EXPLORING TYPE 2 FROBENIUS-TYPE POLY-EULER POLYNOMIALS

In this paper, we introduce a class of polynomials called type 2 poly-Frobenius-Euler polynomials, defined using the polyexponential function. We derive explicit expressions and identities for these polynomials and explore their connections with Stirling numbers of the first and second kinds. Additionally, we introduce type 2 unipoly-poly-Frobenius-Euler polynomials using the unipoly function and examine various properties, including derivatives and integrals. Furthermore, we establish a link between the unipoly-Frobenius-Euler polynomials and the classical Frobenius-Euler polynomials.

Authors

Publication Details

Journal
Journal of Inequalities and Special Functions
Published
2024-12-30
DOI
https://doi.org/10.54379/jiasf-2024-4-1
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
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article

EXPLORING TYPE 2 FROBENIUS-TYPE POLY-EULER POLYNOMIALS

Cristina B. Corcino, Roberto B. Corcino, Waseem Ahmad Khan
Journal of Inequalities and Special Functions
Advanced Mathematical Identities
article

EXPLORING TYPE 2 FROBENIUS-TYPE POLY-EULER POLYNOMIALS

Cristina B. Corcino, Roberto B. Corcino, Waseem Ahmad Khan
article en

Abstract

In this paper, we introduce a class of polynomials called type 2 poly-Frobenius-Euler polynomials, defined using the polyexponential function. We derive explicit expressions and identities for these polynomials and explore their connections with Stirling numbers of the first and second kinds. Additionally, we introduce type 2 unipoly-poly-Frobenius-Euler polynomials using the unipoly function and examine various properties, including derivatives and integrals. Furthermore, we establish a link between the unipoly-Frobenius-Euler polynomials and the classical Frobenius-Euler polynomials.

Journal of Inequalities and Special FunctionsVol. 15(4)
Openalex Percentile: Top 55%
Advanced Mathematical Identities
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