Khan, Waseem A.; Kamarujjama, M. A note on type 2 degenerate Daehee polynomials and numbers of the second kind. (English) Zbl 07528029 South East Asian J. Math. Math. Sci. 18, No. 1, 11-26 (2022). MSC: 11B68 11B83 11B73 PDF BibTeX XML Cite \textit{W. A. Khan} and \textit{M. Kamarujjama}, South East Asian J. Math. Math. Sci. 18, No. 1, 11--26 (2022; Zbl 07528029) Full Text: Link OpenURL
Kellner, Bernd C. Shifted sums of the Bernoulli numbers, reciprocity, and denominators. (English) Zbl 07527615 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 07527615) Full Text: Link OpenURL
Kargın, Levent; Çay, Emre Semiorthogonality of geometric polynomials. (English) Zbl 07524868 Mediterr. J. Math. 19, No. 3, Paper No. 129, 9 p. (2022). MSC: 11B83 11B68 33C47 PDF BibTeX XML Cite \textit{L. Kargın} and \textit{E. Çay}, Mediterr. J. Math. 19, No. 3, Paper No. 129, 9 p. (2022; Zbl 07524868) Full Text: DOI OpenURL
Khattou, Chouaib; Bayad, Abdelmejid; Hernane, Mohand Ouamar New results on Bernoulli numbers of higher order. (English) Zbl 07524617 Rocky Mt. J. Math. 52, No. 1, 153-170 (2022). MSC: 11B68 11B73 11M36 PDF BibTeX XML Cite \textit{C. Khattou} et al., Rocky Mt. J. Math. 52, No. 1, 153--170 (2022; Zbl 07524617) Full Text: DOI Link OpenURL
Eweis, S. Z. H.; Mansour, Z. S. I. Generalized \(q\)-Bernoulli polynomials generated by Jackson \(q\)-Bessel functions. (English) Zbl 07524271 Result. Math. 77, No. 3, Paper No. 132, 37 p. (2022). Reviewer: Thomas Ernst (Uppsala) MSC: 05A30 11B68 30E15 32A27 PDF BibTeX XML Cite \textit{S. Z. H. Eweis} and \textit{Z. S. I. Mansour}, Result. Math. 77, No. 3, Paper No. 132, 37 p. (2022; Zbl 07524271) Full Text: DOI OpenURL
Pintér, Ákos; Rakaczki, Csaba Indecomposability of linear combinations of Bernoulli polynomials. (English) Zbl 07523950 Publ. Math. 100, No. 3-4, 487-494 (2022). MSC: 11B83 11B68 PDF BibTeX XML Cite \textit{Á. Pintér} and \textit{C. Rakaczki}, Publ. Math. 100, No. 3--4, 487--494 (2022; Zbl 07523950) Full Text: DOI OpenURL
Kargin, Levent; Cenkci, Mehmet; Dil, Ayhan; Can, Mümün Generalized harmonic numbers via poly-Bernoulli polynomials. (English) Zbl 07523941 Publ. Math. 100, No. 3-4, 365-386 (2022). MSC: 11B75 11B68 11B73 11A07 PDF BibTeX XML Cite \textit{L. Kargin} et al., Publ. Math. 100, No. 3--4, 365--386 (2022; Zbl 07523941) Full Text: DOI OpenURL
Pathan, M. A.; Khan, Waseem A. On \(\lambda \)-Changhee-Hermite polynomials. (English) Zbl 07523596 Analysis, München 42, No. 2, 57-69 (2022). MSC: 11B83 33C45 05A30 05A40 11B68 11S80 PDF BibTeX XML Cite \textit{M. A. Pathan} and \textit{W. A. Khan}, Analysis, München 42, No. 2, 57--69 (2022; Zbl 07523596) Full Text: DOI OpenURL
Kim, Taekyun; Kim, Dae San; Lee, Hyunseok; Kwon, Jongkyum Representations by degenerate Daehee polynomials. (English) Zbl 07517549 Open Math. 20, 179-194 (2022). MSC: 05A19 05A40 11B68 11B83 PDF BibTeX XML Cite \textit{T. Kim} et al., Open Math. 20, 179--194 (2022; Zbl 07517549) Full Text: DOI OpenURL
Mao, Guo-Shuai; Li, Danrui Proof of some conjectural congruences modulo \(p^3\). (English) Zbl 07513893 J. Difference Equ. Appl. 28, No. 4, 496-509 (2022). MSC: 11A07 05A10 11B65 11B68 PDF BibTeX XML Cite \textit{G.-S. Mao} and \textit{D. Li}, J. Difference Equ. Appl. 28, No. 4, 496--509 (2022; Zbl 07513893) Full Text: DOI OpenURL
Lin, Zhicong; Ma, Shi-Mei; Wang, David G. L.; Wang, Liuquan Positivity and divisibility of enumerators of alternating descents. (English) Zbl 07510932 Ramanujan J. 58, No. 1, 203-228 (2022). MSC: 05A05 05A15 05A19 11B68 60F05 PDF BibTeX XML Cite \textit{Z. Lin} et al., Ramanujan J. 58, No. 1, 203--228 (2022; Zbl 07510932) Full Text: DOI OpenURL
Bényi, Beáta; Ramírez, José L. On \(q\)-poly-Bernoulli numbers arising from combinatorial interpretations. (English) Zbl 07508342 Aequationes Math. 96, No. 2, 465-487 (2022). MSC: 11B68 05A19 PDF BibTeX XML Cite \textit{B. Bényi} and \textit{J. L. Ramírez}, Aequationes Math. 96, No. 2, 465--487 (2022; Zbl 07508342) Full Text: DOI OpenURL
Belbachir, Hacène Ordinary generating function for a class of Appell polynomials and Stirling symmetric polynomials. (English) Zbl 07506497 Indian J. Pure Appl. Math. 53, No. 1, 138-143 (2022). MSC: 11B68 05A15 11B83 11C08 05A19 40G99 PDF BibTeX XML Cite \textit{H. Belbachir}, Indian J. Pure Appl. Math. 53, No. 1, 138--143 (2022; Zbl 07506497) Full Text: DOI OpenURL
Lin, Zhicong; Xu, Chao; Zhao, Tongyuan On the \(\gamma\)-positivity of multiset Eulerian polynomials. (English) Zbl 07504674 Eur. J. Comb. 102, Article ID 103491, 18 p. (2022). MSC: 05A05 05A15 05E05 11B68 PDF BibTeX XML Cite \textit{Z. Lin} et al., Eur. J. Comb. 102, Article ID 103491, 18 p. (2022; Zbl 07504674) Full Text: DOI OpenURL
Dey, Hiranya Kishore; Sivasubramanian, Sivaramakrishnan Eulerian central limit theorems and Carlitz identities in positive elements of classical Weyl groups. (English) Zbl 07504100 J. Comb. 13, No. 3, 333-356 (2022). MSC: 05A05 05A16 60F05 11B68 PDF BibTeX XML Cite \textit{H. K. Dey} and \textit{S. Sivasubramanian}, J. Comb. 13, No. 3, 333--356 (2022; Zbl 07504100) Full Text: DOI OpenURL
Kim, T.; Kim, D. S. On some degenerate differential and degenerate difference operators. (English) Zbl 07500881 Russ. J. Math. Phys. 29, No. 1, 37-46 (2022). MSC: 11B68 11B73 05A19 05A15 33-01 PDF BibTeX XML Cite \textit{T. Kim} and \textit{D. S. Kim}, Russ. J. Math. Phys. 29, No. 1, 37--46 (2022; Zbl 07500881) Full Text: DOI OpenURL
Corcino, Cristina B.; Corcino, Roberto B.; Çekim, Bayram; Kargin, Levent; Nkonkobe, Sithembele A second type of higher order generalized geometric polynomials and higher order generalized Euler polynomials. (English) Zbl 07495687 Quaest. Math. 45, No. 1, 71-89 (2022). MSC: 11B68 05A15 05A16 05A18 05A19 11B73 11B83 PDF BibTeX XML Cite \textit{C. B. Corcino} et al., Quaest. Math. 45, No. 1, 71--89 (2022; Zbl 07495687) Full Text: DOI OpenURL
Bagul, Yogesh J.; Chesneau, Christophe Generalized bounds for sine and cosine functions. (English) Zbl 07490774 Asian-Eur. J. Math. 15, No. 1, Article ID 2250012, 15 p. (2022). MSC: 26D05 26D07 26D20 33B10 PDF BibTeX XML Cite \textit{Y. J. Bagul} and \textit{C. Chesneau}, Asian-Eur. J. Math. 15, No. 1, Article ID 2250012, 15 p. (2022; Zbl 07490774) Full Text: DOI OpenURL
Bagno, Eli; Garber, David; Novick, Mordechai The Worpitzky identity for the groups of signed and even-signed permutations. (English) Zbl 07490067 J. Algebr. Comb. 55, No. 2, 413-428 (2022). MSC: 05A05 05A15 11B68 20F55 05A19 PDF BibTeX XML Cite \textit{E. Bagno} et al., J. Algebr. Comb. 55, No. 2, 413--428 (2022; Zbl 07490067) Full Text: DOI arXiv OpenURL
Dilcher, Karl; Jiu, Lin Hankel determinants of sequences related to Bernoulli and Euler polynomials. (English) Zbl 07488467 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 07488467) Full Text: DOI arXiv OpenURL
Iwaki, Kohei; Kidwai, Omar Topological recursion and uncoupled BPS structures. I: BPS spectrum and free energies. (English) Zbl 07483898 Adv. Math. 398, Article ID 108191, 54 p. (2022). Reviewer: Olivier Marchal (Saint-Etienne) MSC: 81T60 82B20 34M60 18G40 03D80 11B68 PDF BibTeX XML Cite \textit{K. Iwaki} and \textit{O. Kidwai}, Adv. Math. 398, Article ID 108191, 54 p. (2022; Zbl 07483898) Full Text: DOI arXiv OpenURL
Brändén, Petter; Jochemko, Katharina The Eulerian transformation. (English) Zbl 07479590 Trans. Am. Math. Soc. 375, No. 3, 1917-1931 (2022). MSC: 11B68 05A15 26C10 52B05 52B20 PDF BibTeX XML Cite \textit{P. Brändén} and \textit{K. Jochemko}, Trans. Am. Math. Soc. 375, No. 3, 1917--1931 (2022; Zbl 07479590) Full Text: DOI arXiv OpenURL
Komatsu, Takao Stirling numbers with level 2 and poly-Bernoulli numbers with level 2. (English) Zbl 07479522 Publ. Math. 100, No. 1-2, 241-256 (2022). MSC: 11B73 05A15 05A19 11A07 11B37 11B68 11B75 PDF BibTeX XML Cite \textit{T. Komatsu}, Publ. Math. 100, No. 1--2, 241--256 (2022; Zbl 07479522) Full Text: DOI arXiv OpenURL
Postavaru, Octavian; Toma, Antonela A numerical approach based on fractional-order hybrid functions of block-pulse and Bernoulli polynomials for numerical solutions of fractional optimal control problems. (English) Zbl 07478798 Math. Comput. Simul. 194, 269-284 (2022). MSC: 65-XX 49-XX PDF BibTeX XML Cite \textit{O. Postavaru} and \textit{A. Toma}, Math. Comput. Simul. 194, 269--284 (2022; Zbl 07478798) Full Text: DOI OpenURL
He, Tian-Xiao; Ramírez, José L. The dual of number sequences, Riordan polynomials, and Sheffer polynomials. (English) Zbl 1479.05017 Spec. Matrices 10, 153-165 (2022). MSC: 05A15 05A19 11B83 PDF BibTeX XML Cite \textit{T.-X. He} and \textit{J. L. Ramírez}, Spec. Matrices 10, 153--165 (2022; Zbl 1479.05017) Full Text: DOI OpenURL
Chow, Chak-On New proofs of interlacing of zeros of Eulerian polynomials. (English) Zbl 07474363 J. Math. Anal. Appl. 510, No. 2, Article ID 126019, 5 p. (2022). MSC: 11B68 11B83 05A15 26Cxx PDF BibTeX XML Cite \textit{C.-O. Chow}, J. Math. Anal. Appl. 510, No. 2, Article ID 126019, 5 p. (2022; Zbl 07474363) Full Text: DOI OpenURL
Choi, Junesang; Khan, Nabiullah; Usman, Talha Certain Laguerre-based generalized Apostol type polynomials. (English) Zbl 1479.33005 Tamkang J. Math. 53, No. 1, 59-74 (2022). MSC: 33C45 05A15 11B68 PDF BibTeX XML Cite \textit{J. Choi} et al., Tamkang J. Math. 53, No. 1, 59--74 (2022; Zbl 1479.33005) Full Text: DOI OpenURL
Komatsu, Takao Recurrence relations of poly-Cauchy numbers by the \(r\)-Stirling transform. (English) Zbl 07465528 Mediterr. J. Math. 19, No. 1, Paper No. 37, 18 p. (2022). MSC: 11B75 11B73 11B65 11B37 11B68 05A19 PDF BibTeX XML Cite \textit{T. Komatsu}, Mediterr. J. Math. 19, No. 1, Paper No. 37, 18 p. (2022; Zbl 07465528) Full Text: DOI arXiv OpenURL
Kanasri, Narakorn Rompurk; Komatsu, Takao; Laohakosol, Vichian Cameron’s operator in terms of determinants and hypergeometric numbers. (English) Zbl 1482.11036 Bol. Soc. Mat. Mex., III. Ser. 28, No. 1, Paper No. 9, 23 p. (2022). Reviewer: Takao Komatsu (Hangzhou) MSC: 11B83 05A15 05A19 15B05 11B68 11B73 11B75 11C20 33D45 PDF BibTeX XML Cite \textit{N. R. Kanasri} et al., Bol. Soc. Mat. Mex., III. Ser. 28, No. 1, Paper No. 9, 23 p. (2022; Zbl 1482.11036) Full Text: DOI arXiv OpenURL
Chen, Chao-Ping; Paris, Richard B. Series representations of the remainders in the expansions for certain trigonometric functions and some related inequalities. II. (English) Zbl 07462216 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 62, 20 p. (2022). MSC: 11B68 26D05 PDF BibTeX XML Cite \textit{C.-P. Chen} and \textit{R. B. Paris}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 62, 20 p. (2022; Zbl 07462216) Full Text: DOI OpenURL
Wang, David G. L.; Zhao, Tongyuan The peak and descent statistics over ballot permutations. (English) Zbl 1481.05008 Discrete Math. 345, No. 3, Article ID 112739, 10 p. (2022). MSC: 05A05 11B68 PDF BibTeX XML Cite \textit{D. G. L. Wang} and \textit{T. Zhao}, Discrete Math. 345, No. 3, Article ID 112739, 10 p. (2022; Zbl 1481.05008) Full Text: DOI arXiv OpenURL
Ma, Shi-Mei; Ma, Jun; Yeh, Jean; Yeh, Yeong-Nan Eulerian pairs and Eulerian recurrence systems. (English) Zbl 07456583 Discrete Math. 345, No. 3, Article ID 112716, 15 p. (2022). MSC: 11B68 05A05 PDF BibTeX XML Cite \textit{S.-M. Ma} et al., Discrete Math. 345, No. 3, Article ID 112716, 15 p. (2022; Zbl 07456583) Full Text: DOI arXiv OpenURL
Ma, Shi-Mei; Fang, Qi; Mansour, Toufik; Yeh, Yeong-Nan Alternating Eulerian polynomials and left peak polynomials. (English) Zbl 07456581 Discrete Math. 345, No. 3, Article ID 112714, 12 p. (2022). MSC: 11B68 05A05 05E05 PDF BibTeX XML Cite \textit{S.-M. Ma} et al., Discrete Math. 345, No. 3, Article ID 112714, 12 p. (2022; Zbl 07456581) Full Text: DOI arXiv OpenURL
Durán, Antonio J.; Pérez, Mario; Varona, Juan L. A method for summing Bessel series and a couple of illustrative examples. (English) Zbl 07453371 Proc. Am. Math. Soc. 150, No. 2, 763-778 (2022). MSC: 33C10 11B68 33C20 42A10 PDF BibTeX XML Cite \textit{A. J. Durán} et al., Proc. Am. Math. Soc. 150, No. 2, 763--778 (2022; Zbl 07453371) Full Text: DOI OpenURL
Bényi, Beáta A bijection for the Boolean numbers of Ferrers graphs. (English) Zbl 1479.05161 Graphs Comb. 38, No. 1, Paper No. 10, 14 p. (2022). MSC: 05C31 05C15 05A05 05A19 11B68 PDF BibTeX XML Cite \textit{B. Bényi}, Graphs Comb. 38, No. 1, Paper No. 10, 14 p. (2022; Zbl 1479.05161) Full Text: DOI OpenURL
Extremiana Aldana, José Ignacio; Labarga, Edgar; Mínguez Ceniceros, Judit; Varona, Juan Luis Discrete Appell-Dunkl sequences and Bernoulli-Dunkl polynomials of the second kind. (English) Zbl 07442675 J. Math. Anal. Appl. 507, No. 2, Article ID 125832, 20 p. (2022). MSC: 33Cxx 11Bxx 44Axx PDF BibTeX XML Cite \textit{J. I. Extremiana Aldana} et al., J. Math. Anal. Appl. 507, No. 2, Article ID 125832, 20 p. (2022; Zbl 07442675) Full Text: DOI OpenURL
Harada, Ryotaro On multi-poly-Bernoulli-Carlitz numbers. (English) Zbl 1476.11119 J. Number Theory 232, 406-422 (2022). MSC: 11M32 11B68 PDF BibTeX XML Cite \textit{R. Harada}, J. Number Theory 232, 406--422 (2022; Zbl 1476.11119) Full Text: DOI arXiv OpenURL
Nimbran, Amrik Singh; Levrie, Paul; Sofo, Anthony Harmonic-binomial Euler-like sums via expansions of \((\arcsin x)^p\). (English) Zbl 1478.05008 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 23, 23 p. (2022). MSC: 05A10 11B68 11B65 11M06 11Y60 33B15 41A58 PDF BibTeX XML Cite \textit{A. S. Nimbran} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 23, 23 p. (2022; Zbl 1478.05008) Full Text: DOI OpenURL
He, Tian-Xiao Methods for the summation of series. (English) Zbl 07422129 Discrete Mathematics and Its Applications. Boca Raton, FL: CRC Press (ISBN 978-0-367-50797-8/hbk; 978-1-032-19500-1/pbk; 978-1-003-05130-5/ebook). xxi, 435 p. (2022). MSC: 11-02 05-02 11B68 11B73 40A05 05A40 05A15 05A19 PDF BibTeX XML Cite \textit{T.-X. He}, Methods for the summation of series. Boca Raton, FL: CRC Press (2022; Zbl 07422129) Full Text: DOI OpenURL
Chen, William Y. C.; Fu, Amy M. A context-free grammar for the \(e\)-positivity of the trivariate second-order Eulerian polynomials. (English) Zbl 1476.05006 Discrete Math. 345, No. 1, Article ID 112661, 9 p. (2022). MSC: 05A05 11B68 68Q42 PDF BibTeX XML Cite \textit{W. Y. C. Chen} and \textit{A. M. Fu}, Discrete Math. 345, No. 1, Article ID 112661, 9 p. (2022; Zbl 1476.05006) Full Text: DOI arXiv OpenURL
Lanphier, Dominic Multivariable Faulhaber-type formulas and Barnes zeta functions. (English) Zbl 07412881 J. Math. Anal. Appl. 506, No. 2, Article ID 125716, 13 p. (2022). MSC: 11B68 11M41 PDF BibTeX XML Cite \textit{D. Lanphier}, J. Math. Anal. Appl. 506, No. 2, Article ID 125716, 13 p. (2022; Zbl 07412881) Full Text: DOI OpenURL
Srdanov, Aleksa; Stefanović, Radiša; Kovačević, Nada Ratković Sums of powers with \(F_k\) numbers. (English) Zbl 07523026 JP J. Algebra Number Theory Appl. 51, No. 1, 77-95 (2021). MSC: 11B68 26C15 PDF BibTeX XML Cite \textit{A. Srdanov} et al., JP J. Algebra Number Theory Appl. 51, No. 1, 77--95 (2021; Zbl 07523026) Full Text: DOI OpenURL
Asfaw, Nasir; Hassen, Abdul Asymptotic behavior and zeros of hypergeometric Bernoulli polynomials of order 2. (English) Zbl 07522993 JP J. Algebra Number Theory Appl. 49, No. 1, 51-75 (2021). MSC: 11M41 PDF BibTeX XML Cite \textit{N. Asfaw} and \textit{A. Hassen}, JP J. Algebra Number Theory Appl. 49, No. 1, 51--75 (2021; Zbl 07522993) Full Text: DOI OpenURL
Kim, Hye Kyung Poly-falling factorial sequences and poly-rising factorial sequences. (English) Zbl 07517518 Open Math. 19, 1620-1635 (2021). MSC: 11B73 11B83 05A19 PDF BibTeX XML Cite \textit{H. K. Kim}, Open Math. 19, 1620--1635 (2021; Zbl 07517518) Full Text: DOI OpenURL
Mboutngam, Salifou; Sadjang, Patrick Njionou On \(q\)-hypergeometric Bernoulli polynomials and numbers. (English) Zbl 07512842 Hacet. J. Math. Stat. 50, No. 5, 1251-1267 (2021). MSC: 11B68 05A30 33D15 PDF BibTeX XML Cite \textit{S. Mboutngam} and \textit{P. N. Sadjang}, Hacet. J. Math. Stat. 50, No. 5, 1251--1267 (2021; Zbl 07512842) Full Text: DOI OpenURL
Zhang, Bo; Tang, Yinggan; Zhang, Xuguang Numerical solution of fractional differential equations using hybrid Bernoulli polynomials and block pulse functions. (English) Zbl 07500425 Math. Sci., Springer 15, No. 3, 293-304 (2021). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{B. Zhang} et al., Math. Sci., Springer 15, No. 3, 293--304 (2021; Zbl 07500425) Full Text: DOI OpenURL
Göral, Haydar; Sertbaş, Doğa Can Applications of class numbers and Bernoulli numbers to harmonic type sums. (English) Zbl 07499622 Bull. Korean Math. Soc. 58, No. 6, 1463-1481 (2021). MSC: 11B83 11B68 PDF BibTeX XML Cite \textit{H. Göral} and \textit{D. C. Sertbaş}, Bull. Korean Math. Soc. 58, No. 6, 1463--1481 (2021; Zbl 07499622) Full Text: DOI OpenURL
Simsek, Yilmaz New classes of recurrence relations involving hyperbolic functions, special numbers and polynomials. (English) Zbl 07498591 Appl. Anal. Discrete Math. 15, No. 2, 426-443 (2021). MSC: 05A05 05A15 05A40 11B37 11B68 11B83 33E30 PDF BibTeX XML Cite \textit{Y. Simsek}, Appl. Anal. Discrete Math. 15, No. 2, 426--443 (2021; Zbl 07498591) Full Text: DOI OpenURL
Urías Hermosillo, Jesús Sums of powers of natural numbers. (Sumas de potencias de números naturales.) (Spanish) Zbl 1482.11032 Misc. Mat. 72, 51-65 (2021). MSC: 11B68 PDF BibTeX XML Cite \textit{J. Urías Hermosillo}, Misc. Mat. 72, 51--65 (2021; Zbl 1482.11032) Full Text: DOI OpenURL
Kim, Daeyeoul; Yildiz Ikikardes, Nazli Relations of combinatoric convolution sums for restricted divisor functions and Bernoulli polynomials. (English) Zbl 07493442 Miskolc Math. Notes 22, No. 2, 731-748 (2021). MSC: 11A05 33E99 PDF BibTeX XML Cite \textit{D. Kim} and \textit{N. Yildiz Ikikardes}, Miskolc Math. Notes 22, No. 2, 731--748 (2021; Zbl 07493442) Full Text: DOI OpenURL
Enteghami-Orimi, Elham; Babakhani, Azizollah; Hosainzadeh, Hassan A numerical solution of Volterra integral-algebraic equations using Bernstein polynomials. (English) Zbl 07493434 Miskolc Math. Notes 22, No. 2, 639-654 (2021). MSC: 11B68 65H10 PDF BibTeX XML Cite \textit{E. Enteghami-Orimi} et al., Miskolc Math. Notes 22, No. 2, 639--654 (2021; Zbl 07493434) Full Text: DOI OpenURL
Khan, Nabiullah; Husain, Saddam Analysis of Bell based Euler polynomials and their application. (English) Zbl 07489974 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 07489974) Full Text: DOI arXiv OpenURL
Frontczak, Robert; Goy, Taras Lucas-Euler relations using balancing and Lucas-balancing polynomials. (English) Zbl 07489041 Kyungpook Math. J. 61, No. 3, 473-486 (2021). MSC: 11B37 11B65 05A15 PDF BibTeX XML Cite \textit{R. Frontczak} and \textit{T. Goy}, Kyungpook Math. J. 61, No. 3, 473--486 (2021; Zbl 07489041) Full Text: DOI arXiv OpenURL
Mohamed, Doaa Shokry; Abdessami, Dina Mohamed A comparison between Bernoulli-collocation method and Hermite-Galerkin method for solving two-dimensional mixed Volterra-Fredholm singular integral equations. (English) Zbl 1483.65222 Trans. A. Razmadze Math. Inst. 175, No. 2, 259-267 (2021). MSC: 65R20 45D05 45B05 PDF BibTeX XML Cite \textit{D. S. Mohamed} and \textit{D. M. Abdessami}, Trans. A. Razmadze Math. Inst. 175, No. 2, 259--267 (2021; Zbl 1483.65222) Full Text: Link OpenURL
Wang, Xiaoyuan; Chu, Wenchang Binomial sums about Bernoulli, Euler and Hermite polynomials. (English) Zbl 07486948 DML, Discrete Math. Lett. 5, 5-11 (2021). MSC: 11B68 05A10 PDF BibTeX XML Cite \textit{X. Wang} and \textit{W. Chu}, DML, Discrete Math. Lett. 5, 5--11 (2021; Zbl 07486948) Full Text: DOI OpenURL
Kim, Taekyun; Kim, Dae San; Dolgy, Dmitry V.; Park, Jin-Woo On the type 2 poly-Bernoulli polynomials associated with umbral calculus. (English) Zbl 07485654 Open Math. 19, 878-887 (2021). MSC: 11B83 PDF BibTeX XML Cite \textit{T. Kim} et al., Open Math. 19, 878--887 (2021; Zbl 07485654) Full Text: DOI OpenURL
Ma, Minyoung; Lim, Dongkyu A note on polyexponential and unipoly Bernoulli polynomials of the second kind. (English) Zbl 1481.05015 Open Math. 19, 869-877 (2021). MSC: 05A19 11B83 34A34 PDF BibTeX XML Cite \textit{M. Ma} and \textit{D. Lim}, Open Math. 19, 869--877 (2021; Zbl 1481.05015) Full Text: DOI OpenURL
Srivastava, H. M.; Srivastava, Rekha; Muhyi, Abdulghani; Yasmin, Ghazala; Islahi, Hibah; Araci, Serkan Construction of a new family of Fubini-type polynomials and its applications. (English) Zbl 07485431 Adv. Difference Equ. 2021, Paper No. 36, 25 p. (2021). MSC: 11B68 33C45 11B73 05A19 11B83 PDF BibTeX XML Cite \textit{H. M. Srivastava} et al., Adv. Difference Equ. 2021, Paper No. 36, 25 p. (2021; Zbl 07485431) Full Text: DOI OpenURL
Ma, Yuankui; Kim, Dae San; Lee, Hyunseok; Kim, Hanyoung; Kim, Taekyun Reciprocity of poly-Dedekind-type DC sums involving poly-Euler functions. (English) Zbl 07485425 Adv. Difference Equ. 2021, Paper No. 30, 18 p. (2021). MSC: 11F20 11B68 11B83 PDF BibTeX XML Cite \textit{Y. Ma} et al., Adv. Difference Equ. 2021, Paper No. 30, 18 p. (2021; Zbl 07485425) Full Text: DOI arXiv OpenURL
Bencherif, Farid; Boumahdi, Rachid; Garici, Tarek Symmetric identity for polynomial sequences satisfying \(A^\prime_{n+1}(x) = (n + 1)A_n(x)\). (English) Zbl 1480.05012 Commun. Math. 29, No. 3, 343-355 (2021). MSC: 05A19 05A40 11B68 PDF BibTeX XML Cite \textit{F. Bencherif} et al., Commun. Math. 29, No. 3, 343--355 (2021; Zbl 1480.05012) Full Text: DOI OpenURL
Batyrev, Victor; Hofscheier, Johannes A generalization of a theorem of White. (English) Zbl 1483.52011 Mosc. J. Comb. Number Theory 10, No. 4, 281-296 (2021). MSC: 52B20 14B05 11B68 PDF BibTeX XML Cite \textit{V. Batyrev} and \textit{J. Hofscheier}, Mosc. J. Comb. Number Theory 10, No. 4, 281--296 (2021; Zbl 1483.52011) Full Text: DOI arXiv OpenURL
Khan, Waseem A.; Srivastava, Divesh Certain properties of Apostol-type Hermite-based-Frobenius-Genocchi polynomials. (English) Zbl 07477640 Kragujevac J. Math. 45, No. 6, 859-872 (2021). MSC: 11B68 05A10 05A15 33C45 26B99 PDF BibTeX XML Cite \textit{W. A. Khan} and \textit{D. Srivastava}, Kragujevac J. Math. 45, No. 6, 859--872 (2021; Zbl 07477640) Full Text: DOI Link OpenURL
Janthawee, Mayurachat; Kanasri, Narakorn Rompurk SEL Egyptian fraction expansion and characterizations of rational numbers. (English) Zbl 07477500 J. Discrete Math. Sci. Cryptography 24, No. 1, 277-298 (2021). MSC: 11B68 11A67 PDF BibTeX XML Cite \textit{M. Janthawee} and \textit{N. R. Kanasri}, J. Discrete Math. Sci. Cryptography 24, No. 1, 277--298 (2021; Zbl 07477500) Full Text: DOI OpenURL
Ito, Kunihiro Analytic continuation of multi-variable Arakawa-Kaneko zeta function for positive indices and its values at positive integers. (English) Zbl 07472553 Funct. Approximatio, Comment. Math. 65, No. 2, 237-254 (2021). Reviewer: Yilmaz Simsek (Antalya) MSC: 11M32 11B68 PDF BibTeX XML Cite \textit{K. Ito}, Funct. Approximatio, Comment. Math. 65, No. 2, 237--254 (2021; Zbl 07472553) Full Text: DOI OpenURL
Mínguez Ceniceros, Judit; Varona, Juan L. Asymptotic behavior of Bernoulli-Dunkland Euler-Dunkl polynomials and their zeros. (English) Zbl 07472551 Funct. Approximatio, Comment. Math. 65, No. 2, 211-226 (2021). MSC: 11B68 33C10 42C10 PDF BibTeX XML Cite \textit{J. Mínguez Ceniceros} and \textit{J. L. Varona}, Funct. Approximatio, Comment. Math. 65, No. 2, 211--226 (2021; Zbl 07472551) Full Text: DOI OpenURL
Chen, Chao-Ping; Srivastava, H. M. Some new properties of the Barnes \(G\)-function and related results. (English) Zbl 07472244 Appl. Anal. Discrete Math. 15, No. 1, 129-150 (2021). MSC: 33B15 26A48 11A55 PDF BibTeX XML Cite \textit{C.-P. Chen} and \textit{H. M. Srivastava}, Appl. Anal. Discrete Math. 15, No. 1, 129--150 (2021; Zbl 07472244) Full Text: DOI OpenURL
Masjed-Jamei, Mohammad; Moalemi, Zahra Sine and cosine types of generating functions. (English) Zbl 07472241 Appl. Anal. Discrete Math. 15, No. 1, 82-105 (2021). MSC: 05A15 11B68 PDF BibTeX XML Cite \textit{M. Masjed-Jamei} and \textit{Z. Moalemi}, Appl. Anal. Discrete Math. 15, No. 1, 82--105 (2021; Zbl 07472241) Full Text: DOI OpenURL
Pathan, M. A.; Khan, Waseem A. On the three families of extended Laguerre-based Apostol-type polynomials. (English) Zbl 07469756 Proyecciones 40, No. 2, 313-334 (2021). MSC: 11B83 11B37 11B68 33C45 PDF BibTeX XML Cite \textit{M. A. Pathan} and \textit{W. A. Khan}, Proyecciones 40, No. 2, 313--334 (2021; Zbl 07469756) Full Text: DOI OpenURL
Taherpour, Vahid; Nazari, Mojtaba; Nemati, Ali A new numerical Bernoulli polynomial method for solving fractional optimal control problems with vector components. (English) Zbl 07468444 Comput. Methods Differ. Equ. 9, No. 2, 446-466 (2021). MSC: 49J15 65N35 26A33 11B68 PDF BibTeX XML Cite \textit{V. Taherpour} et al., Comput. Methods Differ. Equ. 9, No. 2, 446--466 (2021; Zbl 07468444) 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
Kim, Taekyun; Kim, Dae San; Kwon, Jongkyum; Lee, Hyunseok Representations of degenerate poly-Bernoulli polynomials. (English) Zbl 07465037 J. Inequal. Appl. 2021, Paper No. 58, 12 p. (2021). MSC: 11Bxx 05Axx 33Cxx PDF BibTeX XML Cite \textit{T. Kim} et al., J. Inequal. Appl. 2021, Paper No. 58, 12 p. (2021; Zbl 07465037) Full Text: DOI arXiv OpenURL
Cenkci, Mehmet; Ünal, Abdurrahman A two-variable Dirichlet series and its applications. (English) Zbl 1483.11195 Quaest. Math. 44, No. 12, 1661-1679 (2021). MSC: 11M41 11B68 11M32 PDF BibTeX XML Cite \textit{M. Cenkci} and \textit{A. Ünal}, Quaest. Math. 44, No. 12, 1661--1679 (2021; Zbl 1483.11195) Full Text: DOI OpenURL
Kang, Jung Yoog Explicit properties of \(q\)-sigmoid polynomials combining \(q\)-cosine function. (English) Zbl 07452341 J. Appl. Math. Inform. 39, No. 3-4, 541-552 (2021). MSC: 11B68 11B75 26C05 PDF BibTeX XML Cite \textit{J. Y. Kang}, J. Appl. Math. Inform. 39, No. 3--4, 541--552 (2021; Zbl 07452341) Full Text: DOI OpenURL
Choi, Ji Eun; Kim, Ahyun Multiplication formula and \((w, q)\)-alternating power sums of twisted \(q\)-Euler polynomials of the second kind. (English) Zbl 07452335 J. Appl. Math. Inform. 39, No. 3-4, 455-467 (2021). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{J. E. Choi} and \textit{A. Kim}, J. Appl. Math. Inform. 39, No. 3--4, 455--467 (2021; Zbl 07452335) Full Text: DOI OpenURL
Jang, Douk Soo On congruences involving Euler polynomials and the quotients of Fermat. (English) Zbl 07452331 J. Appl. Math. Inform. 39, No. 3-4, 405-417 (2021). MSC: 11A07 11B68 PDF BibTeX XML Cite \textit{D. S. Jang}, J. Appl. Math. Inform. 39, No. 3--4, 405--417 (2021; Zbl 07452331) Full Text: DOI OpenURL
Park, Min Ji A research on the special functions by using \(q\)-trigonometric functions. (English) Zbl 07452306 J. Appl. Math. Inform. 39, No. 1-2, 83-91 (2021). MSC: 11B68 11B75 12D10 PDF BibTeX XML Cite \textit{M. J. Park}, J. Appl. Math. Inform. 39, No. 1--2, 83--91 (2021; Zbl 07452306) Full Text: DOI OpenURL
Kang, Jung Yoog Studies on properties and characteristics of two new types of \(q\)-Genocchi polynomials. (English) Zbl 07452304 J. Appl. Math. Inform. 39, No. 1-2, 57-72 (2021). MSC: 11B68 11B75 12D10 PDF BibTeX XML Cite \textit{J. Y. Kang}, J. Appl. Math. Inform. 39, No. 1--2, 57--72 (2021; Zbl 07452304) Full Text: DOI OpenURL
Kurt, Burak; Kurt, Veli On the \((p, q)\)-poly-Korobov polynomials and related polynomials. (English) Zbl 07452303 J. Appl. Math. Inform. 39, No. 1-2, 45-56 (2021). MSC: 11B68 11B83 11S80 05A19 05A40 PDF BibTeX XML Cite \textit{B. Kurt} and \textit{V. Kurt}, J. Appl. Math. Inform. 39, No. 1--2, 45--56 (2021; Zbl 07452303) Full Text: DOI OpenURL
Ryoo, Cheon Seoung Some properties of degenerate Carlitz-type twisted \(q\)-Euler numbers and polynomials. (English) Zbl 07452300 J. Appl. Math. Inform. 39, No. 1-2, 1-11 (2021). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{C. S. Ryoo}, J. Appl. Math. Inform. 39, No. 1--2, 1--11 (2021; Zbl 07452300) Full Text: DOI OpenURL
Bagul, Yogesh J.; Kostić, Marko; Chesneau, Christophe; Dhaigude, Ramkrishna M. On the generalized Becker-Stark type inequalities. (English) Zbl 07451007 Acta Univ. Sapientiae, Math. 13, No. 1, 88-104 (2021). MSC: 26D05 26A48 26D07 33B10 PDF BibTeX XML Cite \textit{Y. J. Bagul} et al., Acta Univ. Sapientiae, Math. 13, No. 1, 88--104 (2021; Zbl 07451007) Full Text: DOI OpenURL
Ghayasuddin, Mohd; Khan, Nabiullah; Khan, Waseem A.; Srivastava, Divesh Some properties of Laguerre-based Hermite-Bernoulli polynomials. (English) Zbl 07449398 Southeast Asian Bull. Math. 45, No. 3, 329-340 (2021). MSC: 33C45 11B68 PDF BibTeX XML Cite \textit{M. Ghayasuddin} et al., Southeast Asian Bull. Math. 45, No. 3, 329--340 (2021; Zbl 07449398) OpenURL
Chen, Chaoping; Zhang, Xiao A positive series involving the Wallis ratio. (Chinese. English summary) Zbl 07448833 Math. Pract. Theory 51, No. 15, 264-268 (2021). MSC: 40A05 PDF BibTeX XML Cite \textit{C. Chen} and \textit{X. Zhang}, Math. Pract. Theory 51, No. 15, 264--268 (2021; Zbl 07448833) OpenURL
Zheng, Hui; Yang, Shichun The positive integer solutions to multivariate Euler function equation \(\varphi({x_1}{x_2} \cdots {x_n}) = {k_1}\varphi({x_1}) + {k_2}\varphi({x_2}) + \cdots + {k_n}\varphi({x_n}) \pm l\). (Chinese. English summary) Zbl 07448803 Math. Pract. Theory 51, No. 13, 313-318 (2021). MSC: 11B68 11D72 PDF BibTeX XML Cite \textit{H. Zheng} and \textit{S. Yang}, Math. Pract. Theory 51, No. 13, 313--318 (2021; Zbl 07448803) OpenURL
Zhang, Sibao; Jiang, Lianxia The solutions of arithmetic function equation \(k\varphi(Y) = {\varphi_2}(Y) + S(Y^8)\). (Chinese. English summary) Zbl 07448418 J. Jiangxi Norm. Univ., Nat. Sci. Ed. 45, No. 2, 194-197 (2021). MSC: 11D41 11B68 11B83 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{L. Jiang}, J. Jiangxi Norm. Univ., Nat. Sci. Ed. 45, No. 2, 194--197 (2021; Zbl 07448418) Full Text: DOI OpenURL
Zhang, Sibao; Jiang, Lianxia Discussion on the positive integer solution of equation \(k\varphi (m) = S(m^t)\). (Chinese. English summary) Zbl 07448407 J. Henan Univ., Nat. Sci. 51, No. 3, 367-372 (2021). MSC: 11D41 11B68 11B83 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{L. Jiang}, J. Henan Univ., Nat. Sci. 51, No. 3, 367--372 (2021; Zbl 07448407) Full Text: DOI OpenURL
Mehrabinezhad, M.; Eftekhari, N. Application of periodic Bernoulli polynomials in approximating the solution of linear time-delay optimal control problems. (English) Zbl 1479.49079 J. Difference Equ. Appl. 27, No. 9, 1329-1354 (2021). MSC: 49N10 49N25 49M25 49M99 PDF BibTeX XML Cite \textit{M. Mehrabinezhad} and \textit{N. Eftekhari}, J. Difference Equ. Appl. 27, No. 9, 1329--1354 (2021; Zbl 1479.49079) Full Text: DOI OpenURL
Liu, Ji-Cai; Ni, He-Xia On two supercongruences involving Almkvist-Zudilin sequences. (English) Zbl 07442486 Czech. Math. J. 71, No. 4, 1211-1219 (2021). MSC: 11A07 11B68 05A19 PDF BibTeX XML Cite \textit{J.-C. Liu} and \textit{H.-X. Ni}, Czech. Math. J. 71, No. 4, 1211--1219 (2021; Zbl 07442486) Full Text: DOI OpenURL
Mehboodi, Soodeh; Hooshmand, M. H. Upper bounds for analytic summand functions and related inequalities. (English) Zbl 1482.30014 Math. Slovaca 71, No. 5, 1103-1112 (2021). MSC: 30C10 30A10 40A30 11B68 PDF BibTeX XML Cite \textit{S. Mehboodi} and \textit{M. H. Hooshmand}, Math. Slovaca 71, No. 5, 1103--1112 (2021; Zbl 1482.30014) Full Text: DOI OpenURL
Han, Bin; Mao, Jianxi; Zeng, Jiang Equidistributions around special kinds of descents and excedances. (English) Zbl 1479.05006 SIAM J. Discrete Math. 35, No. 4, 2858-2879 (2021). MSC: 05A05 05A15 05A19 11B68 PDF BibTeX XML Cite \textit{B. Han} et al., SIAM J. Discrete Math. 35, No. 4, 2858--2879 (2021; Zbl 1479.05006) Full Text: DOI arXiv OpenURL
Guariglia, Emanuel Fractional calculus, zeta functions and Shannon entropy. (English) Zbl 1475.11151 Open Math. 19, 87-100 (2021). MSC: 11M35 26A33 11B68 PDF BibTeX XML Cite \textit{E. Guariglia}, Open Math. 19, 87--100 (2021; Zbl 1475.11151) Full Text: DOI OpenURL
Mao, Guo-Shuai; Wen, Chen-Wei On two supercongruences of truncated hypergeometric series \({}_4 F_3\). (English) Zbl 1479.11012 Ramanujan J. 56, No. 2, 597-612 (2021). MSC: 11A07 33C20 11B68 PDF BibTeX XML Cite \textit{G.-S. Mao} and \textit{C.-W. Wen}, Ramanujan J. 56, No. 2, 597--612 (2021; Zbl 1479.11012) Full Text: DOI arXiv OpenURL
Çetinkaya, Asena; Karp, Dmitrii; Prilepkina, Elena Hypergeometric functions at unit argument: simple derivation of old and new identities. (English) Zbl 07431237 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 098, 25 p. (2021). MSC: 33C20 33C60 33C70 PDF BibTeX XML Cite \textit{A. Çetinkaya} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 098, 25 p. (2021; Zbl 07431237) Full Text: DOI arXiv OpenURL
Ayyer, Arvind; Bényi, Beáta Toppling on permutations with an extra chip. (English) Zbl 1478.05002 Electron. J. Comb. 28, No. 4, Research Paper P4.18, 28 p. (2021). MSC: 05A05 05A15 05A10 05A19 05C78 11B68 PDF BibTeX XML Cite \textit{A. Ayyer} and \textit{B. Bényi}, Electron. J. Comb. 28, No. 4, Research Paper P4.18, 28 p. (2021; Zbl 1478.05002) Full Text: DOI arXiv OpenURL
Guo, Bai-Ni; Qi, Feng Viewing some ordinary differential equations from the angle of derivative polynomials. (English) Zbl 07426499 Iran. J. Math. Sci. Inform. 16, No. 1, 77-95 (2021). MSC: 11B68 11B83 26A24 33B10 34A34 PDF BibTeX XML Cite \textit{B.-N. Guo} and \textit{F. Qi}, Iran. J. Math. Sci. Inform. 16, No. 1, 77--95 (2021; Zbl 07426499) Full Text: Link OpenURL
Edwards, James P.; Mata, C. Moctezuma; Müller, Uwe; Schubert, Christian New techniques for worldline integration. (English) Zbl 07425540 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 065, 19 p. (2021). MSC: 11B68 33C65 81Q30 PDF BibTeX XML Cite \textit{J. P. Edwards} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 065, 19 p. (2021; Zbl 07425540) Full Text: DOI arXiv OpenURL
Drekic, Steve; Spivey, Michael Z. On the number of trials needed to obtain \(k\) consecutive successes. (English) Zbl 1474.60015 Stat. Probab. Lett. 176, Article ID 109132, 9 p. (2021). MSC: 60C05 PDF BibTeX XML Cite \textit{S. Drekic} and \textit{M. Z. Spivey}, Stat. Probab. Lett. 176, Article ID 109132, 9 p. (2021; Zbl 1474.60015) Full Text: DOI OpenURL
Frontczak, Robert; Goy, Taras More Fibonacci-Bernoulli relations with and without balancing polynomials. (English) Zbl 1474.11061 Math. Commun. 26, No. 2, 215-226 (2021). MSC: 11B68 11B39 05A15 PDF BibTeX XML Cite \textit{R. Frontczak} and \textit{T. Goy}, Math. Commun. 26, No. 2, 215--226 (2021; Zbl 1474.11061) Full Text: arXiv Link OpenURL
Khan, Nabiullah; Usman, Talha; Choi, Junesang A new class of generalized polynomials involving Laguerre and Euler polynomials. (English) Zbl 07424363 Hacet. J. Math. Stat. 50, No. 1, 1-13 (2021). MSC: 05A10 05A15 11B68 PDF BibTeX XML Cite \textit{N. Khan} et al., Hacet. J. Math. Stat. 50, No. 1, 1--13 (2021; Zbl 07424363) 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
Zhou, Yajun Wrońskian algebra and Broadhurst-Roberts quadratic relations. (English) Zbl 1479.81025 Commun. Number Theory Phys. 15, No. 4, 651-741 (2021). MSC: 81Q30 11B68 33C10 34M35 PDF BibTeX XML Cite \textit{Y. Zhou}, Commun. Number Theory Phys. 15, No. 4, 651--741 (2021; Zbl 1479.81025) Full Text: DOI arXiv OpenURL