Abstract
A generalization of Humbert-Hermite polynomials is de?ned in this paper. Moreover, several generalizations of Hermite-Gegenbauer polynomials, Hermite-Legendre and Hermite-Chebyshev polynomials are established.
Publisher
Informatics Publishing Limited
Reference12 articles.
1. E. T. Bell, Exponential polynomials, Ann. of Math., 35(1934), 258-277.
2. A. Chaturvedi, and Rai, P., Generalized Hermite-based Apostol-Bernoulli, Euler, Genocchi polynomials and their relations, Journal of Indian Mathematical Society, 87(1-2)(2020), 9-21.
3. J. Choi, Notes on formal manipulations ofdouble series, Commun. Korean Math. Soc., 18(4) (2003), 781-789.
4. Dattoli G., Germano B. and Ricci P. E., Hermite polynomials with more than two variables and associated bi-orthogonal functions, Integral Transforms and Special Functions, 20(1) (2009), 17-22.
5. G. Dattoli, S. Lorenzutta and C. Cesarano, Finite sums and generalized forms of Bernoulli polynomials, Rendiconti di Mathematica, 19(1999), 385–391.