arXiv subjects

S. Mboutngam

Publications and source records attributed to S. Mboutngam.

3 recordsLinked to original sources

arXiv2018

On multiple $Δ_ω$-Appell polynomials

In this paper, we give a generating function for Multiple Charlier polynomials and deduce several consequences for these polynomials as invertion formula, connection formula, addition formula and recurrences relations they satisfy. Next, we introduce the notion of multiple $Δ_ω$ polynomials and prove several equivalent conditions for this class of polynomials. Also, we give a characterization theorem that if multiple $Δ_1$ polynomials are also multiple orthogonal, then they are the multiple Charlier polynomials.

math.CA↗

arXiv2016

On fractional $q$-extensions of some $q$-orthogonal polynomials

Fractional $q$-extensions of some classical $q$-orthogonal polynomials are introduced and some of the main properties of the new defined functions are given. Next, a fractional $q$-difference equation of Gauss type is introduced and solved by means of power series method.

math.CA↗

arXiv2016

Continuous and discrete fractional operators and some fractional functions

The classical orthogonal polynomials are usually defined by the Rodrigues' formula. This paper refers to a fractional extension of the classical Hermite, Laguerre, Jacobi, Charlier, Meixner, Krawtchouk and Hahn polynomials. By means of the Caputo operator of fractional calculus, C-Hermite, C-Laguerre, C-Legndre and the C-Jacobi functions are defined and their representation in terms of the hypergeometric functions are provided. Also, by means of the Gray and Zhang fractional difference oparator, fractional Charlier, Meixner, Krawtchouk and Hahn functions are defined and their representation in terms of the hypergeometric functions are provided. Some other properties of the new defined functions are given.

math.CA↗