On Fractional q-Extensions of Some q-Orthogonal Polynomials

Autor:	S. Mboutngam, P. Njionou Sadjang
Rok vydání:	2020
Předmět:	Power series Pure mathematics Logic Gaussian Q-fractional calculus Q-hypergeometric functions Q-orthogonal polynomials fractional q-difference equations 010103 numerical & computational mathematics Type (model theory) 01 natural sciences symbols.namesake Operator (computer programming) 0101 mathematics Mathematical Physics Mathematics Algebra and Number Theory lcsh:Mathematics 010102 general mathematics lcsh:QA1-939 Orthogonal polynomials symbols Computer Science::Programming Languages Geometry and Topology Analysis
Zdroj:	Axioms; Volume 9; Issue 3; Pages: 97 Axioms, Vol 9, Iss 97, p 97 (2020)
ISSN:	2075-1680
DOI:	10.3390/axioms9030097
Popis:	In this paper, we introduce a fractional q-extension of the q-differential operator Dq−1 and prove some of its main properties. Next, fractional q-extensions of some classical q-orthogonal polynomials are introduced and some of the main properties of the newly-defined functions are given. Finally, a fractional q-difference equation of Gaussian type is introduced and solved by means of the power series method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40a2a45be76270f64b3a14183d3a9e80 https://doi.org/10.3390/axioms9030097 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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