Explicit properties of q-Cosine and q-Sine Fubini-type polynomials and numbers

  • Waseem Ahmad Khan Prince Mohammad Bin Fahd University
  • Manoj Sharma

Abstract

In recent years, q-special polynomials, such as q-Bernoulli, q-Genocchi, q-Euler and q-FrobeniusGenocchi have been studied and investigated by many mathematicians, as well physicists. It is important that any polynomials have explicit formulas, symmetric identities, summation formulas, and relations with other polynomials. In this work, the q-Cosine and q-Sine Fubini type polynomials are introduced and multifarious above mentioned properties for these polynomials are derived by utilizing some series manipulation methods. Moreover, several correlations related to both the q-Bernoulli, q-Euler, and q-Genocchi polynomials and the q-Stirling numbers of the second kind.

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Published
2025-12-20
Section
Conf. Issue: Advances in Nonlinear Analysis and Applications