Values of twisted Barnes zeta functions at negative integers
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Publication:384378
DOI10.1134/S1061920813020015zbMath1276.11145MaRDI QIDQ384378
Abdelmejid Bayad, Yilmaz Simsek
Publication date: 27 November 2013
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
identitiesspecial valuesHurwitz zeta functionsBarnes zeta functionstwisted Barnes numbers and polynomialstwisted zeta function
Bernoulli and Euler numbers and polynomials (11B68) Gamma, beta and polygamma functions (33B15) Hurwitz and Lerch zeta functions (11M35) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
Related Items (5)
Explicit computations of some spectral invariants of compact symmetric spaces of rank one ⋮ Some identities on degenerate hyperharmonic numbers ⋮ Results on values of Barnes polynomials ⋮ Applications of Apostol-type numbers and polynomials: approach to techniques of computation algorithms in approximation and interpolation functions ⋮ Appell-Dunkl sequences and Hurwitz-Dunkl zeta functions
Cites Work
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- \(q\)-Volkenborn integration
- \(q\)-Bernoulli numbers and polynomials associated with multiple \(q\)-zeta functions and basic \(L\)-series
- Twisted \((h,q)\)-Bernoulli numbers and polynomials related to twisted \((h,q)\)-zeta function and \(L\)-function
- Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent
- Shintani-Barnes zeta and gamma functions
- An efficient algorithm for accelerating the convergence of oscillatory series, useful for computing the polylogarithm and Hurwitz zeta functions
- Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
- ON THE ANALOGS OF BERNOULLI AND EULER NUMBERS, RELATED IDENTITIES AND ZETA AND L-FUNCTIONS
- Symmetryp-adic invariant integral on ℤpfor Bernoulli and Euler polynomials
- New approach to the complete sum of products of the twisted (h, q)-Bernoulli numbers and polynomials
- The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order
- ANALYTIC PROPERTIES OF THE q-VOLKENBORN INTEGRAL ON THE RING OF p-ADIC INTEGERS
- A Note on Bernoulli Numbers and Polynomials of Higher Order
- The Multiplication Formulas for the Bernoulli and Euler Polynomials
- On Barnes' multiple zeta and gamma functions
- Sums of products of \(q\)-Bernoulli numbers
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