Pearson equations for discrete orthogonal polynomials: III—Christoffel and Geronimus transformations

Contiguous hypergeometric relations for semiclassical discrete orthogonal polynomials are described as Christoffel and Geronimus transformations. Using the Christoffel–Geronimus–Uvarov formulas quasi-determinantal expressions for the shifted semiclassical discrete orthogonal polynomials are obtained...

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Vydáno v:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Ročník 116; číslo 4
Hlavní autor: Mañas, Manuel
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 01.10.2022
Springer Nature B.V
Témata:
Applications of Mathematics
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Original Paper
Polynomials
Theoretical
Geronimus transformations
33C47
33C45
Pearson equations
Geronimus–Uvarov transformations
Christoffel transformations
Contigous relations
Discrete orthogonal polynomials
Cholesky factorization
Generalized hypergeometric functions
42C05
ISSN:1578-7303, 1579-1505
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Shrnutí:Contiguous hypergeometric relations for semiclassical discrete orthogonal polynomials are described as Christoffel and Geronimus transformations. Using the Christoffel–Geronimus–Uvarov formulas quasi-determinantal expressions for the shifted semiclassical discrete orthogonal polynomials are obtained.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1578-7303
1579-1505
DOI:10.1007/s13398-022-01296-4