Found 108 Documents (Results 1–100)
On bi-variate poly-Bernoulli polynomials. (English) Zbl 07894531
Reviewer: Takao Komatsu (Hangzhou)
Symmetric identities for degenerate \(q\)-poly-Genocchi numbers and polynomials. (English) Zbl 07787496
Remarkable relations between the central binomial series, Eulerian polynomials, and poly-Bernoulli numbers, leading to Stephan’s observation. (English) Zbl 1539.11036
Reviewer: Mohammad K. Azarian (Evansville)
On \(s\)-Stirling transform and poly-Cauchy numbers of the second kind with level 2. (English) Zbl 1520.11033
Combinatorial aspects of poly-Bernoulli polynomials and poly-Euler numbers. (English. French summary) Zbl 1509.05027
Alternating variants of multiple poly-Bernoulli numbers and finite multiple zeta values in characteristic 0 and \(p\). (English) Zbl 1501.11038
A note on type 2 degenerate Daehee polynomials and numbers of the second kind. (English) Zbl 1499.11105
On \(q\)-poly-Bernoulli numbers arising from combinatorial interpretations. (English) Zbl 1510.11074
Analytical properties of type 2 degenerate poly-Bernoulli polynomials associated with their applications. (English) Zbl 1494.11018
A note on polyexponential and unipoly Bernoulli polynomials of the second kind. (English) Zbl 1481.05015
Analytic continuation of multi-variable Arakawa-Kaneko zeta function for positive indices and its values at positive integers. (English) Zbl 1486.11104
Reviewer: Yilmaz Simsek (Antalya)
On poly-Bell numbers and polynomials. (English) Zbl 1486.11033
Reviewer: Balasubramanian Sury (Bangalore)
Approximations of tangent polynomials, tangent-Bernoulli and tangent-Genocchi polynomials in terms of hyperbolic functions. (English) Zbl 1499.11100
MSC:
11B68
Higher order Apostol-type poly-Genocchi polynomials with parameters \(a\), \(b\) and \(c\). (English) Zbl 1484.11071
Construction on the degenerate poly-Frobenius-Euler polynomials of complex variable. (English) Zbl 1475.30021
MSC:
30C10
A new family of degenerate poly-Genocchi polynomials with its certain properties. (English) Zbl 1472.11076
MSC:
11B68
Recursion formulas for poly-Bernoulli numbers and their applications. (English) Zbl 1478.11028
Reviewer: Mohammad K. Azarian (Evansville)
Degenerate poly-Bernoulli polynomials arising from degenerate polylogarithm. (English) Zbl 1485.11047
A note on \(q\)-analogue of poly-Euler polynomials and Arakawa-Kaneko type zeta function. (English) Zbl 1499.11114
A note on the poly-Bernoulli polynomials of the second kind. (English) Zbl 1475.11034
Reviewer: Metin Demiralp (Istanbul)
MSC:
11B68
Recurrence formulas for poly-Bernoulli polynomials. (English) Zbl 1476.11055
Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 84, 353-360 (2020).
MSC:
11B68
Zeta functions connecting multiple zeta values and poly-Bernoulli numbers. (English) Zbl 1476.11120
Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 84, 181-204 (2020).
Poly-Cauchy numbers with level 2. (English) Zbl 1475.11033
Reviewer: Yilmaz Simsek (Antalya)
A \((p, q)\)-analog of poly-Euler polynomials and some related polynomials. (English) Zbl 1446.11037
Ukr. Math. J. 72, No. 4, 536-554 (2020) and Ukr. Mat. Zh. 72, No. 4, 467-482 (2020).
On generalized Arakawa-Kaneko zeta functions with parameters \(a\), \(b\), \(c\). (English) Zbl 1477.11160
A note on the generalized Bernoulli polynomials with \((p, q)\)-polylogarithm function. (English) Zbl 1463.11066
Poly-\(p\)-Bernoulli polynomials and generalized Arakawa-Kaneko zeta function. (English) Zbl 1450.11015
Reviewer: Yilmaz Simsek (Antalya)
On polycosecant numbers. (English) Zbl 1476.11040
Multi poly-Bernoulli and multi poly-Euler polynomials. (English) Zbl 1443.11025
Dutta, Hemen (ed.) et al., Applied mathematical analysis: theory, methods, and applications. Cham: Springer. Stud. Syst. Decis. Control 177, 679-721 (2020).
MSC:
11B68
A note on \(q\)-analogue of Hermite-poly-Bernoulli numbers and polynomials. (English) Zbl 1465.11072
A study of poly-Bernoulli polynomials associated with Hermite polynomials with \(q\)-parameter. (English) Zbl 1460.11027
Reviewer: Uğur Duran (Iskenderun)
Matiyasevich-type identities for hypergeometric Bernoulli polynomials and poly-Bernoulli polynomials. (English) Zbl 1458.11046
Reviewer: Yilmaz Simsek (Antalya)
MSC:
11B68
Implicit summation formula for 2-variable Laguerre-based poly-Genocchi polynomials. (English) Zbl 1412.33018
On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application. (English. French summary) Zbl 1435.11043
A research on the generalized poly-Bernoulli polynomials with variable \(a\). (English) Zbl 1442.11041
Symmetric identities for degenerate \(q\)-poly-Bernoulli numbers and polynomials. (English) Zbl 1390.11048
On Arakawa-Kaneko zeta-functions associated with \(\mathrm{GL}_2(\mathbb{C})\) and their functional relations. (English) Zbl 1429.11043
Lonesum decomposable matrices. (English) Zbl 1376.05007
Fourier series of sums of products of poly-Bernoulli functions and their applications. (English) Zbl 1412.11039
Some identities involving \(q\)-poly-tangent numbers and polynomials and distribution of their zeros. (English) Zbl 1422.11054
Complementary Euler numbers. (English) Zbl 1413.11126
MSC:
11R42
Generalized incomplete poly-{B}ernoulli and poly-{C}auchy numbers. (English) Zbl 1399.11074
Reviewer: Anatoly N. Kochubei (Kyïv)
Generalized poly-Cauchy and poly-Bernoulli numbers by using incomplete \(r\)-Stirling numbers. (English) Zbl 1422.11046
On poly-Euler numbers. (English) Zbl 1403.11016
MSC:
11B68
Incomplete poly-Bernoulli numbers and incomplete poly-Cauchy numbers associated to the \(q\)-Hurwitz-Lerch zeta function. (English) Zbl 1427.11022
Multiple-poly-Bernoulli polynomials of the second kind associated with Hermite polynomials. (English) Zbl 1420.11045
The \(p\)-adic Arakawa-Kaneko-Hamahata zeta functions and poly-Euler polynomials. (English) Zbl 1428.11156
Generalized incomplete poly-Bernoulli polynomials and generalized incomplete poly-Cauchy polynomials. (English) Zbl 1409.11015
On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials. (English) Zbl 1348.05213
\(q\)-poly-Bernoulli numbers and \(q\)-poly-Cauchy numbers with a parameter by Jackson’s integrals. (English) Zbl 1371.11055
Reviewer: Khristo N. Boyadzhiev (Ada)
On poly-Bernoulli polynomials of the second kind with umbral calculus viewpoint. (English) Zbl 1348.11019
Generalizations of poly-Bernoulli and poly-Cauchy numbers. (English) Zbl 1359.11023
Reviewer: Roma Kačinskaitė (Šiauliai)
On supplementary formulas for Sheffer sequences. (English) Zbl 1326.39017
Reviewer: Tomasz Zgraja (Bielsko-Biała)
Shifted poly-Cauchy numbers. (English) Zbl 1320.11018
Poly-Euler polynomials and Arakawa-Kaneko type zeta functions. (English) Zbl 1366.11047
Reviewer: Anatoly N. Kochubei (Kyïv)
Explicit formulae for sums of products of Bernoulli polynomials, including poly-Bernoulli polynomials. (English) Zbl 1379.11021
Hypergeometric Cauchy numbers. (English) Zbl 1301.11030
Reviewer: István Mező (Debrecen)
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