New approach to q-Genocch, Euler numbers and polynomials and their interpolation functions

2009/01/04 by Taekyun Kim, Kim, Taekyun
Mathematics · #11B68 #11S80 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B68 #msc:11S80

paper · pdf · doi:10.48550/arxiv.0901.0353

8 pages

arxiv created 2009/01/04 · arxiv updated 2009/12/01

Abstract

We give a new construction of q-Genocchi numbers, Euler numbers of higher order, which are different than the q-Genocchi numbers of Cangul-Ozden-Simsek. By using our q-Genoucchi, Euler nimbers of higher order, we can investigate the interesting relationship between w-q-Euler polynomials and w-q-Genocchi polynomials.

Related

• A note on the q-Genocchi numbers and polynomials
• q-Euler and Genocchi numbers
• Note on the generalization of the higher order q-Genocchi numbers and q-Euler numbers
• On a class of q-Bernoulli, q-Euler and q-Genocchi polynomials
• A family of generalized q-Genocchi numbers and polynomials