Author

Yılmaz Şimşek

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Open access Sep 2026

Identities Arising from a Certain Family of Special Combinatorial Numbers and Polynomials

The results obtained in this paper extend several identities and interpolation formulas previously established for the numbers y9,n(λ;a) to the higher-order case. We derive several explicit formulas, identities, and recurrence-type relations, and establish connections with well-known families of special numbers and pol...

Damla Gun, A. Bayad, Yılmaz Şimşek · Mathematics · 0 citations

Open access Sep 2026

Certain families of series involving Hurwitz and Lerch zeta functions

This paper deals with a certain family of series which is derived from generating functions of the Frobenius-Euler and Apostol type polynomials and numbers. When special cases of this series are examined, it is shown that it generates some well-known families of zeta functions, such as the Hurwitz zeta and the Lerch ze...

Dora Pokaz, Mihaela Ribicic-Penava, Yılmaz Şimşek · RACSAM · 1 citation

Open access Sep 2026

Multiplication and Inversion Formulas for Higher-Order Lerch Zeta Functions with Polynomial Coefficients

We consider the N-tuple Hurwitz-Lerch zeta function introduced by Srivastava and Choi, ζN(s,x,λ)=∑k1,…,kN≥0λk1+⋯+kN(x+k1+⋯+kN)s, where N is a positive integer and λ is a complex parameter. A central breakthrough in this work is the explicit reduction of the N-tuple function to a linear combination of single Lerch trans...

Damla Gun, A. Bayad, Yılmaz Şimşek · Mathematics · 0 citations