Bényi, Beáta; Matsusaka, Toshiki Remarkable relations between the central binomial series, Eulerian polynomials, and poly-Bernoulli numbers, leading to Stephan’s observation. (English) Zbl 07770045 Kyushu J. Math. 77, No. 1, 149-158 (2023). MSC: 11B68 05A05 PDF BibTeX XML Cite \textit{B. Bényi} and \textit{T. Matsusaka}, Kyushu J. Math. 77, No. 1, 149--158 (2023; Zbl 07770045) Full Text: DOI arXiv
Kellner, Bernd C. Faulhaber polynomials and reciprocal Bernoulli polynomials. (English) Zbl 07690303 Rocky Mt. J. Math. 53, No. 1, 119-151 (2023). MSC: 11B57 11B68 PDF BibTeX XML Cite \textit{B. C. Kellner}, Rocky Mt. J. Math. 53, No. 1, 119--151 (2023; Zbl 07690303) Full Text: DOI arXiv Link
Pita-Ruiz, Claudio On a family of Euler-type numbers and polynomials. (English) Zbl 07688337 Rend. Mat. Appl., VII. Ser. 44, No. 1-2, 1-26 (2023). MSC: 11B68 11B83 PDF BibTeX XML Cite \textit{C. Pita-Ruiz}, Rend. Mat. Appl., VII. Ser. 44, No. 1--2, 1--26 (2023; Zbl 07688337) Full Text: Link
Gessel, Ira M. On the Almkvist-Meurman theorem for Bernoulli polynomials. (English) Zbl 1520.11032 Integers 23, Paper A14, 10 p. (2023). Reviewer: Zhihong Sun (Huaian) MSC: 11B68 11B73 PDF BibTeX XML Cite \textit{I. M. Gessel}, Integers 23, Paper A14, 10 p. (2023; Zbl 1520.11032) Full Text: arXiv Link
Munarini, Emanuele Two-parameter identities for \(q\)-Appell polynomials. (English) Zbl 1509.05032 J. Integer Seq. 26, No. 3, Article 23.3.1, 20 p. (2023). MSC: 05A30 05A19 05A40 11B65 11B68 33C45 33D45 PDF BibTeX XML Cite \textit{E. Munarini}, J. Integer Seq. 26, No. 3, Article 23.3.1, 20 p. (2023; Zbl 1509.05032) Full Text: Link
Bouzeraib, Meryem; Boussayoud, Ali; Aloui, Baghdadi Convolutions with the Bernoulli and Euler numbers. (English) Zbl 1512.11027 J. Integer Seq. 26, No. 2, Article 23.2.4, 18 p. (2023). Reviewer: Mohammad K. Azarian (Evansville) MSC: 11B68 11B39 05A15 PDF BibTeX XML Cite \textit{M. Bouzeraib} et al., J. Integer Seq. 26, No. 2, Article 23.2.4, 18 p. (2023; Zbl 1512.11027) Full Text: Link
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 PDF BibTeX XML Cite \textit{B. Bényi} and \textit{T. Matsusaka}, J. Théor. Nombres Bordx. 34, No. 3, 917--939 (2023; Zbl 1509.05027) Full Text: DOI arXiv
Bae, Sunghan; Hu, Su; Sha, Min On the Carmichael rings, Carmichael ideals and Carmichael polynomials. (English) Zbl 1499.13013 Colloq. Math. 171, No. 1, 1-17 (2023). Reviewer: Telveenus Antony (Kingston upon Thames) MSC: 13A15 11T06 11R58 11R60 PDF BibTeX XML Cite \textit{S. Bae} et al., Colloq. Math. 171, No. 1, 1--17 (2023; Zbl 1499.13013) Full Text: DOI arXiv
Farhi, Bakir A new generalization of the Genocchi numbers and its consequence on the Bernoulli polynomials. (English) Zbl 07732655 Adv. Pure Appl. Math. 13, No. 4, 18-28 (2022). MSC: 11B68 13F20 13F25 11C08 PDF BibTeX XML Cite \textit{B. Farhi}, Adv. Pure Appl. Math. 13, No. 4, 18--28 (2022; Zbl 07732655) Full Text: DOI arXiv
Chu, Wenchang Reciprocal convolution sums of Bernoulli and Euler polynomials. (English) Zbl 1510.11076 Bull., Cl. Sci. Math. Nat., Sci. Math. 47, 29-53 (2022). MSC: 11B68 PDF BibTeX XML Cite \textit{W. Chu}, Bull., Cl. Sci. Math. Nat., Sci. Math. 47, 29--53 (2022; Zbl 1510.11076) Full Text: Link
Bencherif, Farid; Mokhtari, Nouara; Zerroukhat, Schehrazade A new identity for Appell polynomials. (English) Zbl 1507.11018 J. Integer Seq. 25, No. 8, Article 22.8.2, 8 p. (2022). Reviewer: Takao Komatsu (Hangzhou) MSC: 11B68 05A10 PDF BibTeX XML Cite \textit{F. Bencherif} et al., J. Integer Seq. 25, No. 8, Article 22.8.2, 8 p. (2022; Zbl 1507.11018) Full Text: Link
Boyadzhiev, Khristo N.; Manns, Steven On a series of Ramanujan, dilogarithm values, and solitons. (English) Zbl 1508.11092 Involve 15, No. 3, 411-425 (2022). Reviewer: Sami Omar (Sukhair) MSC: 11M41 33B30 PDF BibTeX XML Cite \textit{K. N. Boyadzhiev} and \textit{S. Manns}, Involve 15, No. 3, 411--425 (2022; Zbl 1508.11092) Full Text: DOI arXiv
Sun, Zhi-Hong Congruences for certain families of Apéry-like sequences. (English) Zbl 07584107 Czech. Math. J. 72, No. 3, 875-912 (2022). MSC: 05A10 05A19 11A07 11B68 11E25 PDF BibTeX XML Cite \textit{Z.-H. Sun}, Czech. Math. J. 72, No. 3, 875--912 (2022; Zbl 07584107) Full Text: DOI
Ricci, Paolo Emilio; Natalini, Pierpaolo Hypergeometric Bernoulli polynomials and \(r\)-associated Stirling numbers of the second kind. (English) Zbl 1498.33008 Integers 22, Paper A56, 12 p. (2022). Reviewer: Thomas Ernst (Uppsala) MSC: 33C45 11B68 11B73 PDF BibTeX XML Cite \textit{P. E. Ricci} and \textit{P. Natalini}, Integers 22, Paper A56, 12 p. (2022; Zbl 1498.33008) Full Text: Link
Khaldi, Laala; Boumahdi, Rachid Some observations on alternating power sums. (English) Zbl 1501.11037 J. Integer Seq. 25, No. 5, Article 22.5.2, 9 p. (2022). MSC: 11B68 11B73 11B65 11A07 PDF BibTeX XML Cite \textit{L. Khaldi} and \textit{R. Boumahdi}, J. Integer Seq. 25, No. 5, Article 22.5.2, 9 p. (2022; Zbl 1501.11037) Full Text: Link
Schumacher, Raphael The generalization of Faulhaber’s formula to sums of arbitrary complex powers. (English) Zbl 1492.65007 J. Integer Seq. 25, No. 3, Article 22.3.7, 22 p. (2022). MSC: 65B15 11B68 PDF BibTeX XML Cite \textit{R. Schumacher}, J. Integer Seq. 25, No. 3, Article 22.3.7, 22 p. (2022; Zbl 1492.65007) Full Text: arXiv Link
Kellner, Bernd C. Shifted sums of the Bernoulli numbers, reciprocity, and denominators. (English) Zbl 1503.11047 Rend. Mat. Appl., VII. Ser. 43, No. 2, 151-163 (2022). MSC: 11B68 11B65 PDF BibTeX XML Cite \textit{B. C. Kellner}, Rend. Mat. Appl., VII. Ser. 43, No. 2, 151--163 (2022; Zbl 1503.11047) Full Text: arXiv Link
Dilcher, Karl; Jiu, Lin Hankel determinants of sequences related to Bernoulli and Euler polynomials. (English) Zbl 1498.11072 Int. J. Number Theory 18, No. 2, 331-359 (2022). MSC: 11B68 11C20 PDF BibTeX XML Cite \textit{K. Dilcher} and \textit{L. Jiu}, Int. J. Number Theory 18, No. 2, 331--359 (2022; Zbl 1498.11072) Full Text: DOI arXiv
Guo, Dongwei; Chu, Wenchang Hybrid convolutions on Pell and Lucas polynomials. (English) Zbl 1518.11018 DML, Discrete Math. Lett. 7, 44-51 (2021). MSC: 11B39 05A19 11B68 PDF BibTeX XML Cite \textit{D. Guo} and \textit{W. Chu}, DML, Discrete Math. Lett. 7, 44--51 (2021; Zbl 1518.11018) Full Text: DOI
Khan, Nabiullah; Husain, Saddam Analysis of Bell based Euler polynomials and their application. (English) Zbl 1499.11104 Int. J. Appl. Comput. Math. 7, No. 5, Paper No. 195, 16 p. (2021). MSC: 11B68 33B15 33C05 33C10 33C15 33C45 33E20 PDF BibTeX XML Cite \textit{N. Khan} and \textit{S. Husain}, Int. J. Appl. Comput. Math. 7, No. 5, Paper No. 195, 16 p. (2021; Zbl 1499.11104) Full Text: DOI arXiv
Guo, Bai-Ni; Qi, Feng Viewing some ordinary differential equations from the angle of derivative polynomials. (English) Zbl 1505.34023 Iran. J. Math. Sci. Inform. 16, No. 1, 77-95 (2021). MSC: 34A30 11B68 11B73 33B99 PDF BibTeX XML Cite \textit{B.-N. Guo} and \textit{F. Qi}, Iran. J. Math. Sci. Inform. 16, No. 1, 77--95 (2021; Zbl 1505.34023) Full Text: Link
Gubarev, Vsevolod Rota-Baxter operators and Bernoulli polynomials. (English) Zbl 1476.11038 Commun. Math. 29, No. 1, 1-14 (2021). MSC: 11B68 16W99 17B38 PDF BibTeX XML Cite \textit{V. Gubarev}, Commun. Math. 29, No. 1, 1--14 (2021; Zbl 1476.11038) Full Text: DOI arXiv
Adegoke, Kunle Relating certain weighted Fibonacci series to Bernoulli polynomials via the polylogarithm function. (English) Zbl 1460.11021 J. Integer Seq. 24, No. 2, Article 21.2.6, 16 p. (2021). MSC: 11B39 11B68 33B30 PDF BibTeX XML Cite \textit{K. Adegoke}, J. Integer Seq. 24, No. 2, Article 21.2.6, 16 p. (2021; Zbl 1460.11021) Full Text: arXiv 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 PDF BibTeX XML Cite \textit{J. L. Cereceda}, Int. J. Math. Educ. Sci. Technol. 51, No. 6, 954--966 (2020; Zbl 1475.97002) Full Text: DOI
Svinin, A. K. On some sequences of polynomials generating the Genocchi numbers. (English. Russian original) Zbl 1473.11056 Russ. Math. 64, No. 9, 76-84 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 9, 85-95 (2020). MSC: 11B68 11B65 PDF BibTeX XML Cite \textit{A. K. Svinin}, Russ. Math. 64, No. 9, 76--84 (2020; Zbl 1473.11056); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 9, 85--95 (2020) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{R. Chellal} et al., J. Integer Seq. 23, No. 11, Article 20.11.2, 25 p. (2020; Zbl 1471.11095) Full Text: arXiv Link
Boyadzhiev, Khristo N. Sums of powers and special polynomials. (English) Zbl 1463.11062 Discuss. Math., Gen. Algebra Appl. 40, No. 2, 275-283 (2020). MSC: 11B68 11B73 11C08 PDF BibTeX XML Cite \textit{K. N. Boyadzhiev}, Discuss. Math., Gen. Algebra Appl. 40, No. 2, 275--283 (2020; Zbl 1463.11062) Full Text: DOI arXiv
Matsusaka, Toshiki Symmetrized poly-Bernoulli numbers and combinatorics. (English) Zbl 1476.11052 J. Integer Seq. 23, No. 9, Article 20.9.2, 8 p. (2020). MSC: 11B68 05A15 PDF BibTeX XML Cite \textit{T. Matsusaka}, J. Integer Seq. 23, No. 9, Article 20.9.2, 8 p. (2020; Zbl 1476.11052) Full Text: arXiv Link
Sun, Zhi-Hong Congruences involving binomial coefficients and Apéry-like numbers. (English) Zbl 1474.11002 Publ. Math. Debr. 96, No. 3-4, 315-346 (2020). MSC: 11A07 11B65 11B68 11E25 PDF BibTeX XML Cite \textit{Z.-H. Sun}, Publ. Math. Debr. 96, No. 3--4, 315--346 (2020; Zbl 1474.11002) Full Text: DOI arXiv
Chapoton, Frédéric; Han, Guo-Niu On the roots of the Poupard and Kreweras polynomials. (English) Zbl 1448.26020 Mosc. J. Comb. Number Theory 9, No. 2, 163-172 (2020). Reviewer: Piroska Lakatos (Debrecen) MSC: 26C10 11B68 11B83 39A70 47B39 PDF BibTeX XML Cite \textit{F. Chapoton} and \textit{G.-N. Han}, Mosc. J. Comb. Number Theory 9, No. 2, 163--172 (2020; Zbl 1448.26020) Full Text: DOI arXiv
Chapoton, Frédéric Ramanujan-Bernoulli numbers as moments of Racah polynomials. (English. French summary) Zbl 1469.11035 J. Théor. Nombres Bordx. 32, No. 1, 205-215 (2020). MSC: 11B68 11Y65 33C45 PDF BibTeX XML Cite \textit{F. Chapoton}, J. Théor. Nombres Bordx. 32, No. 1, 205--215 (2020; Zbl 1469.11035) Full Text: DOI arXiv
Chapoton, F. On some tree-indexed series with one and two parameters. (English) Zbl 1445.05027 Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 431-443 (2020). MSC: 05C05 52B05 11B68 PDF BibTeX XML Cite \textit{F. Chapoton}, Springer Proc. Math. Stat. 314, 431--443 (2020; Zbl 1445.05027) Full Text: DOI
Kim, D. S.; Kim, T. A note on a new type of degenerate Bernoulli numbers. (English) Zbl 1468.11072 Russ. J. Math. Phys. 27, No. 2, 227-235 (2020). MSC: 11B68 33B30 PDF BibTeX XML Cite \textit{D. S. Kim} and \textit{T. Kim}, Russ. J. Math. Phys. 27, No. 2, 227--235 (2020; Zbl 1468.11072) Full Text: DOI arXiv
Goubi, Mouloud Relating balancing polynomials to Lucas-balancing polynomials via Bernoulli numbers. (English) Zbl 1448.11035 J. Integer Seq. 23, No. 4, Article 20.4.2, 7 p. (2020). MSC: 11B39 11B68 05A15 PDF BibTeX XML Cite \textit{M. Goubi}, J. Integer Seq. 23, No. 4, Article 20.4.2, 7 p. (2020; Zbl 1448.11035) Full Text: Link
Dai, Lei; Pan, Hao Closed forms for degenerate Bernoulli polynomials. (English) Zbl 1476.11037 Bull. Aust. Math. Soc. 101, No. 2, 207-217 (2020). MSC: 11B68 05A10 11B65 11B73 PDF BibTeX XML Cite \textit{L. Dai} and \textit{H. Pan}, Bull. Aust. Math. Soc. 101, No. 2, 207--217 (2020; Zbl 1476.11037) Full Text: DOI
Athanasiadis, Christos A. Binomial Eulerian polynomials for colored permutations. (English) Zbl 1435.05003 J. Comb. Theory, Ser. A 173, Article ID 105214, 38 p. (2020). MSC: 05A05 11B68 05A15 05E05 52B05 PDF BibTeX XML Cite \textit{C. A. Athanasiadis}, J. Comb. Theory, Ser. A 173, Article ID 105214, 38 p. (2020; Zbl 1435.05003) Full Text: DOI arXiv
Sun, Yidong; Zhai, Liting Some properties of a class of refined Eulerian polynomials. (English) Zbl 1449.11040 J. Math. Res. Appl. 39, No. 6, 593-602 (2019). MSC: 11B68 05A05 05A15 PDF BibTeX XML Cite \textit{Y. Sun} and \textit{L. Zhai}, J. Math. Res. Appl. 39, No. 6, 593--602 (2019; Zbl 1449.11040) Full Text: DOI arXiv
Qi, Feng; Liu, Ai-Qi; Lim, Dongkyu Explicit expressions related to degenerate Cauchy numbers and their generating function. (English) Zbl 1429.11045 Singh, Jagdev (ed.) et al., Mathematical modelling, applied analysis and computation. Selected papers of the first international conference, ICMMAAC 2018, JECRC University, Jaipur, India, July 6–8, 2018. Singapore: Springer. Springer Proc. Math. Stat. 272, 41-52 (2019). MSC: 11B68 11B83 33B10 34A05 34A34 PDF BibTeX XML Cite \textit{F. Qi} et al., Springer Proc. Math. Stat. 272, 41--52 (2019; Zbl 1429.11045) Full Text: DOI HAL
Qi, Feng; Niu, Da-Wei; Guo, Bai-Ni Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind. (English) Zbl 1429.34025 AIMS Math. 4, No. 2, 170-175 (2019). MSC: 34A30 11A25 11B68 11B73 11B83 PDF BibTeX XML Cite \textit{F. Qi} et al., AIMS Math. 4, No. 2, 170--175 (2019; Zbl 1429.34025) Full Text: DOI
Brychkov, Yu. A.; Savischenko, N. V. Series involving \(\psi(z)\) and \(\zeta(z, s)\) functions and evaluation of integrals. (English) Zbl 1425.11035 Lobachevskii J. Math. 40, No. 7, 954-963 (2019). MSC: 11B68 11M06 33B15 PDF BibTeX XML Cite \textit{Yu. A. Brychkov} and \textit{N. V. Savischenko}, Lobachevskii J. Math. 40, No. 7, 954--963 (2019; Zbl 1425.11035) Full Text: DOI
Frontczak, Robert Relating Fibonacci numbers to Bernoulli numbers via balancing polynomials. (English) Zbl 1461.11033 J. Integer Seq. 22, No. 5, Article 19.5.3, 16 p. (2019). MSC: 11B39 11B68 05A15 PDF BibTeX XML Cite \textit{R. Frontczak}, J. Integer Seq. 22, No. 5, Article 19.5.3, 16 p. (2019; Zbl 1461.11033) Full Text: Link
Hu, Su; Kim, Min-Soo; Moree, Pieter; Sha, Min Irregular primes with respect to Genocchi numbers and Artin’s primitive root conjecture. (English) Zbl 1473.11051 J. Number Theory 205, 59-80 (2019). MSC: 11B68 11A07 11R29 PDF BibTeX XML Cite \textit{S. Hu} et al., J. Number Theory 205, 59--80 (2019; Zbl 1473.11051) Full Text: DOI arXiv Link
Liu, Fu; Tsuchiya, Akiyoshi Stanley’s non-Ehrhart-positive order polytopes. (English) Zbl 1420.52016 Adv. Appl. Math. 108, 1-10 (2019). MSC: 52B20 05A15 PDF BibTeX XML Cite \textit{F. Liu} and \textit{A. Tsuchiya}, Adv. Appl. Math. 108, 1--10 (2019; Zbl 1420.52016) Full Text: DOI arXiv
Wang, Danielle The Eulerian distribution on involutions is indeed \(\gamma\)-positive. (English) Zbl 1414.05020 J. Comb. Theory, Ser. A 165, 139-151 (2019). MSC: 05A05 11B83 11B68 PDF BibTeX XML Cite \textit{D. Wang}, J. Comb. Theory, Ser. A 165, 139--151 (2019; Zbl 1414.05020) Full Text: DOI arXiv
Jiu, Lin; Shi, Diane Yahui Orthogonal polynomials and connection to generalized Motzkin numbers for higher-order Euler polynomials. (English) Zbl 1444.11039 J. Number Theory 199, 389-402 (2019). Reviewer: Thomas Ernst (Uppsala) MSC: 11B68 33D45 05A99 PDF BibTeX XML Cite \textit{L. Jiu} and \textit{D. Y. Shi}, J. Number Theory 199, 389--402 (2019; Zbl 1444.11039) Full Text: DOI
Qi, Feng; Lim, Dongkyu; Guo, Bai-Ni Some identities related to Eulerian polynomials and involving the Stirling numbers. (English) Zbl 1488.11061 Appl. Anal. Discrete Math. 12, No. 2, 467-480 (2018). MSC: 11B73 11B68 05A15 PDF BibTeX XML Cite \textit{F. Qi} et al., Appl. Anal. Discrete Math. 12, No. 2, 467--480 (2018; Zbl 1488.11061) Full Text: DOI
Lim, Dongkyu; Qi, Feng Some symmetric identities involving the Stirling polynomials under the finite symmetric group. (English) Zbl 1425.11042 Mathematics 6, No. 12, Paper No. 332, 10 p. (2018). MSC: 11B68 11B73 20C30 05A19 PDF BibTeX XML Cite \textit{D. Lim} and \textit{F. Qi}, Mathematics 6, No. 12, Paper No. 332, 10 p. (2018; Zbl 1425.11042) Full Text: DOI
Jang, Lee-Chae; Kim, Taekyun; Kim, Dae San; Dolgy, Dmitry Victorovich On \(p\)-adic fermionic integrals of \(q\)-Bernstein polynomials associated with \(q\)-Euler numbers and polynomials. (English) Zbl 1423.11053 Symmetry 10, No. 8, Paper No. 311, 9 p. (2018). MSC: 11B68 11S80 PDF BibTeX XML Cite \textit{L.-C. Jang} et al., Symmetry 10, No. 8, Paper No. 311, 9 p. (2018; Zbl 1423.11053) Full Text: DOI
Ryoo, Cheon Seoung; Hwang, Kyung Won; Kim, Do Jin; Jung, Nam Soon Dynamics of the zeros of analytic continued polynomials and differential equations associated with \(q\)-tangent polynomials. (English) Zbl 1438.11055 J. Nonlinear Sci. Appl. 11, No. 6, 785-797 (2018). MSC: 11B68 11B75 05A30 PDF BibTeX XML Cite \textit{C. S. Ryoo} et al., J. Nonlinear Sci. Appl. 11, No. 6, 785--797 (2018; Zbl 1438.11055) Full Text: DOI
Ernst, Thomas On several \(q\)-special matrices, including the \(q\)-Bernoulli and \(q\)-Euler matrices. (English) Zbl 1431.11034 Linear Algebra Appl. 542, 422-440 (2018). MSC: 11B68 11B73 05A30 33D99 05A40 PDF BibTeX XML Cite \textit{T. Ernst}, Linear Algebra Appl. 542, 422--440 (2018; Zbl 1431.11034) Full Text: DOI
Komatsu, Takao Truncated Bernoulli-Carlitz and truncated Cauchy-Carlitz numbers. (English) Zbl 1452.11137 Tokyo J. Math. 41, No. 2, 541-556 (2018). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R58 05A15 05A19 11B68 11B75 11T55 PDF BibTeX XML Cite \textit{T. Komatsu}, Tokyo J. Math. 41, No. 2, 541--556 (2018; Zbl 1452.11137) Full Text: DOI arXiv
Onodera, Kazuhiro On generalized Mordell-Tornheim zeta functions. (English) Zbl 1441.11220 Ramanujan J. 47, No. 1, 201-219 (2018). MSC: 11M32 11B68 PDF BibTeX XML Cite \textit{K. Onodera}, Ramanujan J. 47, No. 1, 201--219 (2018; Zbl 1441.11220) Full Text: DOI
Wang, Xiaoyuan; Chu, Wenchang Reciprocal relations of Bernoulli and Euler numbers/polynomials. (English) Zbl 1397.11055 Integral Transforms Spec. Funct. 29, No. 10, 831-841 (2018). MSC: 11B68 05A10 PDF BibTeX XML Cite \textit{X. Wang} and \textit{W. Chu}, Integral Transforms Spec. Funct. 29, No. 10, 831--841 (2018; Zbl 1397.11055) Full Text: DOI
Zekiri, Abdelmoumène; Bencherif, Farid; Boumahdi, Rachid Generalization of an identity of Apostol. (English) Zbl 1390.11044 J. Integer Seq. 21, No. 5, Article 18.5.1, 7 p. (2018). MSC: 11B39 11B68 11B50 PDF BibTeX XML Cite \textit{A. Zekiri} et al., J. Integer Seq. 21, No. 5, Article 18.5.1, 7 p. (2018; Zbl 1390.11044) Full Text: Link
Nakamigawa, Tomoki; Sakuma, Tadashi The expansion of a chord diagram and the Tutte polynomial. (English) Zbl 1384.05101 Discrete Math. 341, No. 6, 1573-1581 (2018). MSC: 05C31 11B68 PDF BibTeX XML Cite \textit{T. Nakamigawa} and \textit{T. Sakuma}, Discrete Math. 341, No. 6, 1573--1581 (2018; Zbl 1384.05101) Full Text: DOI
Hu, S.; Kim, M.-S. On hypergeometric Bernoulli numbers and polynomials. (English) Zbl 1413.11104 Acta Math. Hung. 154, No. 1, 134-146 (2018). MSC: 11M35 11B68 PDF BibTeX XML Cite \textit{S. Hu} and \textit{M. S. Kim}, Acta Math. Hung. 154, No. 1, 134--146 (2018; Zbl 1413.11104) Full Text: DOI arXiv
Coffey, Mark W. Bernoulli identities, zeta relations, determinant expressions, Mellin transforms, and representation of the Hurwitz numbers. (English) Zbl 1374.11030 J. Number Theory 184, 27-67 (2018). MSC: 11B68 11C20 11M06 PDF BibTeX XML Cite \textit{M. W. Coffey}, J. Number Theory 184, 27--67 (2018; Zbl 1374.11030) Full Text: DOI arXiv
Kim, Dae San; Kim, Taekyun A generalization of power and alternating power sums to any Appell polynomials. (English) Zbl 1488.05036 Filomat 31, No. 1, 141-157 (2017). MSC: 05A40 11B68 11B75 11B83 PDF BibTeX XML Cite \textit{D. S. Kim} and \textit{T. Kim}, Filomat 31, No. 1, 141--157 (2017; Zbl 1488.05036) Full Text: DOI
Qi, Feng; Guo, Bai-Ni Two nice determinantal expressions and a recurrence relation for the Apostol-Bernoulli polynomials. (English) Zbl 1460.11028 J. Indones. Math. Soc. 23, No. 1, 81-87 (2017). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11B68 11C20 15A15 PDF BibTeX XML Cite \textit{F. Qi} and \textit{B.-N. Guo}, J. Indones. Math. Soc. 23, No. 1, 81--87 (2017; Zbl 1460.11028) Full Text: DOI
Zhao, Jiao-Lian; Wang, Jing-Lin; Qi, Feng Derivative polynomials of a function related to the Apostol-Euler and Frobenius-Euler numbers. (English) Zbl 1412.11049 J. Nonlinear Sci. Appl. 10, No. 4, 1345-1349 (2017). MSC: 11B68 11B73 34A34 PDF BibTeX XML Cite \textit{J.-L. Zhao} et al., J. Nonlinear Sci. Appl. 10, No. 4, 1345--1349 (2017; Zbl 1412.11049) Full Text: DOI
Qi, Feng; Araci, Serkan; Acikgoz, Mehmet On an analogue of Euler polynomials and related to extended fermionic \(p\)-adic integrals on \( \mathbb{Z}_{p} \). (English) Zbl 1391.11039 Iran. J. Sci. Technol., Trans. A, Sci. 41, No. 3, 613-618 (2017). MSC: 11B68 11S80 PDF BibTeX XML Cite \textit{F. Qi} et al., Iran. J. Sci. Technol., Trans. A, Sci. 41, No. 3, 613--618 (2017; Zbl 1391.11039) Full Text: DOI arXiv
Böckle, Gebhard; Thakur, Dinesh S. Leading coefficient of the Goss zeta value and \(p\)-ranks of Jacobians of Carlitz cyclotomic covers. (English. French summary) Zbl 1430.11124 J. Théor. Nombres Bordx. 29, No. 3, 963-995 (2017). MSC: 11M38 11R60 14H40 14H05 PDF BibTeX XML Cite \textit{G. Böckle} and \textit{D. S. Thakur}, J. Théor. Nombres Bordx. 29, No. 3, 963--995 (2017; Zbl 1430.11124) Full Text: DOI
Qi, Feng; Guo, Bai-Ni A closed form for the Stirling polynomials in terms of the Stirling numbers. (English) Zbl 1432.11025 Tbil. Math. J. 10, No. 4, 153-158 (2017). MSC: 11B73 11B68 33B10 PDF BibTeX XML Cite \textit{F. Qi} and \textit{B.-N. Guo}, Tbil. Math. J. 10, No. 4, 153--158 (2017; Zbl 1432.11025) Full Text: DOI
Qi, Feng; Guo, Bai-Ni Explicit formulas for special values of the Bell polynomials of the second kind and for the Euler numbers and polynomials. (English) Zbl 1427.11023 Mediterr. J. Math. 14, No. 3, Paper No. 140, 14 p. (2017). MSC: 11B68 11B73 12E10 33B10 PDF BibTeX XML Cite \textit{F. Qi} and \textit{B.-N. Guo}, Mediterr. J. Math. 14, No. 3, Paper No. 140, 14 p. (2017; Zbl 1427.11023) Full Text: DOI
Schmidt, Maxie D. Zeta series generating function transformations related to polylogarithm functions and the \(k\)-order harmonic numbers. (English) Zbl 1364.11142 Online J. Anal. Comb. 12, Article 2, 22 p. (2017). MSC: 11M41 05A15 11B73 11B75 11B68 PDF BibTeX XML Cite \textit{M. D. Schmidt}, Online J. Anal. Comb. 12, Article 2, 22 p. (2017; Zbl 1364.11142) Full Text: arXiv Link
Kargın, Levent Some formulae for products of geometric polynomials with applications. (English) Zbl 1394.11022 J. Integer Seq. 20, No. 4, Article 17.4.4, 15 p. (2017). MSC: 11B83 11B68 11B75 PDF BibTeX XML Cite \textit{L. Kargın}, J. Integer Seq. 20, No. 4, Article 17.4.4, 15 p. (2017; Zbl 1394.11022) Full Text: arXiv EMIS
Qi, Feng; Guo, Bai-Ni Some determinantal expressions and recurrence relations of the Bernoulli polynomials. (English) Zbl 1375.11021 Mathematics 4, No. 4, Paper No. 65, 11 p. (2016). MSC: 11B68 15A15 PDF BibTeX XML Cite \textit{F. Qi} and \textit{B.-N. Guo}, Mathematics 4, No. 4, Paper No. 65, 11 p. (2016; Zbl 1375.11021) Full Text: DOI
Komatsu, Takao; Mező, István Several explicit formulae of Cauchy polynomials in terms of \(r\)-Stirling numbers. (English) Zbl 1374.05018 Acta Math. Hung. 148, No. 2, 522-529 (2016). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 05A15 05A19 11B68 11B73 11B75 PDF BibTeX XML Cite \textit{T. Komatsu} and \textit{I. Mező}, Acta Math. Hung. 148, No. 2, 522--529 (2016; Zbl 1374.05018) Full Text: DOI
Hooshmand, M. H. Analytic summability of real and complex functions. (English) Zbl 1402.40001 J. Contemp. Math. Anal., Armen. Acad. Sci. 51, No. 5, 262-268 (2016) and Izv. Nats. Akad. Nauk Armen., Mat. 51, No. 5, 63-73 (2016). MSC: 40A30 39B12 11B68 PDF BibTeX XML Cite \textit{M. H. Hooshmand}, J. Contemp. Math. Anal., Armen. Acad. Sci. 51, No. 5, 262--268 (2016; Zbl 1402.40001) Full Text: DOI
Guo, Bai-Ni; Mezö, István; Qi, Feng An explicit formula for Bernoulli polynomials in terms of \(r\)-Stirling numbers of the second kind. (English) Zbl 1371.11045 Rocky Mt. J. Math. 46, No. 6, 1919-1923 (2016). MSC: 11B68 11B73 05A18 PDF BibTeX XML Cite \textit{B.-N. Guo} et al., Rocky Mt. J. Math. 46, No. 6, 1919--1923 (2016; Zbl 1371.11045) Full Text: DOI arXiv Euclid
Kim, Taekyun; Kim, Dae San; Seo, Jong-Jin Fully degenerate poly-Bernoulli numbers and polynomials. (English) Zbl 1345.11014 Open Math. 14, 545-556 (2016). MSC: 11B68 05A19 05A40 PDF BibTeX XML Cite \textit{T. Kim} et al., Open Math. 14, 545--556 (2016; Zbl 1345.11014) Full Text: DOI arXiv
Lim, Dongkyu Some identities of degenerate Genocchi polynomials. (English) Zbl 1338.11030 Bull. Korean Math. Soc. 53, No. 2, 569-579 (2016). MSC: 11B68 11B75 11B83 33E30 33F99 PDF BibTeX XML Cite \textit{D. Lim}, Bull. Korean Math. Soc. 53, No. 2, 569--579 (2016; Zbl 1338.11030) Full Text: DOI Link
Sun, Zhi-Hong Supercongruences involving Bernoulli polynomials. (English) Zbl 1419.11005 Int. J. Number Theory 12, No. 5, 1259-1271 (2016). MSC: 11A07 11B68 05A19 PDF BibTeX XML Cite \textit{Z.-H. Sun}, Int. J. Number Theory 12, No. 5, 1259--1271 (2016; Zbl 1419.11005) Full Text: DOI
Sun, Zhi-Hong Supercongruences involving Euler polynomials. (English) Zbl 1388.11005 Proc. Am. Math. Soc. 144, No. 8, 3295-3308 (2016). MSC: 11A07 11B68 05A19 PDF BibTeX XML Cite \textit{Z.-H. Sun}, Proc. Am. Math. Soc. 144, No. 8, 3295--3308 (2016; Zbl 1388.11005) Full Text: DOI
Schumacher, Raphael An extended version of Faulhaber’s formula. (English) Zbl 1353.11044 J. Integer Seq. 19, No. 4, Article 16.4.2, 6 p. (2016). MSC: 11B68 PDF BibTeX XML Cite \textit{R. Schumacher}, J. Integer Seq. 19, No. 4, Article 16.4.2, 6 p. (2016; Zbl 1353.11044) Full Text: EMIS
Han, Guo-Niu; Josuat-Vergès, Matthieu Flag statistics from the Ehrhart \(h^\ast\)-polynomial of multi-hypersimplices. (English) Zbl 1336.05151 Electron. J. Comb. 23, No. 1, Research Paper P1.55, 20 p. (2016). MSC: 05E45 05E15 52B05 05A05 11B68 52B20 PDF BibTeX XML Cite \textit{G.-N. Han} and \textit{M. Josuat-Vergès}, Electron. J. Comb. 23, No. 1, Research Paper P1.55, 20 p. (2016; Zbl 1336.05151) Full Text: arXiv Link
Lim, Dongkyu Modified \(q\)-Daehee numbers and polynomials. (English) Zbl 1333.11022 J. Comput. Anal. Appl. 21, No. 2, 324-330 (2016). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{D. Lim}, J. Comput. Anal. Appl. 21, No. 2, 324--330 (2016; Zbl 1333.11022)
Jang, Lee-Chae; Kim, Taekyun Some identities of Bell polynomials. (English) Zbl 1353.11047 J. Comput. Anal. Appl. 20, No. 3, 584-589 (2016). MSC: 11B73 11B68 11S40 05A19 05A40 PDF BibTeX XML Cite \textit{L.-C. Jang} and \textit{T. Kim}, J. Comput. Anal. Appl. 20, No. 3, 584--589 (2016; Zbl 1353.11047)
Kanemitsu, Shigeru; Kuzumaki, Takako; Urbanowicz, Jerzy On congruences for certain sums of E. Lehmer’s type. (English) Zbl 1408.11012 Hardy-Ramanujan J. 38, 1-28 (2016). MSC: 11B68 11R42 11A07 PDF BibTeX XML Cite \textit{S. Kanemitsu} et al., Hardy-Ramanujan J. 38, 1--28 (2016; Zbl 1408.11012) Full Text: Link
Quaintance, Jocelyn [Gould, H. W.] Combinatorial identities for Stirling numbers. The unpublished notes of H. W. Gould. (English) Zbl 1343.11002 Hackensack, NJ: World Scientific (ISBN 978-981-4725-26-2/hbk; 978-981-4725-29-3/ebook). xv, 260 p. (2016). Reviewer: László A. Székely (Columbia) MSC: 11-02 11B73 11B65 11B68 05A15 05A19 PDF BibTeX XML Cite \textit{J. Quaintance}, Combinatorial identities for Stirling numbers. The unpublished notes of H. W. Gould. Hackensack, NJ: World Scientific (2016; Zbl 1343.11002) Full Text: DOI
Pita Ruiz V., Claudio de J. Carlitz-type and other Bernoulli identities. (English) Zbl 1364.11058 J. Integer Seq. 19, No. 1, Article 16.1.8, 27 p. (2016). Reviewer: Olaf Ninnemann (Berlin) MSC: 11B68 05A19 PDF BibTeX XML Cite \textit{C. de J. Pita Ruiz V.}, J. Integer Seq. 19, No. 1, Article 16.1.8, 27 p. (2016; Zbl 1364.11058) Full Text: EMIS
Singh, Jitender Defining sums of products of power sums. (English) Zbl 1364.11013 J. Integer Seq. 19, No. 1, Article 16.1.2, 16 p. (2016). MSC: 11A25 11B68 05A10 PDF BibTeX XML Cite \textit{J. Singh}, J. Integer Seq. 19, No. 1, Article 16.1.2, 16 p. (2016; Zbl 1364.11013) Full Text: EMIS
Qi, Feng; Chapman, Robin J. Two closed forms for the Bernoulli polynomials. (English) Zbl 1400.11070 J. Number Theory 159, 89-100 (2016). MSC: 11B68 11B73 PDF BibTeX XML Cite \textit{F. Qi} and \textit{R. J. Chapman}, J. Number Theory 159, 89--100 (2016; Zbl 1400.11070) Full Text: DOI arXiv
Qi, Feng Derivatives of tangent function and tangent numbers. (English) Zbl 1410.11018 Appl. Math. Comput. 268, 844-858 (2015). MSC: 11B68 11B83 33B10 11C08 11M06 26A24 11B73 PDF BibTeX XML Cite \textit{F. Qi}, Appl. Math. Comput. 268, 844--858 (2015; Zbl 1410.11018) Full Text: DOI arXiv
Kim, Dae San; Kim, Taekyun A note on degenerate poly-Bernoulli numbers and polynomials. (English) Zbl 1422.11043 Adv. Difference Equ. 2015, Paper No. 258, 8 p. (2015). MSC: 11B68 11B73 11B83 PDF BibTeX XML Cite \textit{D. S. Kim} and \textit{T. Kim}, Adv. Difference Equ. 2015, Paper No. 258, 8 p. (2015; Zbl 1422.11043) Full Text: DOI
Chapoton, Frédéric; Essouabri, Driss q-Ehrhart polynomials of Gorenstein polytopes, Bernoulli umbra and related Dirichlet series. (English) Zbl 1359.52017 Mosc. J. Comb. Number Theory 5, No. 4, 13-38 (2015). Reviewer: Oleg Karpenkov (Liverpool) MSC: 52B20 11B68 PDF BibTeX XML Cite \textit{F. Chapoton} and \textit{D. Essouabri}, Mosc. J. Comb. Number Theory 5, No. 4, 13--38 (2015; Zbl 1359.52017) Full Text: arXiv Link
Sun, Zhi-Hong Super congruences concerning Bernoulli polynomials. (English) Zbl 1388.11004 Int. J. Number Theory 11, No. 8, 2393-2404 (2015). MSC: 11A07 11B68 05A19 PDF BibTeX XML Cite \textit{Z.-H. Sun}, Int. J. Number Theory 11, No. 8, 2393--2404 (2015; Zbl 1388.11004) Full Text: DOI
Rządkowski, Grzegorz An analytic approach to special numbers and polynomials. (English) Zbl 1332.11028 J. Integer Seq. 18, No. 8, Article 15.8.8, 14 p. (2015). MSC: 11B68 PDF BibTeX XML Cite \textit{G. Rządkowski}, J. Integer Seq. 18, No. 8, Article 15.8.8, 14 p. (2015; Zbl 1332.11028) Full Text: arXiv EMIS
Thakur, Dinesh S. Power sums of polynomials over finite fields and applications: a survey. (English) Zbl 1378.11101 Finite Fields Appl. 32, 171-191 (2015). MSC: 11T55 11-02 11G09 11R58 11R60 11M32 11M38 14G10 14H40 PDF BibTeX XML Cite \textit{D. S. Thakur}, Finite Fields Appl. 32, 171--191 (2015; Zbl 1378.11101) Full Text: DOI
Feng, Lei; Wang, Weiping An algorithm for computing mixed sums of products of Bernoulli polynomials and Euler polynomials. (English) Zbl 1293.11033 J. Symb. Comput. 66, 84-97 (2015). MSC: 11B68 11Y16 PDF BibTeX XML Cite \textit{L. Feng} and \textit{W. Wang}, J. Symb. Comput. 66, 84--97 (2015; Zbl 1293.11033) Full Text: DOI
Wu, Ming; Pan, Hao Sums of products of the degenerate Euler numbers. (English) Zbl 1343.11033 Adv. Difference Equ. 2014, Paper No. 40, 7 p. (2014). MSC: 11B68 11B65 11B73 PDF BibTeX XML Cite \textit{M. Wu} and \textit{H. Pan}, Adv. Difference Equ. 2014, Paper No. 40, 7 p. (2014; Zbl 1343.11033) Full Text: DOI
Moree, Pieter Numerical semigroups, cyclotomic polynomials, and Bernoulli numbers. (English) Zbl 1325.11024 Am. Math. Mon. 121, No. 10, 890-902 (2014). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11B68 20M14 11B83 11C08 PDF BibTeX XML Cite \textit{P. Moree}, Am. Math. Mon. 121, No. 10, 890--902 (2014; Zbl 1325.11024) Full Text: DOI arXiv
Neuschel, Thorsten A note on extended binomial coefficients. (English) Zbl 1309.05015 J. Integer Seq. 17, No. 10, Article 14.10.4, 9 p. (2014). MSC: 05A10 11B68 PDF BibTeX XML Cite \textit{T. Neuschel}, J. Integer Seq. 17, No. 10, Article 14.10.4, 9 p. (2014; Zbl 1309.05015) Full Text: arXiv EMIS
Zhao, Xiqiang; Zhao, Fang A kind of series transformation formula about operators. (Chinese. English summary) Zbl 1313.40009 Period. Ocean Univ. China 44, No. 1, 118-120 (2014). MSC: 40A25 11B68 11B73 05A19 PDF BibTeX XML Cite \textit{X. Zhao} and \textit{F. Zhao}, Period. Ocean Univ. China 44, No. 1, 118--120 (2014; Zbl 1313.40009)
Özden, H.; Simsek, Y. Unified presentation of \(p\)-adic \(L\)-functions associated with unification of the special numbers. (English) Zbl 1324.11023 Acta Math. Hung. 144, No. 2, 515-529 (2014). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11B68 11S40 11S80 30B50 44A05 PDF BibTeX XML Cite \textit{H. Özden} and \textit{Y. Simsek}, Acta Math. Hung. 144, No. 2, 515--529 (2014; Zbl 1324.11023) Full Text: DOI
Singh, Jitender On an arithmetic convolution. (English) Zbl 1317.11012 J. Integer Seq. 17, No. 6, Article 14.6.7, 14 p. (2014). MSC: 11A25 11B68 05A10 11B65 PDF BibTeX XML Cite \textit{J. Singh}, J. Integer Seq. 17, No. 6, Article 14.6.7, 14 p. (2014; Zbl 1317.11012) Full Text: arXiv EMIS
Bayad, Abdelmejid; Beck, Matthias Relations for Bernoulli-Barnes numbers and Barnes zeta functions. (English) Zbl 1369.11018 Int. J. Number Theory 10, No. 5, 1321-1335 (2014). Reviewer: Kaori Ota (Tokyo) MSC: 11B68 11F20 11M32 PDF BibTeX XML Cite \textit{A. Bayad} and \textit{M. Beck}, Int. J. Number Theory 10, No. 5, 1321--1335 (2014; Zbl 1369.11018) Full Text: DOI arXiv
Qi, Feng; Guo, Bai-Ni Erratum: “Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers”. (English) Zbl 1354.11020 Analysis, München 34, No. 3, 311-317 (2014). MSC: 11B68 11B73 PDF BibTeX XML Cite \textit{F. Qi} and \textit{B.-N. Guo}, Analysis, München 34, No. 3, 311--317 (2014; Zbl 1354.11020) Full Text: DOI arXiv
Guo, Bai-Ni; Qi, Feng Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind. (English) Zbl 1376.11015 J. Comput. Appl. Math. 272, 251-257 (2014). MSC: 11B68 11B73 33B10 PDF BibTeX XML Cite \textit{B.-N. Guo} and \textit{F. Qi}, J. Comput. Appl. Math. 272, 251--257 (2014; Zbl 1376.11015) Full Text: DOI arXiv
Agoh, Takashi; Dilcher, Karl Higher-order convolutions for Bernoulli and Euler polynomials. (English) Zbl 1293.11032 J. Math. Anal. Appl. 419, No. 2, 1235-1247 (2014). MSC: 11B68 05A19 PDF BibTeX XML Cite \textit{T. Agoh} and \textit{K. Dilcher}, J. Math. Anal. Appl. 419, No. 2, 1235--1247 (2014; Zbl 1293.11032) Full Text: DOI