Abstract
In 2007 and 2008, Kim constructed the -extension of Euler and Genocchi polynomials of higher order and Choi-Anderson-Srivastava have studied the -extension of Euler and Genocchi numbers of higher order, which is defined by Kim. The purpose of this paper is to give the distribution of extended higher-order -Euler and -Genocchi polynomials.
Highlights
The Euler numbers En and polynomials En x are defined by the generating function in the complex number field as 2 et 1
The Bernoulli numbers Bn and polynomials Bn x are defined by the generating function as t et − 1
When one talks of q-extension, q is variously considered as an indeterminate, a complex number q ∈ C or a p-adic number q ∈ Cp
Summary
In 2007 and 2008, Kim constructed the q-extension of Euler and Genocchi polynomials of higher order and Choi-Anderson-Srivastava have studied the q-extension of Euler and Genocchi numbers of higher order, which is defined by Kim. The purpose of this paper is to give the distribution of extended higher-order q-Euler and q-Genocchi polynomials.
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