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Author

A. Bayad

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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 · 0 citations
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 · 0 citations

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