D. D. Tcheutia

activity

20182021

most citedRecurrence equations and their classical orthogonal polynomial solutions on a quadratic or q-quadratic lattice

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.CA2021

Recurrence equations involving different orthogonal polynomial sequences and applications

A. S. Jooste, D. D. Tcheutia, W. Koepf

Consider ${p_{n}}_{n = 0}^{\infty}$ , a sequence of polynomials orthogonal with respect to $w (x) > 0$ on $(a, b)$ , and polynomials ${g_{n, k}}_{n = 0}^{\infty}, k \in N_{0}$ , orthog…

math.CA2019★ 1 cited

Recurrence equations and their classical orthogonal polynomial solutions on a quadratic or q-quadratic lattice

Daniel Duviol Tcheutia

Every classical orthogonal polynomial system $p_{n} (x)$ satisfies a three-term recurrence relation of the type \[ p_{n+1}(x)=(A_nx+B_n)p_n(x)-C_np_{n-1}(x)~ (n=0,1,2,\ldots, p_{-1}\e…

math.CA2018

Quasi-Orthogonality of Some Hypergeometric and $q$ -Hypergeometric Polynomials

Daniel D. Tcheutia, Alta S. Jooste, Wolfram Koepf

We show how to obtain linear combinations of polynomials in an orthogonal sequence ${P_{n}}_{n \geq 0}$ , such as $Q_{n, k} (x) = i = 0 \sum k a_{n, i} P_{n - i} (x)$ , $a_{n,0}a_{n,k}\…

Recurrence equations involving different orthogonal polynomial sequences and applications

Recurrence equations and their classical orthogonal polynomial solutions on a quadratic or q-quadratic lattice

Quasi-Orthogonality of Some Hypergeometric and q-Hypergeometric Polynomials

Quasi-Orthogonality of Some Hypergeometric and $q$ -Hypergeometric Polynomials