Degenerate Two Variable q-Bernoulli and q-Euler Polynomials

KURT B., Kurt V.

Indian Journal of Pure and Applied Mathematics, 2025 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s13226-025-00864-9
  • Dergi Adı: Indian Journal of Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Anahtar Kelimeler: 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 Üniversitesi Adresli: Evet

Özet

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.