Some expansion formulas for \(q\)-series and their applications
DOI10.1016/J.JCTA.2024.105941MaRDI QIDQ6637135
Publication date: 13 November 2024
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Hurwitz zeta functionDirichlet \(L\)-functionorthogonality relationbasic hypergeometric seriesexpansion formulasummation formulatransformation formulaDilcher's identitydouble Rogers-Ramanujan type identity
(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Zeta functions and (L)-functions of number fields (11R42) (q)-gamma functions, (q)-beta functions and integrals (33D05) Hurwitz and Lerch zeta functions (11M35) Partition identities; identities of Rogers-Ramanujan type (11P84)
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