q−extensions for the U−Bernoulli and U−Euler polynomials
Year: 2026
Type: article
Abstract: This paper defines the q−U−Bernoulli, q−U−Euler polynomials and numbers and obtains some of their feature relations. We also explore the q−U−Bernoulli polynomials Ms (γ, q) , Rogers-Szegö polynomials Hs (γ, q) and the q−Bernoulli numbers Bs (q) are related via some connection formulas. Further, we define various properties for the q−extensions U−Bernoulli and U−Euler polynomials like generating functions, q−partial derivatives and summation relations.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7147547579