On a class of q-Bernoulli, q-Euler and q-Genocchi polynomials

2014/01/18 by N. I. Mahmudov, Mahmudov, N. I., M. Momenzadeh +1
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA

paper · pdf · doi:10.48550/arxiv.1401.4560

arxiv created 2014/01/18 · arxiv updated 2014/01/21

Abstract

The main purpose of this paper is to introduce and investigate a class of q-Bernoulli, q-Euler and q-Genocchi polynomials. The q-analogues of well-known formulas are derived. The q-analogue of the Srivastava--Pintér addition theorem is obtained. Some new identities involving q-polynomials are proved.

Related

• A new class of generalized Bernoulli polynomials and Euler polynomials
• A new class of generalized Genocchi polynomials
• A note on the q-Genocchi numbers and polynomials
• New approach to q-Genocch, Euler numbers and polynomials and their interpolation functions
• q-Euler and Genocchi numbers