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Jacobi matrix differential equation, polynomial solutions, and their properties

✍ Scribed by E. Defez; L. Jódar; A. Law

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
690 KB
Volume
48
Category
Article
ISSN
0898-1221

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✦ Synopsis

ln this paper, Jacobi matrix polynomials are introduced, starting from the hypergeometric matrix function. The differential equation satisfied by them is presented. A Rodrigues' formula, orthogonality, and a three terms matrix recurrence relationship are then developed for Jacobi matrix polynomials.

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