University of Aden Journal of Natural and Applied Sciences Logo
UAJNAS thumbnail English

E-ISSN: 2788-9327

P-ISSN: 1606-8947

Vol. 21 No. 2 (2017)

q-Analogue modified Laguerre and generalized modified Laguerre Polynomials of One Variable

  • Fadhle B.F. Mohsen Department of Mathematics, Faculty of Education, Aden University, Aden, Yemen
  • Mubarak A. H. Alqufail Department of Mathematics, Faculty of Education, Aden University, Aden, Yemen
  • Fadhl S. N. Alsarahi Department of Mathematics, Faculty of Education, Aden University, Aden, Yemen

University of Aden Journal of Natural and Applied Sciences, Vol. 21 No. 2 (2017), 31-08-2017 Page 325-335

DOI:

https://doi.org/10.47372/uajnas.2017.n2.a11

Abstract

The q-Laguerre polynomials are important q-orthogonal polynomials whose applications and generalizations arise in many applications such as quantumgroup (oscillator algebra, etc.), q-harmonic oscillator and coding theory. In this paper, we introduce the q-analogue modified Laguerre polynomials and generalized modified Laguerre polynomials of one variable. Some recurrence relations and q-Laplace transforms for these polynomials are derived.

Keywords:
    q-analogue modified Laguerre polynomials, generating functions, recurrence relations, q-Laplace transforms

How to Cite

Mohsen, F. B., Alqufail, M. A. H., & Alsarahi, F. S. N. (2017). q-Analogue modified Laguerre and generalized modified Laguerre Polynomials of One Variable. University of Aden Journal of Natural and Applied Sciences, 21(2), 325–335. https://doi.org/10.47372/uajnas.2017.n2.a11
  • Abstract Viewed: 62 times
  • Pdf Downloaded: 37 times

Download Statastics

ISSN

Language

INDEXED BY

google_scholar

Information

Current Issue