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Bull. Korean Math. Soc. 2013; 50(2): 583-588

Printed March 31, 2013

https://doi.org/10.4134/BKMS.2013.50.2.583

Copyright © The Korean Mathematical Society.

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 $\alpha $

Serkan Arac\i, Mehmet Acikgoz, and Kyoung Ho Park

University of Gaziantep, University of Gaziantep, Kwangwoon University

Abstract

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In this paper, we introduce the $q$-analogue of $p$-adic log \linebreak gamma functions with weight alpha. Moreover, we give a relationship between weighted $p$-adic $ q$-log gamma functions and $q$-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

MSC numbers: Primary 46A15; Secondary 41A65

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