A NOTE ON THE q-ANALOGUE OF KIM'S p-ADIC log GAMMA TYPE FUNCTIONS ASSOCIATED WITH q-EXTENSION OF GENOCCHI AND EULER NUMBERS WITH WEIGHT α

Title & Authors
A NOTE ON THE q-ANALOGUE OF KIM'S p-ADIC log GAMMA TYPE FUNCTIONS ASSOCIATED WITH q-EXTENSION OF GENOCCHI AND EULER NUMBERS WITH WEIGHT α
Araci, Serkan; Acikgoz, Mehmet; Park, Kyoung Ho;

Abstract
In this paper, we introduce the $\small{q}$-analogue of $\small{p}$-adic log gamma functions with weight alpha. Moreover, we give a relationship between weighted $\small{p}$-adic $\small{q}$-log gamma functions and $\small{q}$-extension of Genocchi and Euler numbers with weight alpha.
Keywords
modified q-Genocchi numbers with weight alpha and beta;modified q-Euler numbers with weight alpha and beta;p-adic log gamma functions;
Language
English
Cited by
1.
A New Family of q-analogue of Genocchi Numbers and Polynomials of Higher Order,;;;

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q-DEDEKIND-TYPE DAEHEE-CHANGHEE SUMS WITH WEIGHT α ASSOCIATED WITH MODIFIED q-EULER POLYNOMIALS WITH WEIGHT α,;;;

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1.
q-DEDEKIND-TYPE DAEHEE-CHANGHEE SUMS WITH WEIGHT α ASSOCIATED WITH MODIFIED q-EULER POLYNOMIALS WITH WEIGHT α, Journal of the Chungcheong Mathematical Society, 2014, 27, 1, 1
2.
A New Family of q-analogue of Genocchi Numbers and Polynomials of Higher Order, Kyungpook mathematical journal, 2014, 54, 1, 131
3.
Extended q-Dedekind-type Daehee-Changhee sums associated with extended q-Euler polynomials, Advances in Difference Equations, 2015, 2015, 1
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