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

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.

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Publication Details

Journal
Gazi University Journal of Science Part A Engineering and Innovation
Published
2024-12-29
DOI
https://doi.org/10.54287/gujsa.1584764
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
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article

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

Yılmaz Şimşek, Damla Gün
Gazi University Journal of Science Part A Engineering and Innovation
Advanced Mathematical Identities
article

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

Yılmaz Şimşek, Damla Gün
article en

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.

Gazi University Journal of Science Part A Engineering and InnovationVol. 11(4)
Akdeniz University (TR)
Openalex Percentile: Top 57%
Advanced Mathematical Identities
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Formulas and Finite Sums Covering Beta-type Rational Functions and Euler-Frobenius-type Polynomials — Yılmaz Şimşek, Damla Gün · Gazi University Journal of Science Part A Engineering and Innovation (2024) | TGRS Research Map | TGRS