On some extensions for degenerate Frobenius-Euler-Genocchi polynomials with applications in computer modeling

In this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials utilizing the degenerate logarithm function. Then, we analyze some summation and addition formulas for these po...

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Bibliographic Details
Main Authors: Waseem Ahmad Khan, Ugur Duran, Jihad Younis, Cheon Seoung Ryoo
Format: Article
Language:English
Published: Taylor & Francis Group 2024-12-01
Series:Applied Mathematics in Science and Engineering
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/27690911.2023.2297072
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Summary:In this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials utilizing the degenerate logarithm function. Then, we analyze some summation and addition formulas for these polynomials. In addition, we derive some correlations with degenerate Stirling numbers of both kinds and degenerate Frobenius-Euler polynomials. Moreover, we present difference and derivative operator rules for the generalized degenerate Frobenius-Euler-Genocchi polynomials. Lastly, we show certain zeros of both the degenerate Frobenius-Euler-Genocchi polynomials and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials and provide their beautifully graphical representations.
ISSN:2769-0911