The Journal of the Indian Mathematical Society

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A Generalization of Class of Humbert - Hermite Polynomials


Affiliations
1 Department of Mathematics, Institute of Applied Sciences, Amity University, Noida, India
2 Department of Mathematics, Siddharth University, Kapilvastu, India Siddharth Nagar, India
     

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A generalization of Humbert-Hermite polynomials is defined in this paper. Moreover, several generalizations of Hermite-Gegenbauer polynomials, Hermite-Legendre and Hermite-Chebyshev polynomials are established.


Keywords

Hermite Polynomials, Humbert Polynomials, Gegenbauer Polynomials, Legendre Polynomials, Chebyshev Polynomials, Hypergeometric Function.
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  • A Generalization of Class of Humbert - Hermite Polynomials

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Authors

Saniya Batra
Department of Mathematics, Institute of Applied Sciences, Amity University, Noida, India
Prakriti Rai
Department of Mathematics, Siddharth University, Kapilvastu, India Siddharth Nagar, India

Abstract


A generalization of Humbert-Hermite polynomials is defined in this paper. Moreover, several generalizations of Hermite-Gegenbauer polynomials, Hermite-Legendre and Hermite-Chebyshev polynomials are established.


Keywords


Hermite Polynomials, Humbert Polynomials, Gegenbauer Polynomials, Legendre Polynomials, Chebyshev Polynomials, Hypergeometric Function.

References





DOI: https://doi.org/10.18311/jims%2F2022%2F25345