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Certain properties of 3D degenerate generalized Fubini polynomials and applications

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Abstract

A renewed interest in combinatorial and arithmetic properties as well as applications to differential equations, identities, formulas, and probability theory has been sparked by the study of degenerate versions of several specific numbers and polynomials. The article aims to explore a 3D unified degenerate class of generalized Fubini polynomials by utilizing 2D generalized degenerate polynomials. The potential of applications are provided by deriving certain computational formulas and identities,recurrence relations and derivative expressions for the 3D degenerated Gould–Hopper–Fubini, 3D degenerate Hermite-Fubini and 3D degenerate 2-iterated Fubini polynomials, which are extracted out of the 3D degenerate generalized Fubini polynomials. Finally, the behaviour of zeros of two concrete degenerate polynomials with some specific set of parameters is shown by drawing graphs using Mathematica

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Acknowledgements

The authors extend their appreciation to Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia, for funding this research under the Researchers Supporting Project (No. PNURSP2022R231). The authors are also thankful to the anonymous referees for their fruitful comments and suggestions.

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Authors and Affiliations

  1. Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh, India

    Mumtaz Riyasat

  2. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia

    Amal S. Alali

  3. Department of Mathematics, Aligarh Muslim University, Aligarh, India

    Subuhi Khan

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  1. Mumtaz Riyasat
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  2. Amal S. Alali
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  3. Subuhi Khan
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Correspondence to Mumtaz Riyasat.

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Riyasat, M., Alali, A.S. & Khan, S. Certain properties of 3D degenerate generalized Fubini polynomials and applications. Afr. Mat. 35, 47 (2024). https://doi.org/10.1007/s13370-024-01187-4

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