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Analysis of Bell Based Euler Polynomials and Their Application

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Abstract

In the present article, we study Bell based Euler polynomials of order \(\alpha \) and investigate some correlation formula, summation formula and derivative formula. Also, we introduce some relations of Stirling numbers of the second kind. Moreover, we derive several important formulae of Bell based Euler polynomials by using umbral calculus.

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Acknowledgements

The authors express their deep gratitude to the anonymous referees for their critical comments and suggestions to improve this paper to its current form.

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Authors and Affiliations

  1. Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh, 202002, India

    Nabiullah Khan & Saddam Husain

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  1. Nabiullah Khan
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  2. Saddam Husain
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All authors contributed equally to this manuscript.

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Correspondence to Nabiullah Khan.

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Khan, N., Husain, S. Analysis of Bell Based Euler Polynomials and Their Application. Int. J. Appl. Comput. Math 7, 195 (2021). https://doi.org/10.1007/s40819-021-01127-x

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