Abstract
The essential aim of this paper is to introduce novel identities forq-Genocchi numbers and polynomials by using the method by T. Kim et al. (article in press). We show that these polynomials are related top-adic analogue of Bernstein polynomials. Also, we derive relations betweenq-Genocchi andq-Bernoulli numbers.
Highlights
The essential aim of this paper is to introduce novel identities for q-Genocchi numbers and polynomials by using the method by T
We show that these polynomials are related to p-adic analogue of Bernstein polynomials
We start with definition of the following notations
Summary
The essential aim of this paper is to introduce novel identities for q-Genocchi numbers and polynomials by using the method by T. We show that these polynomials are related to p-adic analogue of Bernstein polynomials. We derive relations between qGenocchi and q-Bernoulli numbers. Imagine that p be a fixed odd prime number. Let Qp be the field p-adic rational numbers and let Cp be the completion of algebraic closure of Qp. Qp x anpn : 0 ≤ an < p.
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