Quan, Junjie Explicit formulas of alternating multiple zeta star values \(\zeta^\star(\bar{1}, \{1\}_{m-1}, \bar{1})\) and \(\zeta^\star(2, \{1\}_{m-1}, \bar{1})\). (English) Zbl 07512898 AIMS Math. 7, No. 1, 288-293 (2022). MSC: 11M32 11A07 PDF BibTeX XML Cite \textit{J. Quan}, AIMS Math. 7, No. 1, 288--293 (2022; Zbl 07512898) Full Text: DOI OpenURL
Li, Rusen Explicit evaluation of some integrals involving polylogarithm functions. (English) Zbl 07510850 Integral Transforms Spec. Funct. 33, No. 5, 356-372 (2022). MSC: 33E20 11B37 11M06 PDF BibTeX XML Cite \textit{R. Li}, Integral Transforms Spec. Funct. 33, No. 5, 356--372 (2022; Zbl 07510850) Full Text: DOI OpenURL
Kim, Hye Kyung; Lee, Dae Sik Some identities and reciprocity relations of unipoly-Dedekind type DC sums. (English) Zbl 07465100 J. Inequal. Appl. 2021, Paper No. 122, 23 p. (2021). MSC: 11F20 11B68 11B83 PDF BibTeX XML Cite \textit{H. K. Kim} and \textit{D. S. Lee}, J. Inequal. Appl. 2021, Paper No. 122, 23 p. (2021; Zbl 07465100) Full Text: DOI OpenURL
Nadarajah, Saralees; Chan, Stephen On the expression for expected customer choice probabilities. (English) Zbl 1479.90178 Ann. Oper. Res. 307, No. 1-2, 499-502 (2021). MSC: 90C27 91B16 PDF BibTeX XML Cite \textit{S. Nadarajah} and \textit{S. Chan}, Ann. Oper. Res. 307, No. 1--2, 499--502 (2021; Zbl 1479.90178) Full Text: DOI OpenURL
Corcino, Cristina B.; Corcino, Roberto B. Higher order Apostol-type poly-Genocchi polynomials with parameters \(a\), \(b\) and \(c\). (English) Zbl 07424088 Commun. Korean Math. Soc. 36, No. 3, 423-445 (2021). MSC: 11B68 11B73 05A15 PDF BibTeX XML Cite \textit{C. B. Corcino} and \textit{R. B. Corcino}, Commun. Korean Math. Soc. 36, No. 3, 423--445 (2021; Zbl 07424088) Full Text: DOI arXiv OpenURL
Shiraishi, Densuke On \(\ell\)-adic Galois polylogarithms and triple \(\ell\)th power residue symbols. (English) Zbl 07423442 Kyushu J. Math. 75, No. 1, 95-113 (2021). MSC: 14H30 11R32 11G55 PDF BibTeX XML Cite \textit{D. Shiraishi}, Kyushu J. Math. 75, No. 1, 95--113 (2021; Zbl 07423442) Full Text: DOI arXiv OpenURL
Kato, Masaki Sums of two-parameter deformations of multiple polylogarithms. (English) Zbl 07421276 Math. Phys. Anal. Geom. 24, No. 4, Paper No. 34, 23 p. (2021). MSC: 33E30 39A13 PDF BibTeX XML Cite \textit{M. Kato}, Math. Phys. Anal. Geom. 24, No. 4, Paper No. 34, 23 p. (2021; Zbl 07421276) Full Text: DOI OpenURL
Jha, Sumit Kumar A congruence for the number of alternating permutations. (English) Zbl 1471.05003 Missouri J. Math. Sci. 33, No. 1, 99-104 (2021). MSC: 05A05 11B68 11B73 PDF BibTeX XML Cite \textit{S. K. Jha}, Missouri J. Math. Sci. 33, No. 1, 99--104 (2021; Zbl 1471.05003) Full Text: DOI OpenURL
Khan, Waseem A.; Ali, Rifaqat; Alzobydi, Khaled Ahmad Hassan; Ahmed, Naeem A new family of degenerate poly-Genocchi polynomials with its certain properties. (English) Zbl 1472.11076 J. Funct. Spaces 2021, Article ID 6660517, 8 p. (2021). MSC: 11B68 PDF BibTeX XML Cite \textit{W. A. Khan} et al., J. Funct. Spaces 2021, Article ID 6660517, 8 p. (2021; Zbl 1472.11076) Full Text: DOI OpenURL
Xu, Ce Duality formulas for Arakawa-Kaneko zeta values and related variants. (English) Zbl 1468.11180 Bull. Malays. Math. Sci. Soc. (2) 44, No. 5, 3001-3018 (2021). MSC: 11M32 11M06 PDF BibTeX XML Cite \textit{C. Xu}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 5, 3001--3018 (2021; Zbl 1468.11180) Full Text: DOI OpenURL
Uhl, Michael Recurrence equation and integral representation of Apéry sums. (English) Zbl 1479.11143 Eur. J. Math. 7, No. 2, 793-806 (2021). MSC: 11M06 11J86 11G55 11B65 PDF BibTeX XML Cite \textit{M. Uhl}, Eur. J. Math. 7, No. 2, 793--806 (2021; Zbl 1479.11143) Full Text: DOI OpenURL
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 OpenURL
Sakugawa, Kenji Generalized Beilinson elements and generalized Soulé characters. (English) Zbl 1469.11224 Can. J. Math. 73, No. 2, 542-571 (2021). MSC: 11G55 14H45 PDF BibTeX XML Cite \textit{K. Sakugawa}, Can. J. Math. 73, No. 2, 542--571 (2021; Zbl 1469.11224) Full Text: DOI OpenURL
Sofo, Anthony Integrals involving the Legendre Chi function. (English) Zbl 1457.11114 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 24, 21 p. (2021). MSC: 11M06 11M35 11Y60 33B15 65B10 PDF BibTeX XML Cite \textit{A. Sofo}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 24, 21 p. (2021; Zbl 1457.11114) Full Text: DOI OpenURL
Kim, Taekyun; Kim, Dansan; Kim, Han-Young; Lee, Hyunseok; Jang, Lee-Chae Degenerate poly-Bernoulli polynomials arising from degenerate polylogarithm. (English) Zbl 07499682 Adv. Difference Equ. 2020, Paper No. 444, 9 p. (2020). MSC: 11B68 11B73 11B83 05A19 PDF BibTeX XML Cite \textit{T. Kim} et al., Adv. Difference Equ. 2020, Paper No. 444, 9 p. (2020; Zbl 07499682) Full Text: DOI OpenURL
Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan Construction of the type 2 poly-Frobenius-Genocchi polynomials with their certain applications. (English) Zbl 07499670 Adv. Difference Equ. 2020, Paper No. 432, 14 p. (2020). MSC: 11B83 05A19 11B68 33B30 PDF BibTeX XML Cite \textit{U. Duran} et al., Adv. Difference Equ. 2020, Paper No. 432, 14 p. (2020; Zbl 07499670) Full Text: DOI OpenURL
Lee, Dae Sik; Kim, Hye Kyung On the new type of degenerate poly-Genocchi numbers and polynomials. (English) Zbl 07499669 Adv. Difference Equ. 2020, Paper No. 431, 15 p. (2020). MSC: 11B83 11B68 05A19 PDF BibTeX XML Cite \textit{D. S. Lee} and \textit{H. K. Kim}, Adv. Difference Equ. 2020, Paper No. 431, 15 p. (2020; Zbl 07499669) Full Text: DOI OpenURL
Stewart, Seán M. A Poisson logarithmic integral for integer order powers \(n = 0, 1, 2\), and 3. (English) Zbl 07487167 J. Class. Anal. 17, No. 1, 1-11 (2020). MSC: 40C10 42A16 PDF BibTeX XML Cite \textit{S. M. Stewart}, J. Class. Anal. 17, No. 1, 1--11 (2020; Zbl 07487167) Full Text: DOI OpenURL
Kim, Young Rok; Lee, Hui Young; Kim, Ahyun A note on \(q\)-analogue of poly-Euler polynomials and Arakawa-Kaneko type zeta function. (English) Zbl 07468939 J. Appl. Math. Inform. 38, No. 5-6, 611-623 (2020). MSC: 11B68 11B73 11B75 PDF BibTeX XML Cite \textit{Y. R. Kim} et al., J. Appl. Math. Inform. 38, No. 5--6, 611--623 (2020; Zbl 07468939) Full Text: DOI OpenURL
Jung, N. S. Identities involving the degenerate generalized \((p,q)\)-poly-Bernoulli numbers and polynomials. (English) Zbl 07468938 J. Appl. Math. Inform. 38, No. 5-6, 601-609 (2020). MSC: 11B65 11B68 11B73 11C08 PDF BibTeX XML Cite \textit{N. S. Jung}, J. Appl. Math. Inform. 38, No. 5--6, 601--609 (2020; Zbl 07468938) Full Text: DOI OpenURL
Aloff, Simon; Miniere, Michael A Pascal triangle type calculation for a particular infinite series. (English) Zbl 07466910 Missouri J. Math. Sci. 32, No. 1, 61-70 (2020). MSC: 11B73 11M35 PDF BibTeX XML Cite \textit{S. Aloff} and \textit{M. Miniere}, Missouri J. Math. Sci. 32, No. 1, 61--70 (2020; Zbl 07466910) Full Text: DOI Euclid OpenURL
Stewart, Seán Mark Explicit evaluation of some quadratic Euler-type sums containing double-index harmonic numbers. (English) Zbl 1475.11161 Tatra Mt. Math. Publ. 77, 73-98 (2020). MSC: 11M41 33B30 PDF BibTeX XML Cite \textit{S. M. Stewart}, Tatra Mt. Math. Publ. 77, 73--98 (2020; Zbl 1475.11161) Full Text: DOI OpenURL
Rani, N.; Reddy, P. T.; Venkateswarlu, B. Certain subclass of polylogarithm functions defined by a generalized differential operator. (English) Zbl 07417635 Bull. Transilv. Univ. Brașov, Ser. III, Math. Inform. Phys. 13(62), No. 1, 261-272 (2020). MSC: 30C45 PDF BibTeX XML Cite \textit{N. Rani} et al., Bull. Transilv. Univ. Brașov, Ser. III, Math. Inform. Phys. 13(62), No. 1, 261--272 (2020; Zbl 07417635) Full Text: DOI OpenURL
Ohno, Yasuo; Wayama, Hirotsugu Interpolation between Arakawa-Kaneko and Kaneko-Tsumura multiple zeta functions. (English) Zbl 1469.11330 Comment. Math. Univ. St. Pauli 68, 83-91 (2020). MSC: 11M32 40B05 PDF BibTeX XML Cite \textit{Y. Ohno} and \textit{H. Wayama}, Comment. Math. Univ. St. Pauli 68, 83--91 (2020; Zbl 1469.11330) OpenURL
Sofo, Anthony Integrals of polylogarithmic functions with alternating argument. (English) Zbl 1459.11177 Asian-Eur. J. Math. 13, No. 7, Article ID 2050125, 14 p. (2020). MSC: 11M41 11M32 33B15 PDF BibTeX XML Cite \textit{A. Sofo}, Asian-Eur. J. Math. 13, No. 7, Article ID 2050125, 14 p. (2020; Zbl 1459.11177) Full Text: DOI OpenURL
Vălean, Cornel Ioan On the calculation of two essential harmonic series with a weight 5 structure, involving harmonic numbers of the type \(H_{2n}\). (English) Zbl 07323540 J. Class. Anal. 16, No. 1, 1-7 (2020). MSC: 40C10 26A36 33B30 65B10 40G10 11M06 PDF BibTeX XML Cite \textit{C. I. Vălean}, J. Class. Anal. 16, No. 1, 1--7 (2020; Zbl 07323540) Full Text: DOI OpenURL
Popade, Santosh; Ingle, Rajkumar; Reddy, P. Thirupathi Subclass of meromorphic functions with positive coefficients involving polylogarithm function. (English) Zbl 1474.30106 Jñānābha 50, No. 1, 134-143 (2020). MSC: 30C45 PDF BibTeX XML Cite \textit{S. Popade} et al., Jñānābha 50, No. 1, 134--143 (2020; Zbl 1474.30106) Full Text: Link OpenURL
Li, Zhonghua; Xu, Ce On \(q\)-analogues of quadratic Euler sums. (English) Zbl 1474.05025 Period. Math. Hung. 81, No. 1, 1-19 (2020). Reviewer: B. Z. Moroz (Bonn) MSC: 05A30 65B10 33D05 11M99 11M06 11M32 PDF BibTeX XML Cite \textit{Z. Li} and \textit{C. Xu}, Period. Math. Hung. 81, No. 1, 1--19 (2020; Zbl 1474.05025) Full Text: DOI arXiv OpenURL
Sofo, A. Identities in the spirit of Euler. (English) Zbl 1464.11091 Extr. Math. 35, No. 1, 21-34 (2020). MSC: 11M32 33B15 11M06 PDF BibTeX XML Cite \textit{A. Sofo}, Extr. Math. 35, No. 1, 21--34 (2020; Zbl 1464.11091) Full Text: DOI OpenURL
Swapna, G.; Venkateswarlu, B.; Thirupathi Reddy, P. Notes on meromorphic functions with positive coefficients involving polylogarithm function. (English) Zbl 1451.30037 Izv. Irkutsk. Gos. Univ., Ser. Mat. 33, 51-63 (2020). MSC: 30C45 PDF BibTeX XML Cite \textit{G. Swapna} et al., Izv. Irkutsk. Gos. Univ., Ser. Mat. 33, 51--63 (2020; Zbl 1451.30037) Full Text: DOI Link OpenURL
Kaneko, Masanobu; Tsumura, Hirofumi 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). MSC: 11M32 11M99 11B68 PDF BibTeX XML Cite \textit{M. Kaneko} and \textit{H. Tsumura}, Adv. Stud. Pure Math. 84, 181--204 (2020; Zbl 1476.11120) Full Text: DOI arXiv Euclid OpenURL
Komatsu, T.; Ramírez, J. L.; Sirvent, V. F. 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). MSC: 11B68 05A15 05A19 11B73 PDF BibTeX XML Cite \textit{T. Komatsu} et al., Ukr. Math. J. 72, No. 4, 536--554 (2020; Zbl 1446.11037) Full Text: DOI arXiv OpenURL
Zhang, Laiping; Ji, Wanhui The series of reciprocal of binomial coefficients of denominator containing square factors. (Chinese. English summary) Zbl 1463.11060 Math. Pract. Theory 50, No. 5, 205-219 (2020). MSC: 11B65 05A10 PDF BibTeX XML Cite \textit{L. Zhang} and \textit{W. Ji}, Math. Pract. Theory 50, No. 5, 205--219 (2020; Zbl 1463.11060) OpenURL
Corwin, David; Dan-Cohen, Ishai The polylog quotient and the Goncharov quotient in computational Chabauty-Kim theory. I. (English) Zbl 1453.11088 Int. J. Number Theory 16, No. 8, 1859-1905 (2020). MSC: 11G55 11S80 11D99 PDF BibTeX XML Cite \textit{D. Corwin} and \textit{I. Dan-Cohen}, Int. J. Number Theory 16, No. 8, 1859--1905 (2020; Zbl 1453.11088) Full Text: DOI arXiv OpenURL
Jung, N. S. A note on the generalized Bernoulli polynomials with \((p, q)\)-polylogarithm function. (English) Zbl 1463.11066 J. Appl. Math. Inform. 38, No. 1-2, 145-157 (2020). MSC: 11B68 11B73 11B75 PDF BibTeX XML Cite \textit{N. S. Jung}, J. Appl. Math. Inform. 38, No. 1--2, 145--157 (2020; Zbl 1463.11066) Full Text: DOI OpenURL
Kang, J. Y. Some explicit properties of \((p, q)\)-analogue Euler sum using \((p, q)\)-special polynomials. (English) Zbl 07242814 J. Appl. Math. Inform. 38, No. 1-2, 37-56 (2020). MSC: 11B68 05A30 11M06 11B83 33D05 65B10 PDF BibTeX XML Cite \textit{J. Y. Kang}, J. Appl. Math. Inform. 38, No. 1--2, 37--56 (2020; Zbl 07242814) Full Text: DOI OpenURL
Kurt, Burak Notes on the parametric poly-tangent polynomials. (English) Zbl 1463.11069 J. Appl. Math. Inform. 38, No. 3-4, 301-309 (2020). MSC: 11B68 11B83 11S40 11S80 PDF BibTeX XML Cite \textit{B. Kurt}, J. Appl. Math. Inform. 38, No. 3--4, 301--309 (2020; Zbl 1463.11069) Full Text: DOI OpenURL
Si, Xin; Xu, Ce Evaluations of some quadratic Euler sums. (English) Zbl 07233003 Bull. Korean Math. Soc. 57, No. 2, 489-508 (2020). MSC: 65Dxx 33Bxx 33Fxx 11Mxx PDF BibTeX XML Cite \textit{X. Si} and \textit{C. Xu}, Bull. Korean Math. Soc. 57, No. 2, 489--508 (2020; Zbl 07233003) Full Text: DOI arXiv OpenURL
Todorov, Ivan Perturbative quantum field theory meets number theory. (English) Zbl 1444.81029 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, 1-28 (2020). MSC: 81T15 81T18 14C30 11G55 11M32 16T05 16E45 PDF BibTeX XML Cite \textit{I. Todorov}, Springer Proc. Math. Stat. 314, 1--28 (2020; Zbl 1444.81029) Full Text: DOI OpenURL
Kusunoki, Yusuke; Nakamura, Yayoi; Sasaki, Yoshitaka A functional relation for analytic continuation of a multiple polylogarithm. (English) Zbl 1466.11060 Acta Arith. 195, No. 2, 131-148 (2020). Reviewer: Nils Matthes (Oxford) MSC: 11M32 11G55 33B15 30B40 PDF BibTeX XML Cite \textit{Y. Kusunoki} et al., Acta Arith. 195, No. 2, 131--148 (2020; Zbl 1466.11060) Full Text: DOI OpenURL
Dil, Ayhan; Boyadzhiev, Khristo N.; Aliev, Ilham A. On values of the Riemann zeta function at positive integers. (English) Zbl 1472.11231 Lith. Math. J. 60, No. 1, 9-24 (2020). Reviewer: Ramdin Mawia (Kolkata) MSC: 11M06 11B68 33E20 PDF BibTeX XML Cite \textit{A. Dil} et al., Lith. Math. J. 60, No. 1, 9--24 (2020; Zbl 1472.11231) Full Text: DOI OpenURL
Sprang, Johannes The algebraic de Rham realization of the elliptic polylogarithm via the Poincaré bundle. (English) Zbl 1469.11225 Algebra Number Theory 14, No. 3, 551-591 (2020). MSC: 11G55 14H52 PDF BibTeX XML Cite \textit{J. Sprang}, Algebra Number Theory 14, No. 3, 551--591 (2020; Zbl 1469.11225) Full Text: DOI arXiv OpenURL
Kaneko, Masanobu; Pallewatta, Maneka; Tsumura, Hirofumi On polycosecant numbers. (English) Zbl 1476.11040 J. Integer Seq. 23, No. 6, Article 20.6.4, 17 p. (2020). MSC: 11B68 11M32 11M99 PDF BibTeX XML Cite \textit{M. Kaneko} et al., J. Integer Seq. 23, No. 6, Article 20.6.4, 17 p. (2020; Zbl 1476.11040) Full Text: arXiv Link OpenURL
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 OpenURL
Xu, Ce Some results on multiple polylogarithm functions and alternating multiple zeta values. (English) Zbl 1468.11179 J. Number Theory 214, 177-201 (2020). MSC: 11M32 11M41 PDF BibTeX XML Cite \textit{C. Xu}, J. Number Theory 214, 177--201 (2020; Zbl 1468.11179) Full Text: DOI OpenURL
Hain, Richard; Matsumoto, Makoto Universal mixed elliptic motives. (English) Zbl 07202790 J. Inst. Math. Jussieu 19, No. 3, 663-766 (2020). MSC: 14F42 14F35 14H52 11G55 14C30 19E20 PDF BibTeX XML Cite \textit{R. Hain} and \textit{M. Matsumoto}, J. Inst. Math. Jussieu 19, No. 3, 663--766 (2020; Zbl 07202790) Full Text: DOI arXiv OpenURL
Ono, Masataka New functional equations of finite multiple polylogarithms. (English) Zbl 1441.11221 Tohoku Math. J. (2) 72, No. 1, 149-157 (2020). Reviewer: Jiangtao Li (Peking) MSC: 11M32 PDF BibTeX XML Cite \textit{M. Ono}, Tohoku Math. J. (2) 72, No. 1, 149--157 (2020; Zbl 1441.11221) Full Text: DOI arXiv Euclid OpenURL
Jha, Sumit Kumar Two new explicit formulas for the even-indexed Bernoulli numbers. (English) Zbl 1434.11061 J. Integer Seq. 23, No. 2, Article 20.2.6, 6 p. (2020). MSC: 11B68 PDF BibTeX XML Cite \textit{S. K. Jha}, J. Integer Seq. 23, No. 2, Article 20.2.6, 6 p. (2020; Zbl 1434.11061) Full Text: Link OpenURL
Xu, Ce Evaluations of Euler-type sums of weight \(\le 5\). (English) Zbl 1432.11130 Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 847-877 (2020). MSC: 11M41 PDF BibTeX XML Cite \textit{C. Xu}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 847--877 (2020; Zbl 1432.11130) Full Text: DOI arXiv OpenURL
Samart, Detchat On a noncritical symmetric square \(L\)-value of the congruent number elliptic curves. (English) Zbl 1461.11100 Bull. Aust. Math. Soc. 101, No. 1, 13-22 (2020). MSC: 11G40 11G55 PDF BibTeX XML Cite \textit{D. Samart}, Bull. Aust. Math. Soc. 101, No. 1, 13--22 (2020; Zbl 1461.11100) Full Text: DOI arXiv OpenURL
Corcino, Roberto B. 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 PDF BibTeX XML Cite \textit{R. B. Corcino}, Stud. Syst. Decis. Control 177, 679--721 (2020; Zbl 1443.11025) Full Text: DOI OpenURL
Siddiqui, Raziuddin Infinitesimal and tangent to polylogarithmic complexes for higher weight. (English) Zbl 07510918 AIMS Math. 4, No. 4, 1248-1257 (2019). MSC: 19E15 11G55 14F42 33B30 PDF BibTeX XML Cite \textit{R. Siddiqui}, AIMS Math. 4, No. 4, 1248--1257 (2019; Zbl 07510918) Full Text: DOI OpenURL
Hoang Ngoc Minh, Vincel On the solutions of the universal differential equation with three regular singularities (on solutions of \(KZ_3)\). (English) Zbl 07469108 Confluentes Math. 11, No. 2, 25-64 (2019). MSC: 05E16 11M32 16T05 20F10 33F10 44A20 PDF BibTeX XML Cite \textit{V. Hoang Ngoc Minh}, Confluentes Math. 11, No. 2, 25--64 (2019; Zbl 07469108) Full Text: DOI OpenURL
Khan, Waseem A.; Khan, Idrees A.; Ali, Musharraf A note on \(q\)-analogue of Hermite-poly-Bernoulli numbers and polynomials. (English) Zbl 1465.11072 Math. Morav. 23, No. 2, 1-16 (2019). MSC: 11B68 11B73 33C45 PDF BibTeX XML Cite \textit{W. A. Khan} et al., Math. Morav. 23, No. 2, 1--16 (2019; Zbl 1465.11072) Full Text: DOI OpenURL
Khan, Waseem A.; Srivastava, Divesh A study of poly-Bernoulli polynomials associated with Hermite polynomials with \(q\)-parameter. (English) Zbl 1460.11027 Honam Math. J. 41, No. 4, 781-798 (2019). Reviewer: Uğur Duran (Iskenderun) MSC: 11B68 11B73 11B75 33C10 33C45 PDF BibTeX XML Cite \textit{W. A. Khan} and \textit{D. Srivastava}, Honam Math. J. 41, No. 4, 781--798 (2019; Zbl 1460.11027) Full Text: DOI OpenURL
Nimbran, Amrik Singh; Sofo, Anthony New interesting Euler sums. (English) Zbl 1449.11087 J. Class. Anal. 15, No. 1, 9-22 (2019). MSC: 11M06 11M32 11Y60 33B15 40A25 40B05 PDF BibTeX XML Cite \textit{A. S. Nimbran} and \textit{A. Sofo}, J. Class. Anal. 15, No. 1, 9--22 (2019; Zbl 1449.11087) Full Text: DOI OpenURL
Xu, Ce Evaluations of nonlinear Euler sums of weight ten. (English) Zbl 1428.11149 Appl. Math. Comput. 346, 594-611 (2019). MSC: 11M06 11M32 11M41 40A05 PDF BibTeX XML Cite \textit{C. Xu}, Appl. Math. Comput. 346, 594--611 (2019; Zbl 1428.11149) Full Text: DOI arXiv OpenURL
Jha, Sumit Kumar A new explicit formula for Bernoulli numbers involving the Euler number. (English) Zbl 1447.11036 Mosc. J. Comb. Number Theory 8, No. 4, 385-387 (2019). MSC: 11B68 PDF BibTeX XML Cite \textit{S. K. Jha}, Mosc. J. Comb. Number Theory 8, No. 4, 385--387 (2019; Zbl 1447.11036) Full Text: DOI OpenURL
Sofo, Anthony General order Euler sums with rational argument. (English) Zbl 1439.11213 Integral Transforms Spec. Funct. 30, No. 12, 978-991 (2019). MSC: 11M06 11M32 33B15 PDF BibTeX XML Cite \textit{A. Sofo}, Integral Transforms Spec. Funct. 30, No. 12, 978--991 (2019; Zbl 1439.11213) Full Text: DOI OpenURL
Gerhold, Stefan; Tomovski, Živorad Asymptotic expansion of Mathieu power series and trigonometric Mathieu series. (English) Zbl 1450.30006 J. Math. Anal. Appl. 479, No. 2, 1882-1892 (2019). MSC: 30B10 PDF BibTeX XML Cite \textit{S. Gerhold} and \textit{Ž. Tomovski}, J. Math. Anal. Appl. 479, No. 2, 1882--1892 (2019; Zbl 1450.30006) Full Text: DOI arXiv OpenURL
Sato, Nobuo An enhancement of Zagier’s polylogarithm conjecture. (English) Zbl 1472.11202 Trans. Am. Math. Soc. 372, No. 4, 2537-2588 (2019). MSC: 11G55 11M32 11R42 PDF BibTeX XML Cite \textit{N. Sato}, Trans. Am. Math. Soc. 372, No. 4, 2537--2588 (2019; Zbl 1472.11202) Full Text: DOI OpenURL
Masjed-Jamei, Mohammad; Moalemi, Zahra; Koepf, Wolfram; Srivastava, H. M. An extension of the Taylor series expansion by using the Bell polynomials. (English) Zbl 1423.41046 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 1445-1461 (2019). MSC: 41A58 33C45 PDF BibTeX XML Cite \textit{M. Masjed-Jamei} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 1445--1461 (2019; Zbl 1423.41046) Full Text: DOI OpenURL
Avitabile, Marina; Mattarei, Sandro A generalized truncated logarithm. (English) Zbl 1418.33004 Aequationes Math. 93, No. 4, 711-734 (2019). MSC: 33E50 39B52 05A10 33C45 PDF BibTeX XML Cite \textit{M. Avitabile} and \textit{S. Mattarei}, Aequationes Math. 93, No. 4, 711--734 (2019; Zbl 1418.33004) Full Text: DOI arXiv Link OpenURL
Sprang, Johannes The syntomic realization of the elliptic polylogarithm via the Poincaré bundle. (English) Zbl 1470.11190 Doc. Math. 24, 1099-1134 (2019). MSC: 11G55 14H52 14F30 11F33 PDF BibTeX XML Cite \textit{J. Sprang}, Doc. Math. 24, 1099--1134 (2019; Zbl 1470.11190) Full Text: DOI arXiv OpenURL
Kim, D. S.; Kim, T. A note on polyexponential and unipoly functions. (English) Zbl 1470.33002 Russ. J. Math. Phys. 26, No. 1, 40-49 (2019). MSC: 33B99 11B68 PDF BibTeX XML Cite \textit{D. S. Kim} and \textit{T. Kim}, Russ. J. Math. Phys. 26, No. 1, 40--49 (2019; Zbl 1470.33002) Full Text: DOI OpenURL
Li, Aijuan; Qin, Huizeng The representation of the generalized linear Euler sums with parameters. (English) Zbl 1439.11208 Integral Transforms Spec. Funct. 30, No. 8, 656-681 (2019). MSC: 11M06 33E20 40A05 PDF BibTeX XML Cite \textit{A. Li} and \textit{H. Qin}, Integral Transforms Spec. Funct. 30, No. 8, 656--681 (2019; Zbl 1439.11208) Full Text: DOI OpenURL
Sofo, Anthony Cubic alternating harmonic number sums. (English) Zbl 1414.05046 Aust. J. Math. Anal. Appl. 16, No. 1, Article No. 14, 14 p. (2019). MSC: 05A19 33C20 11M06 11B83 PDF BibTeX XML Cite \textit{A. Sofo}, Aust. J. Math. Anal. Appl. 16, No. 1, Article No. 14, 14 p. (2019; Zbl 1414.05046) Full Text: Link OpenURL
Sakugawa, Kenji On modified finite polylogarithms. (English) Zbl 1444.11147 J. Number Theory 201, 190-205 (2019). MSC: 11G55 PDF BibTeX XML Cite \textit{K. Sakugawa}, J. Number Theory 201, 190--205 (2019; Zbl 1444.11147) Full Text: DOI OpenURL
Kucukoğlu, Irem; Simsek, Yilmaz; Srivastava, H. M. A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials. (English) Zbl 1446.11038 Quaest. Math. 42, No. 4, 465-478 (2019). MSC: 11B68 11S40 11S80 33E20 26C05 30B40 44A20 PDF BibTeX XML Cite \textit{I. Kucukoğlu} et al., Quaest. Math. 42, No. 4, 465--478 (2019; Zbl 1446.11038) Full Text: DOI OpenURL
Kings, Guido; Scarponi, Danny The Maillot-Rössler current and the polylogarithm on abelian schemes. (English) Zbl 1452.11077 Algebra Number Theory 13, No. 2, 501-511 (2019). MSC: 11G55 14G40 14C35 PDF BibTeX XML Cite \textit{G. Kings} and \textit{D. Scarponi}, Algebra Number Theory 13, No. 2, 501--511 (2019; Zbl 1452.11077) Full Text: DOI arXiv OpenURL
Uzun, Banu Ünalmış On the fractional sums of some special functions. (English) Zbl 1468.11181 Result. Math. 74, No. 1, Paper No. 50, 11 p. (2019). MSC: 11M35 33B15 11M06 PDF BibTeX XML Cite \textit{B. Ü. Uzun}, Result. Math. 74, No. 1, Paper No. 50, 11 p. (2019; Zbl 1468.11181) Full Text: DOI OpenURL
Li, Aijuan; Qin, Huizeng The representation of Euler sums with parameters. (English) Zbl 1439.11207 Integral Transforms Spec. Funct. 30, No. 1, 55-82 (2019). MSC: 11M06 33E20 40A05 PDF BibTeX XML Cite \textit{A. Li} and \textit{H. Qin}, Integral Transforms Spec. Funct. 30, No. 1, 55--82 (2019; Zbl 1439.11207) Full Text: DOI OpenURL
Pauzi, M. N. M.; Darus, M.; Siregar, S. Second Hankel determinant for a class defined by modified Mittag-Leffler with generalized polylogarithm functions. (English) Zbl 1427.30027 J. Math. Comput. Sci., JMCS 18, No. 4, 453-459 (2018). MSC: 30C45 30C50 33B30 15A15 PDF BibTeX XML Cite \textit{M. N. M. Pauzi} et al., J. Math. Comput. Sci., JMCS 18, No. 4, 453--459 (2018; Zbl 1427.30027) Full Text: DOI OpenURL
Paşol, Vicenţiu; Zudilin, Wadim A study of elliptic gamma function and allies. (English) Zbl 1440.11063 Res. Math. Sci. 5, No. 4, Paper No. 39, 11 p. (2018). MSC: 11F27 11G55 PDF BibTeX XML Cite \textit{V. Paşol} and \textit{W. Zudilin}, Res. Math. Sci. 5, No. 4, Paper No. 39, 11 p. (2018; Zbl 1440.11063) Full Text: DOI arXiv OpenURL
Sofo, Anthony Integrals of polylogarithmic functions with negative argument. (English) Zbl 1441.33003 Acta Univ. Sapientiae, Math. 10, No. 2, 347-367 (2018). MSC: 33B15 11M06 11M32 PDF BibTeX XML Cite \textit{A. Sofo}, Acta Univ. Sapientiae, Math. 10, No. 2, 347--367 (2018; Zbl 1441.33003) Full Text: DOI OpenURL
Akgül, Arzu Identification of initial Taylor-Maclaurin coefficients for generalized subclasses of bi-univalent functions. (English) Zbl 1412.30016 Sahand Commun. Math. Anal. 11, No. 1, 133-143 (2018). MSC: 30C45 PDF BibTeX XML Cite \textit{A. Akgül}, Sahand Commun. Math. Anal. 11, No. 1, 133--143 (2018; Zbl 1412.30016) Full Text: DOI OpenURL
Khadeejah, Rasheed Alhindi; Maslina, Darus Fekete-Szegö inequalities for the polylogarithm function and fractional derivative operator. (English) Zbl 1424.30004 Southeast Asian Bull. Math. 42, No. 3, 307-314 (2018). MSC: 30A10 30C45 PDF BibTeX XML Cite \textit{R. A. Khadeejah} and \textit{D. Maslina}, Southeast Asian Bull. Math. 42, No. 3, 307--314 (2018; Zbl 1424.30004) OpenURL
Si, Xin Some results on \(q\)-harmonic number sums. (English) Zbl 1445.05019 Adv. Difference Equ. 2018, Paper No. 24, 16 p. (2018). MSC: 05A30 11B65 PDF BibTeX XML Cite \textit{X. Si}, Adv. Difference Equ. 2018, Paper No. 24, 16 p. (2018; Zbl 1445.05019) Full Text: DOI OpenURL
Jung, N. S.; Ryoo, C. S. A research on the generalized poly-Bernoulli polynomials with variable \(a\). (English) Zbl 1442.11041 J. Appl. Math. Inform. 36, No. 5-6, 475-489 (2018). MSC: 11B68 11B73 11B75 PDF BibTeX XML Cite \textit{N. S. Jung} and \textit{C. S. Ryoo}, J. Appl. Math. Inform. 36, No. 5--6, 475--489 (2018; Zbl 1442.11041) Full Text: DOI OpenURL
Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan Hermite based poly-Bernoulli polynomials with a \(q\)-parameter. (English) Zbl 1423.11050 Adv. Stud. Contemp. Math., Kyungshang 28, No. 2, 285-296 (2018). MSC: 11B68 11B73 33C45 05A30 PDF BibTeX XML Cite \textit{U. Duran} et al., Adv. Stud. Contemp. Math., Kyungshang 28, No. 2, 285--296 (2018; Zbl 1423.11050) Full Text: DOI OpenURL
Schmidt, Maxie D. Zeta series generating function transformations related to generalized Stirling numbers and partial sums of the Hurwitz zeta function. (English) Zbl 1408.11015 Online J. Anal. Comb. 13, Article 3, 31 p. (2018). MSC: 11B75 05A15 11B73 11M35 11M41 PDF BibTeX XML Cite \textit{M. D. Schmidt}, Online J. Anal. Comb. 13, Article 3, 31 p. (2018; Zbl 1408.11015) Full Text: arXiv Link OpenURL
Beilinson, Alexander; Kings, Guido; Levin, Andrey Topological polylogarithms and \(p\)-adic interpolation of \(L\)-values of totally real fields. (English) Zbl 1448.11122 Math. Ann. 371, No. 3-4, 1449-1495 (2018). MSC: 11G55 11R42 11F41 11F67 PDF BibTeX XML Cite \textit{A. Beilinson} et al., Math. Ann. 371, No. 3--4, 1449--1495 (2018; Zbl 1448.11122) Full Text: DOI arXiv OpenURL
Xu, Ce Some evaluation of cubic Euler sums. (English) Zbl 1405.11111 J. Math. Anal. Appl. 466, No. 1, 789-805 (2018). MSC: 11M32 PDF BibTeX XML Cite \textit{C. Xu}, J. Math. Anal. Appl. 466, No. 1, 789--805 (2018; Zbl 1405.11111) Full Text: DOI arXiv OpenURL
Sofo, Anthony Evaluation of integrals with hypergeometric and logarithmic functions. (English) Zbl 1391.05021 Open Math. 16, 63-74 (2018). MSC: 05A10 05A19 33C20 11B65 11B83 11M06 PDF BibTeX XML Cite \textit{A. Sofo}, Open Math. 16, 63--74 (2018; Zbl 1391.05021) Full Text: DOI OpenURL
Mező, István A family of polylog-trigonometric integrals. (English) Zbl 1390.33007 Ramanujan J. 46, No. 1, 161-171 (2018). MSC: 33B15 33B30 33C45 PDF BibTeX XML Cite \textit{I. Mező}, Ramanujan J. 46, No. 1, 161--171 (2018; Zbl 1390.33007) Full Text: DOI OpenURL
Sofo, Anthony Alternating cubic Euler sums with binomial squared terms. (English) Zbl 1387.05007 Int. J. Number Theory 14, No. 5, 1357-1374 (2018). MSC: 05A10 05A19 33C20 PDF BibTeX XML Cite \textit{A. Sofo}, Int. J. Number Theory 14, No. 5, 1357--1374 (2018; Zbl 1387.05007) Full Text: DOI OpenURL
Jung, N. S.; Ryoo, C. S. Symmetric identities for degenerate \(q\)-poly-Bernoulli numbers and polynomials. (English) Zbl 1390.11048 J. Appl. Math. Inform. 36, No. 1-2, 29-38 (2018). MSC: 11B68 11B73 11B75 PDF BibTeX XML Cite \textit{N. S. Jung} and \textit{C. S. Ryoo}, J. Appl. Math. Inform. 36, No. 1--2, 29--38 (2018; Zbl 1390.11048) Full Text: DOI OpenURL
Alkan, Emre; Göral, Haydar Structural properties of Dirichlet series with harmonic coefficients. (English) Zbl 1420.11112 Ramanujan J. 45, No. 2, 569-600 (2018). MSC: 11M06 11M41 30B50 30D05 33B10 PDF BibTeX XML Cite \textit{E. Alkan} and \textit{H. Göral}, Ramanujan J. 45, No. 2, 569--600 (2018; Zbl 1420.11112) Full Text: DOI OpenURL
Borwein, Jonathan M.; Dilcher, Karl Derivatives and fast evaluation of the Tornheim zeta function. (English) Zbl 1433.11106 Ramanujan J. 45, No. 2, 413-432 (2018). MSC: 11M41 33B20 33B30 PDF BibTeX XML Cite \textit{J. M. Borwein} and \textit{K. Dilcher}, Ramanujan J. 45, No. 2, 413--432 (2018; Zbl 1433.11106) Full Text: DOI OpenURL
Rebenich, Niko; Gulliver, T. Aaron; Neville, Stephen; Speidel, Ulrich An analog of the prime number theorem for finite fields via truncated polylogarithm expansions. (English) Zbl 1377.05011 Math. Comput. 87, No. 310, 855-877 (2018). MSC: 05A16 11T06 11G55 11M35 11Y35 40A05 PDF BibTeX XML Cite \textit{N. Rebenich} et al., Math. Comput. 87, No. 310, 855--877 (2018; Zbl 1377.05011) Full Text: DOI OpenURL
Dunn, Alexander; Robles, Nicolas Polynomial partition asymptotics. (English) Zbl 1440.11193 J. Math. Anal. Appl. 459, No. 1, 359-384 (2018). MSC: 11P82 11P55 PDF BibTeX XML Cite \textit{A. Dunn} and \textit{N. Robles}, J. Math. Anal. Appl. 459, No. 1, 359--384 (2018; Zbl 1440.11193) Full Text: DOI arXiv OpenURL
Xu, Ce Identities for the shifted harmonic numbers and binomial coefficients. (English) Zbl 07459998 Filomat 31, No. 19, 6071-6086 (2017). MSC: 05A10 05A19 11B65 11B83 11M06 33B15 33D60 33C20 PDF BibTeX XML Cite \textit{C. Xu}, Filomat 31, No. 19, 6071--6086 (2017; Zbl 07459998) Full Text: DOI arXiv OpenURL
Hwang, K. W.; Nam, B. R.; Jung, N. S. A note on \(q\)-analogue of poly-Bernoulli numbers and polynomials. (English) Zbl 1402.11035 J. Appl. Math. Inform. 35, No. 5-6, 611-621 (2017). MSC: 11B68 11B73 11B75 PDF BibTeX XML Cite \textit{K. W. Hwang} et al., J. Appl. Math. Inform. 35, No. 5--6, 611--621 (2017; Zbl 1402.11035) Full Text: DOI OpenURL
Furusho, Hidekazu; Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Desingularization of multiple zeta-functions of generalized Hurwitz-Lerch type and evaluation of \(p\)-adic multiple \(L\)-functions at arbitrary integers. (English) Zbl 1421.11067 RIMS Kôkyûroku Bessatsu B68, 27-66 (2017). MSC: 11M32 11S40 11G55 PDF BibTeX XML Cite \textit{H. Furusho} et al., RIMS Kôkyûroku Bessatsu B68, 27--66 (2017; Zbl 1421.11067) Full Text: arXiv OpenURL
Nakamura, Hiroaki; Sakugawa, Kenji; Wojtkowiak, Zdzisław Polylogarithmic analogue of the Coleman-Ihara formula. II. (English) Zbl 1415.11087 RIMS Kôkyûroku Bessatsu B64, 33-54 (2017). MSC: 11G35 14F30 14H30 PDF BibTeX XML Cite \textit{H. Nakamura} et al., RIMS Kôkyûroku Bessatsu B64, 33--54 (2017; Zbl 1415.11087) OpenURL
Hirata-Kohno, Noriko; Ito, Masaru; Washio, Yusuke A criterion for the linear independence of polylogarithms over a number field. (English) Zbl 1430.11098 RIMS Kôkyûroku Bessatsu B64, 3-18 (2017). MSC: 11J72 PDF BibTeX XML Cite \textit{N. Hirata-Kohno} et al., RIMS Kôkyûroku Bessatsu B64, 3--18 (2017; Zbl 1430.11098) OpenURL
He, Yuan; Zhang, Jialing New recurrence formulae for the polylogarithm function. (English) Zbl 1399.33023 J. Math., Wuhan Univ. 37, No. 6, 1154-1160 (2017). MSC: 33E20 PDF BibTeX XML Cite \textit{Y. He} and \textit{J. Zhang}, J. Math., Wuhan Univ. 37, No. 6, 1154--1160 (2017; Zbl 1399.33023) Full Text: DOI OpenURL
Khan, Waseem Ahmad; Ghayasuddin, Mohd; Choi, Junesang; Khan, Nabiullah The \(3\)-variable Hermite poly-Bernoulli polynomials of the second kind. (English) Zbl 1386.33014 Nonlinear Funct. Anal. Appl. 22, No. 5, 1013-1027 (2017). MSC: 33C45 11B73 11B68 PDF BibTeX XML Cite \textit{W. A. Khan} et al., Nonlinear Funct. Anal. Appl. 22, No. 5, 1013--1027 (2017; Zbl 1386.33014) OpenURL
Komatsu, Takao; Ramírez, José L.; Sirvent, Víctor F. Multi-poly-Bernoulli numbers and polynomials with a \(q\) parameter. (English) Zbl 1420.11046 Lith. Math. J. 57, No. 4, 490-505 (2017). MSC: 11B68 05A19 05A15 PDF BibTeX XML Cite \textit{T. Komatsu} et al., Lith. Math. J. 57, No. 4, 490--505 (2017; Zbl 1420.11046) Full Text: DOI OpenURL
Calcaneo-Roldan, C.; Salcido, O.; Santana, D. A semi-analytical approach to black body radiation. (English) Zbl 1386.81008 Eur. J. Phys. 38, No. 5, Article ID 055807, 10 p. (2017). MSC: 81P05 81V80 11G55 82B30 PDF BibTeX XML Cite \textit{C. Calcaneo-Roldan} et al., Eur. J. Phys. 38, No. 5, Article ID 055807, 10 p. (2017; Zbl 1386.81008) Full Text: DOI arXiv OpenURL