Division Problem of a Regular Form: The Casex2u=λxv-Reference-Cited by-同舟云学术

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Division Problem of a Regular Form: The Casex2u=λxv

Published:2011 Issue: Volume:2011 Page:1-23
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Mejri M.¹

Affiliation:

1. Department of Mathematics, Institut Supérieur des Sciences Appliquées et de Technologie, Rue Omar Ibn El Khattab, Gabès 6072, Tunisia

Abstract

We present a systematic study of a regular linear functionalvto find all regular formsuwhich satisfy the equationx2u=λxv,λ∈ℂ−{0}. We also give the second-order recurrence relation of the orthogonal polynomial sequence with respect touand study the semiclassical character of the found families. We conclude by treating some examples.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2011/794593.pdf

Reference24 articles.

1. Mathematics and Its Applications, Vol. 1,1978

2. Delta perturbation of a moment functional

3. On a regular form defined by a pseudo-function

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1. Division problem of a regular symmetric form the case x³u = λxv;Integral Transforms and Special Functions;2022-09-25

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