A determinant approach for generalized q-Bernoulli polynomials and asymptotic results
Abstract
In earlier work, we introduced three families of polynomials where the generating function of each set includes one of the three Jackson $q$-analogs of the Bessel function. This paper gives determinant representation for each family, their large $n $ asymptotics, and two expansion theorems for specific classes of entire functions. We include two examples.
Fields of Study & Subjects
Advanced Mathematical Identities
Mathematical functions and polynomials
Analytic Number Theory Research
Publication details
- Journal / source
- Journal of the Egyptian Mathematical Society
- Volume
- 34
- Issue
- 2
- Pages
- 31–82
- Publication date
- 24 June 2026
- Language
- EN