Certain Expansions of Sylvester Polynomials in terms of Cesaro Polynomials, Bernoulli Polynomials, Bateman’s Polynomials and Generalized Bessel Polynomials

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Priyanka Srivastava
SAMEER KUMAR RAIZADA

Abstract

In the present note, the authors have obtained certain expansions of Sylvester polynomials Ψ

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Certain Expansions of Sylvester Polynomials in terms of Cesaro Polynomials, Bernoulli Polynomials, Bateman’s Polynomials and Generalized Bessel Polynomials. J. Int. Acad. Phys. Sci. [Internet]. 2023 Dec. 15 [cited 2026 Oct. 23];27(4):317-23. Available from: http://www.iaps.org.in/journal/index.php/journaliaps/article/view/1008

References

E. D. Rainville, Special Functions, Macmillan; New York, (1960).

A. K. Agarwal, On some new generating functions, Matematicki Vesnik, 4 (1980), 395-402.

H. M. Srivastava and P. W. Karlsson, Multi Gaussian Hypergeometric Series, Halsted Press (Ellis Horwood Limited, Chichester); John Wiley and Sons, New York, (1985).

N. Ozmen and E. Erkus-Duman, Some families of generating functions for the Generalized Cesaro polynomials, Journal of Computational Analysis and Applications, 25 (2018), 670-683.

Pierpaolo Natalini and Angela Bernardini, A Generalization of the Bernoulli polynomials, Journal of applied mathematics, 2003:3 (2003), 155-163. https://doi.org/10.1155/S1110757X03204101

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