In the present article, we introduce a new class of degenerate $q$-poly-Genocchi polynomials and numbers including $q$-logarithm function. We derive some relations with this polynomials and the Stirling numbers of the second kind and investigate some symmetric identities using special functions that are involving these polynomials.
Keywords and Phrases
Degenerate $q$-poly-Genocchi polynomials, Stirling numbers, $q$-logarithm function, Symmetric identities.
A.M.S. subject classiﬁcation
05A10, 05A15, 11B68, 11B73.