Analytic continuation of the multiple Daehee q-l-functions associated with Daehee numbers
- 1 March 2008
- journal article
- Published by Pleiades Publishing Ltd in Russian Journal of Mathematical Physics
- Vol. 15 (1) , 58-65
- https://doi.org/10.1134/s106192080801007x
Abstract
In this paper, we present a new generating function which is related to Daehee numbers. By using the Mellin transformation formula and the Cauchy theorem for this generating function, we define multiple Daehee q-l-functions and q-zeta functions We also give the values of this function at negative integers.Keywords
This publication has 36 references indexed in Scilit:
- Shintani–Barnes zeta and gamma functionsAdvances in Mathematics, 2003
- On q-analogues of Riemann's zeta functionSelecta Mathematica, 2001
- q-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and GlaisherDiscrete Mathematics, 1999
- Quantum KZ equation with |q| = 1 and correlation functions of theXXZmodel in the gapless regimeJournal of Physics A: General Physics, 1996
- Some q-series identities related to divisor functionsDiscrete Mathematics, 1995
- Applications of a Recurrence for the Bernoulli NumbersJournal of Number Theory, 1995
- Stirling's Series and Bernoulli NumbersThe American Mathematical Monthly, 1991
- Theq-Gamma andq-Beta Functions†Applicable Analysis, 1978
- Lectures on P-Adic L-Functions. (AM-74)Published by Walter de Gruyter GmbH ,1972
- q-Bernoulli numbers and polynomialsDuke Mathematical Journal, 1948