Open AccessMultiple big q-Jacobi polynomials
Author(s) -
Fethi Bouzeffour,
Mübariz T. Garayev
Publication year - 2020
Publication title -
bulletin of mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.407
H-Index - 21
eISSN - 1664-3607
pISSN - 1664-3615
DOI - 10.1142/s1664360720500137
Subject(s) - jacobi polynomials , mathematics , orthogonal polynomials , hypergeometric distribution , wilson polynomials , pure mathematics , hypergeometric function , classical orthogonal polynomials , order (exchange) , algebra over a field , recurrence relation , combinatorics , finance , economics
Here, we investigate type II multiple big [Formula: see text]-Jacobi orthogonal polynomials. We provide their explicit formulae in terms of basic hypergeometric series, raising and lowering operators, Rodrigues formulae, third-order [Formula: see text]-difference equation, and we obtain recurrence relations.