Some Properties of the Bell-Based Apostol-Frobenius-Type Tangent Polynomials

In this paper, we introduce a new class of Frobenius-Tangent polynomials, derived from the Bell numbers and Apostol-type functions. We conduct a detailed investigation into the properties of these polynomials, utilizing various analytical techniques. By employing generating functions for Bell-based Apostol-Frobenius-Type Tangent polynomials of higher order, we obtain both explicit and implicit summation formulas and its relation to Appell polynomials.

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Publication Details

Journal
European Journal of Pure and Applied Mathematics
Published
2025-02-01
DOI
https://doi.org/10.29020/nybg.ejpam.v18i1.5559
Primary Topic
Advanced Combinatorial Mathematics
Type
article
Field-Weighted Citation Impact
0.00
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article

Some Properties of the Bell-Based Apostol-Frobenius-Type Tangent Polynomials

Joris N. Buloron, Jay M. Ontolan, Jeneveb T. Malusay, Edward Kiunisala
European Journal of Pure and Applied Mathematics
Advanced Combinatorial Mathematics
article

Some Properties of the Bell-Based Apostol-Frobenius-Type Tangent Polynomials

Joris N. Buloron, Jay M. Ontolan, Jeneveb T. Malusay, Edward Kiunisala
article en

Abstract

In this paper, we introduce a new class of Frobenius-Tangent polynomials, derived from the Bell numbers and Apostol-type functions. We conduct a detailed investigation into the properties of these polynomials, utilizing various analytical techniques. By employing generating functions for Bell-based Apostol-Frobenius-Type Tangent polynomials of higher order, we obtain both explicit and implicit summation formulas and its relation to Appell polynomials.

European Journal of Pure and Applied MathematicsVol. 18(1)
Cebu Normal University (PH)
Openalex Percentile: Top 96%
Advanced Combinatorial Mathematics
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