On q-Analogue of Two-index and Two-Variable Generalized Hermite Polynomials

Authors

Abstract

In this paper, we introduce the q-analogue of two-index and two-variable generalized Hermite polynomials. The recurrence relations and Rodrigue's formula for this polynomials are derived.

Downloads

Download data is not yet available.

Author Biography

  • Fadhle B.F. Mohsen, University of Aden

    Department of Mathematics, Faculty of Education, Aden University, Aden, Yemen.

     

References

1- Chihara, T.S., 1978, An Introduction to Orthogonal Polynomials, Gordon and

Breach, New York.

2- Cigler, J. , 1979, Operator methoden fur q-identitaten, Monatsheffe fur Mathematik

88 87–105.

3- Cigler, J. , 1982, Elementare q-identitaten Publication de l’institute de recherche

Mathematique avancee 23–57.

4- Djordjevi´c G.B. and Milovanovi´c, G.V., 1993, Polynomials related to the generalized Hermite polynomials Facta Univ. Niˇs, Ser. Math. Inform. 8 ,35–43.

5- Koekoek, R. and Swarttouw, R.F.,1998, The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue, Delft University of Technology, Report17.

6- Purohit, S.D. and Raina, R.K.,2010, Generalized q-Taylor's series and applications, General Mathematics Vol.18, No. 3, 19-28.

7- Rajkovic', P. and Marinkovic', S., 2001, On Q-analogies of generalized Hermite’s polynomials , Presented at the IMC.

8- Shrivastava, H.S.P., Multiindex Multivariables Hermite polynomials, Math. of Comp. Appl. Vol.7(2), (2002), 139-149.

Downloads

Published

2026-07-28

Issue

Section

Articles

How to Cite

On q-Analogue of Two-index and Two-Variable Generalized Hermite Polynomials. (2026). Journal of the Faculties of Education - University of Aden, 15(1). https://journals.aden-univ.net/index.php/Jef/article/view/116