Zbl 1420.11044 Int. J. Number Theory 14, No. 2, 595-613 (2018). MSC: 11B68 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Shattuck, Mark Identities for generalized Whitney and Stirling numbers. (English) Zbl 1384.05050 J. Integer Seq. 20, No. 10, Article 17.10.4, 14 p. (2017). MSC: 05A19 11B73 05A15 × Cite Format Result Cite Review PDF Full Text: Link
Mihoubi, Miloud; Rahmani, Mourad The partial \(r\)-Bell polynomials. (English) Zbl 1387.05018 Afr. Mat. 28, No. 7-8, 1167-1183 (2017). MSC: 05A18 11B73 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bencherif, Farid; Benzaghou, Benali; Zerroukhat, Schehrazade An identity for Appell polynomials. (Une identité pour des polynômes d’Appell.) (French. English summary) Zbl 1391.11034 C. R., Math., Acad. Sci. Paris 355, No. 12, 1201-1204 (2017). MSC: 11B68 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Boutiche, M. A.; Rahmani, M.; Srivastava, H. M. Explicit formulas associated with some families of generalized Bernoulli and Euler polynomials. (English) Zbl 1402.11034 Mediterr. J. Math. 14, No. 2, Paper No. 89, 10 p. (2017). MSC: 11B68 11B73 × Cite Format Result Cite Review PDF Full Text: DOI
Mangontarum, Mahid M.; Cauntongan, Omar I.; Macodi-Ringia, Amila P. The noncentral version of the Whitney numbers: a comprehensive study. (English) Zbl 1425.11047 Int. J. Math. Math. Sci. 2016, Article ID 6206207, 16 p. (2016). MSC: 11B73 05B35 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Shattuck, Mark Generalized \(r\)-Lah numbers. (English) Zbl 1351.05033 Proc. Indian Acad. Sci., Math. Sci. 126, No. 4, 461-478 (2016). MSC: 05A19 05A18 11B73 11B75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Lily Li; Li, Ya-Nan Recurrence relations for the linear transformation preserving the strong \(q\)-log-convexity. (English) Zbl 1344.05024 Electron. J. Comb. 23, No. 3, Research Paper P3.44, 11 p. (2016). MSC: 05A20 11B73 11B37 × Cite Format Result Cite Review PDF Full Text: Link
Mezö, István; Ramírez, José L. Some identities of the \(r\)-Whitney numbers. (English) Zbl 1415.11048 Aequationes Math. 90, No. 2, 393-406 (2016). MSC: 11B75 11B73 05A19 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz Analysis of the Bernstein basis functions: an approach to combinatorial sums involving binomial coefficients and Catalan numbers. (English) Zbl 1331.05024 Math. Methods Appl. Sci. 38, No. 14, 3007-3021 (2015). Reviewer: Nikita Kalinin (Geneva) MSC: 05A15 05A19 11B68 33B15 × Cite Format Result Cite Review PDF Full Text: DOI
Rahmani, Mourad On \(p\)-Bernoulli numbers and polynomials. (English) Zbl 1332.11027 J. Number Theory 157, 350-366 (2015). MSC: 11B68 11S80 11M32 × Cite Format Result Cite Review PDF Full Text: DOI
Nyul, Gábor; Rácz, Gabriella The \(r\)-Lah numbers. (English) Zbl 1315.05018 Discrete Math. 338, No. 10, 1660-1666 (2015). MSC: 05A18 11B73 × Cite Format Result Cite Review PDF Full Text: DOI
Mangontarum, Mahid M.; Macodi-Ringia, Amila P.; Abdulcarim, Normalah S. The translated Dowling polynomials and numbers. (English) Zbl 1460.05014 Int. Sch. Res. Not., Discrete Math. 2014, Article ID 678408, 8 p. (2014). MSC: 05A15 11B65 11B73 × Cite Format Result Cite Review PDF Full Text: DOI
Mihoubi, Miloud; Tiachachat, Meriem Some applications of the \(r\)-Whitney numbers. (Quelques applications des nombres \(r\)-Whitney.) (English. French summary) Zbl 1333.11023 C. R., Math., Acad. Sci. Paris 352, No. 12, 965-969 (2014). MSC: 11B68 05A19 11B73 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rahmani, Mourad Some results on Whitney numbers of Dowling lattices. (English) Zbl 1377.11032 Arab J. Math. Sci. 20, No. 1, 11-27 (2014). MSC: 11B73 05B35 05A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Mezö, István A kind of Eulerian numbers connected to Whitney numbers of Dowling lattices. (English) Zbl 1288.05016 Discrete Math. 328, 88-95 (2014). MSC: 05A15 05A18 05E05 05B35 05A17 11B68 × Cite Format Result Cite Review PDF Full Text: DOI
Rahmani, Mourad The Akiyama-Tanigawa matrix and related combinatorial identities. (English) Zbl 1257.05010 Linear Algebra Appl. 438, No. 1, 219-230 (2013). MSC: 05A15 05A19 11B73 15B99 × Cite Format Result Cite Review PDF Full Text: DOI