Title
Functions of the second kind for classical polynomials
Abbreviated Journal Title
Adv. Appl. Math.
Keywords
Raising and lowering operators; Rodrigues formulas; Askey-Wilson; operator; Wilson operator; Jackson q-difference operator; Big and small; q-Jacobi polynomial; Al-Salam-Chihara polynomials; Indeterminate moment; problems; ORTHOGONAL POLYNOMIALS; DIFFERENCE-EQUATIONS; WILSON POLYNOMIALS; Mathematics, Applied
Abstract
We give new derivations of properties of the functions of the second kind of the Jacobi, little and big q-Jacobi polynomials, and the symmetric Al-Salam Chihara polynomials for q > 1. We also study the Askey Wilson functions and the Wilson functions of second kind. An integration by parts formula is derived for the Wilson operator in appropriate Hilbert space. In case of undetermined moment problem, we prove that the function of second kind depends on the measure. (C) 2013 Elsevier Inc. All rights reserved.
Journal Title
Advances in Applied Mathematics
Volume
54
Publication Date
1-1-2014
Document Type
Article
Language
English
First Page
66
Last Page
104
WOS Identifier
ISSN
0196-8858
Recommended Citation
"Functions of the second kind for classical polynomials" (2014). Faculty Bibliography 2010s. 5500.
https://stars.library.ucf.edu/facultybib2010/5500
Comments
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