Formulas and Finite Sums Covering Beta-type Rational Functions and Euler-Frobenius-type Polynomials

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Gün D., Şimşek Y.

Gazi University Journal of Science Part A: Engineering and Innovation, vol.11, no.4, pp.792-800, 2024 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 11 Issue: 4
• Publication Date: 2024
• Doi Number: 10.54287/gujsa.1584764
• Journal Name: Gazi University Journal of Science Part A: Engineering and Innovation
• Journal Indexes: TR DİZİN (ULAKBİM)
• Page Numbers: pp.792-800
• Akdeniz University Affiliated: Yes

Abstract

The aim of this article is to derive some novel formulas and finite sums covering Stirling type numbers, the Frobenius Euler numbers and polynomials, the beta-type rational functions, and combinatorial numbers with the help of both generating functions and their functional equations, and also some special identities associated with special numbers and polynomials.