Found 2,116 Documents (Results 1–100)
Good’s and Mallows’s enumerations of hypotheses of independence: a new proof and a discussion. (English) Zbl 07919946
Generalizations of Stirling-like and Bell-like numbers. (English) Zbl 07918579
Guàrdia, Jordi (ed.) et al., New frontiers in number theory and applications. Cham: Birkhäuser. Trends Math., 191-220 (2024).
Probabilistic degenerate Fubini polynomials associated with random variables. (English) Zbl 07906471
Expanding the function \(\ln(1 + \operatorname{e}^x)\) into power series in terms of the Dirichlet eta function and the Stirling numbers of the second kind. (English) Zbl 07898637
Some relations on the degenerate Korobov polynomials and poly-Korobov polynomials. (English) Zbl 07881007
Various properties of high-order \((p, q)\)-poly-tangent polynomials and the phenomena of their roots. (English) Zbl 07878318
Series expansions for real powers of sinc function and closed-form expression for specific partial Bell polynomials. (English) Zbl 07877078
Some identities involving Stirling numbers arising from matrix decompositions. (English) Zbl 07875562
Bijections between colored compositions, Dyck paths, and polygon partitions. (English) Zbl 1542.05008
New moment formulas for moments and characteristic function of the geometric distribution in terms of Apostol-Bernoulli polynomials and numbers. (English) Zbl 07872023
A probabilistic extension of the Fubini polynomials. (English) Zbl 07850943
Reviewer: Arakaparampil M. Mathai (Montréal)
Fractional Bell collocation method for solving linear fractional integro-differential equations. (English) Zbl 07843594
Reformulations and generalizations of Hoffman’s and Genčev’s combinatorial identities. (English) Zbl 1543.05008
Proof of an explicit formula for a series from Ramanujan’s notebooks via tree functions. (English) Zbl 1542.11033
Reviewer: Thomas Ernst (Uppsala)
An evaluation of rationally weighted binomial sums via some differential and integral operators. (English) Zbl 07837834
Explicit upper bounds for Touchard polynomials and Bell numbers. (English) Zbl 07829368
Reviewer: Ranjeet Sehmi (Chandigarh)
Boson operator ordering identities from generalized Stirling and Eulerian numbers. (English) Zbl 07822015
Polynomial moments with a weighted zeta square measure on the critical line. (English) Zbl 07815269
Reviewer: David Lowry-Duda (Providence)
Some identities involving \(q\)-Stirling numbers of the second kind in type B. (English) Zbl 1533.05027
Probabilistic degenerate Stirling polynomials of the second kind and their applications. (English) Zbl 1532.11033
The \((p,q)\)-sine and \((p,q)\)-cosine polynomials and their associated \((p,q)\)-polynomials. (English) Zbl 1532.05016
Higher-order chain rules for tensor fields, generalized Bell polynomials, and estimates in Orlicz-Sobolev-Slobodeckij and total variation spaces. (English) Zbl 1532.05013
Stirling numbers. (English) Zbl 07801298
Selected Chapters of Number Theory: Special Numbers 3. Singapore: World Scientific (ISBN 978-981-12-7809-9/hbk; 978-981-12-7811-2/ebook). xxvii, 438 p. (2024).
Bernoulli number identities for associated Stirling numbers and derangements. (English) Zbl 07790326
Multi-solitons and integrability for a \((2+1)\)-dimensional variable coefficients Date-Jimbo-Kashiwara-Miwa equation. (English) Zbl 1529.35456
Combinatorial approach of unified Apostol-type polynomials using \(\alpha \)-distanced words. (English) Zbl 1530.11030
Reviewer: Michel Rigo (Liège)
Extension of Hoffman’s combinatorial identity via specific zeta-like series. (English) Zbl 1529.05009
Reviewer: Arvind Ayyer (Bangalore)
Mod-\( \phi\) convergence of Stirling distributions and limit theorems for zeros of their generating functions. (English) Zbl 1527.60022
Reviewer: Ludwig Paditz (Dresden)
Probabilistic degenerate derangement polynomials. arXiv:2410.09394
Preprint, arXiv:2410.09394 [math.NT] (2024).
New formulas involving Bernoulli and Stirling numbers of both kinds. arXiv:2410.05207
Preprint, arXiv:2410.05207 [math.NT] (2024).
Log-concavity and strong \(q\)-log-convexity for some generalized triangular arrays. arXiv:2409.18886
Preprint, arXiv:2409.18886 [math.CO] (2024).
Explicit bounds for Bell numbers and their ratios. arXiv:2408.14182
Preprint, arXiv:2408.14182 [math.NT] (2024).
Operational Umbral Calculus. arXiv:2407.16348
Preprint, arXiv:2407.16348 [math.CO] (2024).
On generalized Stirling numbers and zeta values. arXiv:2407.07920
Preprint, arXiv:2407.07920 [math.NT] (2024).
The Fibonacci-Fubini and Lucas-Fubini numbers. arXiv:2407.04409
Preprint, arXiv:2407.04409 [math.CO] (2024).
Probabilistic multi-Stirling numbers of the second kind and probabilistic multi-Lah numbers. arXiv:2407.00061
Preprint, arXiv:2407.00061 [math.NT] (2024).
Over-Mahonian numbers: Basic properties and unimodality. arXiv:2406.10487
Preprint, arXiv:2406.10487 [math.CO] (2024).
Probabilistic degenerate Stirling numbers of the first kind and their applications. arXiv:2406.06945
Preprint, arXiv:2406.06945 [math.CO] (2024).
Combinatorial identities with multiple harmonic-like numbers. arXiv:2406.06797
Preprint, arXiv:2406.06797 [math.NT] (2024).
Probabilistic Lah numbers and Lah-Bell polynomials. arXiv:2406.01200
Preprint, arXiv:2406.01200 [math.NT] (2024).
Probabilistic degenerate r-Stirling numbers of the second and probabilistic degenerate r-Bell polynomials. arXiv:2405.13323
Preprint, arXiv:2405.13323 [math.NT] (2024).
Old and new powerful tools for the normal ordering problem and noncommutative binomials. arXiv:2405.03001
Preprint, arXiv:2405.03001 [math.CO] (2024).
Explicit formulae for generalized Stirling and Eulerian numbers. arXiv:2404.16982
Preprint, arXiv:2404.16982 [math.CO] (2024).
Recurrence formulae for spectral determinants. arXiv:2404.12114
Preprint, arXiv:2404.12114 [math.SP] (2024).
Asymptotic for the rightmost zeros of Bell and Eulerian polynomials. arXiv:2404.03249
Preprint, arXiv:2404.03249 [math.NT] (2024).
Probabilistic bivariate Bell polynomials. arXiv:2403.16670
Preprint, arXiv:2403.16670 [math.NT] (2024).
Multinomial random combinatorial structures and \(r\)-versions of Stirling, Eulerian and Lah numbers. arXiv:2403.16448
Preprint, arXiv:2403.16448 [math.PR] (2024).
Probabilistic central Bell polynomials. arXiv:2403.00468
Preprint, arXiv:2403.00468 [math.NT] (2024).
Probabilistic derangement numbers and polynomials. arXiv:2401.03986
Preprint, arXiv:2401.03986 [math.PR] (2024).
Symmetric identities for the generalized Hermite-based unified Apostol type polynomials. (English) Zbl 07920932
On bi-variate poly-Bernoulli polynomials. (English) Zbl 07894531
Reviewer: Takao Komatsu (Hangzhou)
Stirling numbers of the first kind and Girard relations. (Portuguese. English summary) Zbl 1540.11018
MSC:
11B73
On Ramanujan’s tau-function. (English) Zbl 07874964
Note on the degenerate \(r\)-Dowling polynomials and numbers of the first kind including the generalized degenerate Jindalrae-Stirling numbers and the weak Gaenari polynomials. (English) Zbl 07859259
Study on moments of degenerate and zero-truncated degenerate Poisson random variables. (English) Zbl 07859256
Stirling numbers and the partition method for a power series expansion. (English) Zbl 07856170
Reviewer: Neha Malik (New Delhi)
A unified generalization of Touchard and Fubini polynomial extensions. (English) Zbl 07856153
Reviewer: László A. Székely (Columbia)
The triangle algorithm for Bernoulli polynomials. (English) Zbl 07856146
Reviewer: Zhihong Sun (Huaian)
Closed-form formulas, determinantal expressions, recursive relations, power series, and special values of several functions used in Clark-Ismail’s two conjectures. (English) Zbl 07837935
Uniformly generating derangements with fixed number of cycles in polynomial time. (English) Zbl 07829467
A new class of generalized Fubini polynomials and their computational algorithms. (English) Zbl 07817610
Filter Results by …
Document Type
- Journal Articles (1,911)
- Collection Articles (58)
- Books (28)
- arXiv Preprints (119)
all
top 5
Author
- Kim, Taekyun (175)
- Kim, Dae San (135)
- Qi, Feng (58)
- Corcino, Roberto Bagsarsa (47)
- Simsek, Yilmaz (47)
- Komatsu, Takao (41)
- Kim, Hyekyung (36)
- Mansour, Toufik (30)
- Srivastava, Hari Mohan (30)
- Mező, István (28)
- Shattuck, Mark A. (28)
- Kwon, JongKyum (27)
- Lee, Hyunseok (27)
- Mihoubi, Miloud (24)
- Hsu, Leetsch Charles (23)
- Khan, Waseem Ahmad (23)
- Belbachir, Hacene (22)
- Corcino, Cristina Bordaje (22)
- Acikgoz, Mehmet (21)
- Araci, Serkan (21)
- Guo, Bai-Ni (21)
- Jang, Lee-Chae (21)
- Dolgiĭ, Dmitriĭ Viktorovich (20)
- Jang, Gwan-Woo (20)
- Ricci, Paolo Emilio (20)
- Ramírez, José Luis (19)
- Boyadzhiev, Khristo N. (18)
- El-Desouky, Beih S. (17)
- Lim, Dongkyu (17)
- Luo, Qiuming (17)
- He, Tian-Xiao (16)
- Ryoo, Cheon Seoung (16)
- Gould, Henry Wadsworth (15)
- Rahmani, Mourad (15)
- Kim, Hanyoung (14)
- Merca, Mircea (14)
- Park, Jin Woo (14)
- Carlitz, Leonard (13)
- Natalini, Pierpaolo (13)
- Xu, Aimin (13)
- Cakić, Nenad P. (12)
- Lengyel, Tamás (12)
- Mangontarum, Mahid M. (12)
- Schork, Matthias (12)
- Adell, José Antonio (11)
- Howard, Fredric Timothy (11)
- Mitrinović, Dragoslav S. (11)
- Nyul, Gábor (11)
- Bényi, Beáta (10)
- Duran, Ugur (10)
- Kang, Jung-Yoog (10)
- Liu, Guodong (10)
- Park, Seongho (10)
- Penson, Karol A. (10)
- Shiue, Peter Jau-Shyong (10)
- Zeng, Jiang (10)
- Cenkci, Mehmet (9)
- Dil, Ayhan (9)
- Dilcher, Karl (9)
- Gessel, Ira Martin (9)
- Kabluchko, Zakhar A. (9)
- Kargin, Levent (9)
- Kilar, Neslihan (9)
- Kwon, Hyuck In (9)
- Ma, Yuankui (9)
- Pita-Ruiz, Claudio (9)
- Quaintance, Jocelyn (9)
- Radoux, Christian (9)
- Wang, Weiping (9)
- Bayad, Abdelmejid (8)
- Blasiak, Pawel (8)
- Butzer, Paul Leo (8)
- Choi, Junesang (8)
- Chu, Wenchang (8)
- Jung, Nam Soon (8)
- Kurt, Veli (8)
- Mitrinovic, Ruzica S. (8)
- Nadarajah, Saralees (8)
- Solomon, Allan I. (8)
- Withers, Christopher Stroude (8)
- Young, Paul Thomas (8)
- Agoh, Takashi (7)
- Davis, Donald M. (7)
- Gil, Juan B. (7)
- Jolany, Hassan (7)
- Laissaoui, Diffalah (7)
- Nkonkobe, Sithembele (7)
- Pyo, Sung-Soo (7)
- Sun, Zhi-Wei (7)
- Wuyungaowa, Magaowa (7)
- Barsky, Daniel (6)
- Birmajer, Daniel (6)
- Boutiche, Mohamed Amine (6)
- Can, Mumun (6)
- Cereceda, José Luis (6)
- Gallardo, Luis Henri (6)
- Gyimesi, Eszter (6)
- Katriel, Jacob (6)
- Kucukoglu, Irem (6)
- Kurt, Burak (6)
- and 1,538 more Authors
all
top 5
Serial
- J. Integer Seq. (107)
- Discrete Math. (70)
- Integers (54)
- Fibonacci Q. (50)
- Adv. Difference Equ. (49)
- Adv. Stud. Contemp. Math., Kyungshang (46)
- Proc. Jangjeon Math. Soc. (37)
- J. Comb. Theory, Ser. A (36)
- J. Number Theory (34)
- Electron. J. Comb. (28)
- Eur. J. Comb. (27)
- Appl. Math. Comput. (25)
- Ars Comb. (25)
- Adv. Appl. Math. (25)
- Filomat (25)
- Appl. Anal. Discrete Math. (23)
- Util. Math. (21)
- Linear Algebra Appl. (21)
- Integral Transforms Spec. Funct. (18)
- J. Appl. Math. Inform. (18)
- J. Math. Anal. Appl. (17)
- Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM (17)
- J. Comput. Appl. Math. (16)
- J. Inequal. Appl. (16)
- Discrete Appl. Math. (15)
- Russ. J. Math. Phys. (15)
- Ramanujan J. (15)
- Result. Math. (14)
- Math. Methods Appl. Sci. (13)
- Sémin. Lothar. Comb. (13)
- Mediterr. J. Math. (12)
- Miskolc Math. Notes (12)
- Int. J. Number Theory (12)
- Am. Math. Mon. (11)
- Acta Arith. (11)
- Int. J. Math. Math. Sci. (10)
- J. Math. Res. Expo. (10)
- Acta Math. Hung. (10)
- Rocky Mt. J. Math. (9)
- Math. Comput. (9)
- Proc. Am. Math. Soc. (9)
- Aequationes Math. (9)
- Australas. J. Comb. (9)
- C. R., Math., Acad. Sci. Paris (9)
- Online J. Anal. Comb. (9)
- J. Comb. (9)
- Int. J. Math. Educ. Sci. Technol. (8)
- Demonstr. Math. (8)
- Stud. Appl. Math. (8)
- J. Comb. Math. Comb. Comput. (8)
- J. Comput. Anal. Appl. (8)
- Publ. Fac. Électrotech. Univ. Belgrade, Sér. Math. Phys. (8)
- Math. Mag. (7)
- Quaest. Math. (7)
- Graphs Comb. (7)
- Abstr. Appl. Anal. (7)
- Commun. Korean Math. Soc. (7)
- Far East J. Math. Sci. (FJMS) (7)
- J. Comb. Number Theory (7)
- AIMS Math. (7)
- Comput. Math. Appl. (6)
- Indian J. Pure Appl. Math. (6)
- Jñānābha (6)
- Publ. Inst. Math., Nouv. Sér. (6)
- J. Phys. A, Math. Gen. (6)
- Proc. Indian Acad. Sci., Math. Sci. (6)
- Analysis, München (6)
- Bull. Malays. Math. Sci. Soc. (2) (6)
- J. Nonlinear Sci. Appl. (6)
- Afr. Mat. (6)
- J. Math. Res. Appl. (6)
- Open Math. (6)
- J. Math. Phys. (5)
- Publ. Math. Debr. (5)
- Facta Univ., Ser. Math. Inf. (5)
- PU.M.A., Pure Math. Appl. (5)
- Bull. Belg. Math. Soc. - Simon Stevin (5)
- Turk. J. Math. (5)
- Fractals (5)
- Notes Number Theory Discrete Math. (5)
- J. Difference Equ. Appl. (5)
- Ann. Comb. (5)
- South East Asian J. Math. Math. Sci. (5)
- Contrib. Discrete Math. (5)
- Ann. Math. Inform. (5)
- Symmetry (5)
- Matimyás Mat. (4)
- Obz. Mat. Fiz. (4)
- Period. Math. Hung. (4)
- Phys. Lett., A (4)
- Adv. Math. (4)
- Duke Math. J. (4)
- J. Korean Math. Soc. (4)
- J. Reine Angew. Math. (4)
- Proc. Edinb. Math. Soc., II. Ser. (4)
- J. Math., Wuhan Univ. (4)
- Numer. Algorithms (4)
- Proc. R. Soc. Edinb., Sect. A, Math. (4)
- C. R. Acad. Sci., Paris, Sér. I (4)
- Expo. Math. (4)
- and 371 more Serials
all
top 5
Year of Publication
- 2024 (78)
- 2023 (113)
- 2022 (136)
- 2021 (124)
- 2020 (133)
- 2019 (116)
- 2018 (119)
- 2017 (111)
- 2016 (86)
- 2015 (83)
- 2014 (95)
- 2013 (89)
- 2012 (65)
- 2011 (54)
- 2010 (48)
- 2009 (47)
- 2008 (41)
- 2007 (41)
- 2006 (46)
- 2005 (34)
- 2004 (22)
- 2003 (25)
- 2002 (17)
- 2001 (22)
- 2000 (24)
- 1999 (12)
- 1998 (13)
- 1997 (16)
- 1996 (17)
- 1995 (23)
- 1994 (29)
- 1993 (17)
- 1992 (19)
- 1991 (22)
- 1990 (22)
- 1989 (9)
- 1988 (7)
- 1987 (5)
- 1986 (6)
- 1985 (8)
- 1984 (7)
- 1983 (10)
- 1982 (6)
- 1981 (6)
- 1980 (8)
- 1979 (4)
- 1978 (9)
- 1977 (5)
- 1976 (4)
- 1975 (3)
- 1973 (2)
- 1972 (1)
- 1971 (6)
- 1970 (4)
- 1969 (5)
- 1968 (8)
- 1967 (5)
- 1966 (1)
- 1965 (3)
- 1964 (3)
- 1963 (3)
- 1962 (2)
- 1961 (4)
- 1960 (2)
- 1959 (2)
- 1958 (2)
- 1955 (1)
- 1948 (2)
- 1945 (1)
- 1938 (1)
- 1933 (1)
- 1878 (1)
all
top 3
Main Field
- 11-XX (2,018)
- 05-XX (1,244)
- 33-XX (274)
- 60-XX (113)
- 15-XX (63)
- 26-XX (60)
- 41-XX (59)
- 30-XX (38)
- 81-XX (36)
- 65-XX (35)
- 34-XX (32)
- 20-XX (29)
- 40-XX (27)
- 62-XX (24)
- 68-XX (23)
- 06-XX (20)
- 12-XX (18)
- 39-XX (17)
- 16-XX (14)
- 52-XX (14)
- 13-XX (13)
- 03-XX (11)
- 42-XX (10)
- 44-XX (10)
- 46-XX (9)
- 55-XX (9)
- 97-XX (9)
- 37-XX (8)
- 47-XX (8)
- 94-XX (8)
- 35-XX (7)
- 28-XX (6)
- 18-XX (5)
- 91-XX (5)
- 14-XX (4)
- 17-XX (4)
- 82-XX (4)
- 90-XX (4)
- 92-XX (4)
- 00-XX (3)
- 22-XX (3)
- 51-XX (3)
- 57-XX (3)
- 01-XX (2)
- 43-XX (2)
- 54-XX (2)
- 58-XX (2)
- 08-XX (1)
- 19-XX (1)
- 31-XX (1)
- 32-XX (1)
- 45-XX (1)
- 70-XX (1)
- 74-XX (1)
- 76-XX (1)
- 80-XX (1)
all
top 3
Software
- OEIS (230)
- DLMF (28)
- Mathematica (11)
- Maple (8)
- Stirling (8)
- SageMath (4)
- SumTools (3)
- FXT (2)
- GAP (2)
- GraPHedron (2)
- MathOverflow (2)
- MultiSum (2)
- OPQ (2)
- SF (2)
- SIGMA (2)
- hfloat (2)
- lsjk (2)
- ARfit (1)
- Algolib (1)
- CFSum (1)
- CliffMath (1)
- DODGSON (1)
- EULER (1)
- FindStat (1)
- HYP (1)
- HYPERG (1)
- HarmonicSums (1)
- LinBox (1)
- Macaulay2 (1)
- Magma (1)
- MersenneTwister (1)
- Mgfun (1)
- MultivariateStirlingPolynomials (1)
- NCAlgebra (1)
- Nektar++ (1)
- OpenMC (1)
- PARTITION (1)
- PRMLT (1)
- REDUCE (1)
- Sage-Combinat (1)
- Semigroups (1)
- SfePy (1)
- VGAM (1)
- XSummer (1)
- gfun (1)
- mctoolbox (1)
- numericalsgps (1)
- symfun (1)