A NOTE ON GENOCCHI-ZETA FUNCTIONS
نویسندگان
چکیده
منابع مشابه
On the Hurwitz-type q-Genocchi Zeta Functions and q-Genocchi Polynomials
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In [2], we introduced the q-Genocchi numbers and polynomials with weak weight α. In this paper, we investigate some properties which are related to q-Genocchi numbers G (α) n,q and polynomials G (α) n,q (x) with weak weight α.
متن کاملA Note on Absolute Derivations and Zeta Functions
This note answers a question raised by Kurokawa, Ochiai and Wakayama, whether a certain operator constructed using a notion of quantum non-commutativity of primes has eigenvalues related to the Riemann zeta zeros.
متن کاملA note on degenerate Changhee-Genocchi polynomials and numbers
In this paper, we consider the degenerate Changhee-Genocchi polynomials and numbers, and give some identities for these numbers and polynomials. AMS subject classification: 11B68, 11S40, 11S80.
متن کاملA Note on the q-Genocchi Numbers and Polynomials
have numerous important applications in number theory, combinatorics, and numerical analysis, among other areas, [1–13]. It is easy to find the values G1 = 1, G3 = G5 = G7 = ··· = 0, and even coefficients are given by G2m = 2(1− 2)B2n = 2nE2n−1(0), where Bn is a Bernoulli number and En(x) is an Euler polynomial. The first few Genocchi numbers for n= 2,4, . . . are −1,−3,17,−155,2073, . . . . Th...
متن کاملq-HARDY-BERNDT TYPE SUMS ASSOCIATED WITH q-GENOCCHI TYPE ZETA AND l-FUNCTIONS
Abstract. The aim of this paper is to define new generating functions. By applying the Mellin transformation formula to these generating functions, we define q-analogue of Genocchi zeta function, q-analogue Hurwitz type Genocchi zeta function, q-analogue Genocchi type l-function and two-variable qGenocchi type l-function. Furthermore, we construct new genereting functions of q-Hardy-Berndt type...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Honam Mathematical Journal
سال: 2009
ISSN: 1225-293X
DOI: 10.5831/hmj.2009.31.3.399