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2017•University of Aden Journal of Natural and Applied SciencesOpen access

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

Fadhle B. F. Mohsen, Mubarak A. H. Alqufail, Fadhl S. N. Alsarahi

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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.

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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.

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Available 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.

Key concepts: Laguerre polynomials, Laguerre's method, Orthogonal polynomials, Mathematics, Classical orthogonal polynomials, Discrete orthogonal polynomials, Hahn polynomials, Wilson polynomials

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