Found 139 Documents (Results 1–100)
On bi-variate poly-Bernoulli polynomials. (English) Zbl 07894531
Reviewer: Takao Komatsu (Hangzhou)
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)
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 multi-poly-Bernoulli polynomials of the second kind. (English) Zbl 1492.11037
MSC:
11B68
Generalized harmonic numbers via poly-Bernoulli polynomials. (English) Zbl 1499.11145
Reviewer: Takao Komatsu (Hangzhou)
On \(q\)-poly-Bernoulli numbers arising from combinatorial interpretations. (English) Zbl 1510.11074
Stirling numbers with level 2 and poly-Bernoulli numbers with level 2. (English) Zbl 1499.11138
Reviewer: Moshe Roitman (Haifa)
A new family of degenerate poly-Bernoulli polynomials of the second kind with its certain related properties. (English) Zbl 1508.11032
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)
A new class of generalized polynomials associated with Hermite and poly-Bernoulli polynomials. (English) Zbl 1474.11072
Recursion formulas for poly-Bernoulli numbers and their applications. (English) Zbl 1478.11028
Reviewer: Mohammad K. Azarian (Evansville)
Degenerate Hermite poly-Bernoulli numbers and polynomials with \(q\)-parameter. (English) Zbl 1513.11076
Degenerate poly-Bernoulli polynomials arising from degenerate polylogarithm. (English) Zbl 1485.11047
Identities involving the degenerate generalized \((p,q)\)-poly-Bernoulli numbers and polynomials. (English) Zbl 1499.11092
Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials. (English) Zbl 1482.11031
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).
A note on the generalized Bernoulli polynomials with \((p, q)\)-polylogarithm function. (English) Zbl 1463.11066
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
Some applications of \(S\)-restricted set partitions. (English) Zbl 1438.11061
Reviewer: Ranjeet Sehmi (Chandigarh)
Partially degenerate poly-Bernoulli polynomials associated with Hermite polynomials. (English) Zbl 1414.11028
Restricted lonesum matrices. (English) Zbl 1424.05013
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
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
Generating functions for Legendre-based poly-Bernoulli numbers and polynomials. (English) Zbl 1378.05009
Reviewer: Matthew C. Lettington (Cardiff)
Multiple-poly-Bernoulli polynomials of the second kind associated with Hermite polynomials. (English) Zbl 1420.11045
Fourier series of sums of products of ordered Bell and poly-Bernoulli functions. (English) Zbl 1360.11045
Generalized incomplete poly-Bernoulli polynomials and generalized incomplete poly-Cauchy polynomials. (English) Zbl 1409.11015
Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers. (English) Zbl 1389.11054
Reviewer: Khristo N. Boyadzhiev (Ada)
Fully degenerate poly-Bernoulli polynomials with a \(q\) parameter. (English) Zbl 1446.11035
Reviewer: Thomas Ernst (Uppsala)
Bernoulli and poly-Bernoulli polynomial convolutions and identities of \(p\)-adic Arakawa-Kaneko zeta functions. (English) Zbl 1345.11017
Reviewer: Anatoly N. Kochubei (Kyïv)
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)
Explicit formula for generalization of poly-Bernoulli numbers and polynomials with \(a,b,c\) parameters. (English) Zbl 1412.11052
Combinatorics of poly-Bernoulli numbers. (English) Zbl 1374.05002
Reviewer: István Mező (Debrecen)
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)
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