A $q$-analogue of non-strict multiple zeta values and basic hypergeometric series

DOI10.1090/S0002-9939-09-09931-6zbMath1183.33033OpenAlexW1973882793MaRDI QIDQ3395572

Yoshihiro Takeyama

Publication date: 11 September 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-09931-6

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (6)

On generating functions of multiple zeta values and generalized hypergeometric functions ⋮ Generating function of multiple polylog of Hurwitz type ⋮ Sum of interpolated multiple \(q\)-zeta values ⋮ Sums of two-parameter deformations of multiple polylogarithms ⋮ Special values of finite multiple harmonic \(q\)-series at roots of unity ⋮ Cyclotomic analogues of finite multiple zeta values

Cites Work

• On generating functions of multiple zeta values and generalized hypergeometric functions
• Multiple \(q\)-zeta functions and multiple \(q\)-polylogarithms
• Multiple \(q\)-zeta values
• Multiple zeta values of fixed weight, depth, and height
• Sum of multiple zeta values of fixed weight, depth and \(i\)-height
• On relations for the multiple \(q\)-zeta values
• Duality for finite multiple harmonic \(q\)-series
• On the sum formula for the $q$-analogue of non-strict multiple zeta values
• A generating function for sums of multiple zeta values and its applications
• Unnamed Item

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