Degenerate Two Variable q-Bernoulli and q-Euler Polynomials
Indian Journal of Pure and Applied Mathematics, vol.57, no.4, pp.1459-1471, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 57 Issue: 4
- Publication Date: 2026
- Doi Number: 10.1007/s13226-025-00864-9
- Journal Name: Indian Journal of Pure and Applied Mathematics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
- Page Numbers: pp.1459-1471
- Keywords: Bernoulli polynomials, Degenerate Bernoulli polynomials, Degenerate Euler polynomials, Degenerate two variable q -Bernoulli polynomials, Degenerate two variable q-Euler polynomials, Euler polynomials, q-Bernoulli polynomials, q-Euler polynomials, Two variable q-Bernoulli polynomials, Two variable q-Euler polynomials
- Akdeniz University Affiliated: Yes
Abstract
In recent years, many mathematicians ([3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14–15, 19, 20, 21, 22, 23–24]) studied the q-Bernoulli polynomials, q-Euler polynomials and q -Genocchi polynomials. In this paper, we introduce and investigate degenerate two variable q-Bernoulli polynomials and degenerate two variable q-Euler polynomials. We give some relations including connection formulas, recurrence formulas and correlations for these polynomials.