On generating functions of multiple zeta values and generalized hypergeometric functions
From MaRDI portal
Publication:617835
DOI10.1007/s00229-010-0388-7zbMath1219.11129OpenAlexW2007561349MaRDI QIDQ617835
Noriko Wakabayashi, Yasuo Ohno, Takashi Aoki
Publication date: 14 January 2011
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00229-010-0388-7
Classical hypergeometric functions, ({}_2F_1) (33C05) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
Related Items (8)
Sum of interpolated finite multiple harmonic \(q\)-series ⋮ Generating function of multiple polylog of Hurwitz type ⋮ Multiple zeta functions and polylogarithms over global function fields ⋮ Sum of interpolated multiple \(q\)-zeta values ⋮ On \(p\)-Bernoulli numbers and polynomials ⋮ A $q$-analogue of non-strict multiple zeta values and basic hypergeometric series ⋮ Linear differential equations and multiple zeta-values. III. Zeta(3) ⋮ Some relations of interpolated multiple zeta values
Cites Work
- Zeta stars
- Multiple harmonic series
- A generalization of the duality and sum formulas on the multiple zeta values
- The algebra of multiple harmonic series
- Multiple \(q\)-zeta values
- Multiple zeta values of fixed weight, depth, and height
- Relations of multiple zeta values and their algebraic expression.
- An algebraic proof of the cyclic sum formula for multiple zeta values
- Sum of multiple zeta values of fixed weight, depth and \(i\)-height
- On relations for the multiple \(q\)-zeta values
- Sum relations for multiple zeta values and connection formulas for the Gauss hypergeometric functions
- A $q$-analogue of non-strict multiple zeta values and basic hypergeometric series
- Cyclic sum of multiple zeta values
- Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
- Resolution of Some Open Problems Concerning Multiple Zeta Evaluations of Arbitrary Depth
- Sum Relations for Multiple Zeta Values
- 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
- Derivation and double shuffle relations for multiple zeta values
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On generating functions of multiple zeta values and generalized hypergeometric functions