A new class of generalized Genocchi polynomials

2012/02/01 by Nazım I. Mahmudov, Mahmudov, Nazim I.
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1202.0219

openalex publication_date 2012/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main purpose of this paper is to introduce and investigate a new class of generalized Genocchi polynomials based on the q-integers. The q-analogues of well-known formulas are derived. The q-analogue of the Srivastava--Pintér addition theorem is obtained.

Citations

• Lecture notes for an introductory minicourse on q-series

Related

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