Certain properties on Bell-based Apostol-type Frobenius-Genocchi polynomials of complex variable

Volume 33, Issue 4, pp 326--338 https://dx.doi.org/10.22436/jmcs.033.04.01

Publication Date: January 24, 2024 Submission Date: November 12, 2023 Revision Date: November 18, 2023 Accteptance Date: December 05, 2023

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Authors

A. Al edamat - Department of Mathematics, Faculty of Science, Al-Hussein Bin Talal University, P.O. Box 20, Maan, Jordan. W. A. Khan - Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia. C. S. Ryoo - Department of Mathematics, Hannam University, Daejeon 34430, Republic of Korea.

Abstract

In this study, we introduce sine and cosine Bell-based Frobenius-type Genocchi polynomials, and by presenting several relations and applications, we analyze certain properties. Our first step is to obtain diverse relations and formulas that cover summation formulas, addition formulas, relations with earlier polynomials in the literature, and differentiation rules. Finally, after determining the first few zero values of the Frobenius-type Genocchi polynomials, we draw graphical representations of these zero values.

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Keywords

• Bell polynomials
• Apostol-type Frobenius-Genocchi polynomials
• Bell-based Apostol-type Frobenius-Genocchi polynomials

MSC

•  11B68
•  33C45
•  11S40
•  11S80

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