Open Access
Subscription Access
Open Access
Subscription Access
A Generalization of Class of Humbert - Hermite Polynomials
Subscribe/Renew Journal
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.
Subscription
Login to verify subscription
User
Font Size
Information
- E. T. Bell, Exponential polynomials, Ann. of Math., 35(1934), 258-277.
- 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.
- J. Choi, Notes on formal manipulations ofdouble series, Commun. Korean Math. Soc., 18(4) (2003), 781-789.
- 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.
- G. Dattoli, S. Lorenzutta and C. Cesarano, Finite sums and generalized forms of Bernoulli polynomials, Rendiconti di Mathematica, 19(1999), 385–391.
- G. B. Djordjevi´c, A generalization of Gegenbauer polynomial with two variables, Indian J. Pure Appl. Math., (To appear).
- T. Kim, j. Choi, Y. H. Kim and C. S. Ryoo, On q-Bernstein and q-Hermite polynomials, Proc. Jangjeon Math. Soc., 14(A202) (2011), 215–221.
- G. V. Milovanovi´c and G. B. Djordjevi´c, On some properties of Humberts polynomials-I, Fibonacci Quart., 25(1987), 356–360.
- M. A. Pathan and M. A. Khan, On polynomials associated with Humberts polynomials, Publ. Inst. Math., (Beograd), 62(76) (1997), 53–62.
- M. A. Pathan and N. U. Khan, A uni?ed presentation of a class of generalized Humbert Polynomials in two variables, ROMAI J., 11(2) (2015), 185–199.
- M. A. Pathan and W. Khan, On a class of Humbert-Hermite polynomials, Novi Sad J. Math., 51(1) (2021), 1–11.
- Y. Simsek and M. Acikgoz, A new generating function of (q?)Bernstein-type polynomials and their interpolation function, Abstract and Applied Analysis, 2010 (2010), Article ID 769095, 12 Pages.
Abstract Views: 192
PDF Views: 0