On fractional $q$-extensions of some $q$-orthogonal polynomials
P. Njionou Sadjang, S. Mboutngam
TL;DR
This paper introduces fractional $q$-extensions of classical $q$-orthogonal polynomials, explores their properties, and solves a related fractional $q$-difference equation using power series methods.
Contribution
It presents novel fractional $q$-extensions of classical polynomials and solves a new fractional $q$-difference equation, expanding the theory of $q$-orthogonal polynomials.
Findings
Fractional $q$-extensions of classical polynomials are defined.
Main properties of the new functions are established.
A fractional $q$-difference equation of Gauss type is solved.
Abstract
Fractional -extensions of some classical -orthogonal polynomials are introduced and some of the main properties of the new defined functions are given. Next, a fractional -difference equation of Gauss type is introduced and solved by means of power series method.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical functions and polynomials · Fractional Differential Equations Solutions · Iterative Methods for Nonlinear Equations