Multiple two-variable \(p\)-adic \(q\)-\(L\)-function and its behavior at \(s=0\)

DOI10.1134/S106192080804002XzbMath1192.11079MaRDI QIDQ1033801

Yilmaz Simsek, Veli Kurt, Mehmet Cenkci

Publication date: 10 November 2009

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

interpolation of multiple generalized \(q\)-Bernoulli polynomialsMultiple two-variable \(p\)-adic \(q\)-\(L\)-function

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Zeta functions and (L)-functions (11S40) Basic hypergeometric functions (33D99)

Related Items

Some identities for the product of two Bernoulli and Euler polynomials, On the modified \(q\)-Euler polynomials with weight, On Carlitz's type \(q\)-Euler numbers associated with the fermionic \(P\)-adic integral on \(\mathbb Z_p\), Some properties and identities of Bernoulli and Euler polynomials associated with \(p\)-adic integral on \(\mathbb Z_p\), Identities on the weighted \(q\)-Bernoulli numbers of higher order, A note on Boole polynomials, On the symmetric properties of the multivariate \(p\)-adic invariant integral on \(\mathbb Z_p\) associated with the twisted generalized Euler polynomials of higher order, A family of \(p\)-adic twisted interpolation functions associated with the modified Bernoulli numbers, On the values of the weighted \(q\)-zeta and \(L\)-functions, A note on the \(q\)-Euler measures, Some identities of symmetry for the generalized Bernoulli numbers and polynomials, Sums of products of \(q\)-Euler polynomials and numbers, On the identities of symmetry for the generalized Bernoulli polynomials attached to \(\chi \) of higher order, Symmetric identities of Hermite-Bernoulli polynomials and Hermite-Bernoulli numbers attached to a Dirichlet character \(\chi\)

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