Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials / Richard Askey and James Wilson.

Format:

Book

Author/Creator:

Askey, Richard, author.

Wilson, James Arthur, 1951- author.

Series:

Memoirs of the American Mathematical Society ; Volume 54, Number 319.

Memoirs of the American Mathematical Society, 0065-9266 ; Volume 54, Number 319

Language:

English

Subjects (All):

Orthogonal polynomials.

Jacobi polynomials.

Physical Description:

1 online resource (63 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island, United States : American Mathematical Society, 1985.

Language Note:

English

Contents:

""Table of Contents""; ""1. Introduction""; ""Recurrence relation""; ""2. The orthogonality relation""; ""A q�beta integral""; ""The absolute continuous orthogonality""; ""3. A quadratic transformation""; ""4. Some interesting special cases""; ""Continuous q�ultraspherical polynomials""; ""Continuous q�Jacobi polynomials""; ""Continuous q�Laguerre polynomials""; ""Al�Salam�Chihara polynomials""; ""Generalized Tchebycheff polynomials""; ""Continuous q�symmetric Hahn polynomials""; ""q�Meixner�Pollaczek polynomials""; ""5. Divided difference operators""

""Second order difference equation""""Rodrigues type formula""; ""6. Connection coefficients""; ""7. Zeros and inequalitites""; ""8. Remarks""; ""Appendix""; ""References""

Notes:

"March 1985, Volume 54, Number 319 (first of 6 numbers)"--Cover.

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0732-9