The Kontorovich-Lebedev transform as a map between d-orthogonal polynomials – Kent Academic Repository

Studies in Applied Mathematics, 131 (3). pp. 229-265. ISSN 0022-2526. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. ( A slight modification of the Kontorovich–Lebedev transform is an auto-morphism on the vector space of polynomials. The action of this inline image-transform over certain polynomial sequences will be under discussion, and a special attention will be given to the d-orthogonal ones. For instance, the Continuous Dual Hahn polynomials appear as the inline image-transform of a 2-orthogonal sequence of Laguerre type. Finally, all the orthogonal polynomial sequences whose inline image-transform is a d-orthogonal sequence will be characterized: they are essencially semiclassical polynomials fulfilling particular conditions and d is even. The Hermite and Laguerre polynomials are the classical solutions to this problem. Source.


Яндекс.Метрика Рейтинг@Mail.ru Free Web Counter
page counter
Last Modified: April 18, 2016 @ 11:10 pm