Unified presentation of p-adic L-functions associated with unification of the special numbers

Autor:	Hacer Ozden, Yilmaz Simsek
Rok vydání:	2014
Předmět:	Discrete mathematics Polylogarithm Recurrence relation Particular values of Riemann zeta function Mathematics::Number Theory General Mathematics Bernoulli polynomials Riemann zeta function symbols.namesake Digamma function Multiplication theorem symbols Bernoulli number Mathematics
Zdroj:	Acta Mathematica Hungarica. 144:515-529
ISSN:	1588-2632 0236-5294
DOI:	10.1007/s10474-014-0446-9
Popis:	By using partial differential equations (PDEs) of the generating functions for the unification of the Bernoulli, Euler and Genocchi polynomials and numbers, we derive many new identities and recurrence relations for these polynomials and numbers. In [33], Srivastava et al. defined a unified presentation of certain meromorphic functions related to the families of the partial zeta type functions. By using these functions, we construct p-adic functions which are related to the partial zeta type functions. By applying these p-adic function, we construct unified presentation of p-adic L-functions. These functions give us generalization of the Kubota–Leopoldt p-adic L-functions, which are related to the Bernoulli numbers and the other p-adic L-functions, which are related to the Euler numbers and polynomials. We also give some remarks and comments on these functions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c5a378e94409027e1dbfc67b6d2d3e4b https://doi.org/10.1007/s10474-014-0446-9 Zobrazit plný text záznamu Plný text ve formátu PDF