Abstract/Details

On asymptotics of certain hypergeometric functions and 6-j symbols

Chen, Li-Chen. 
 University of South Florida ProQuest Dissertations Publishing,  1989. 9003710.

Abstract (summary)

It is known that one of the important problems of the theory of orthogonal polynomials is the problem of their asymptotic properties. The asymptotic behavior of certain orthogonal polynomials of discrete variable is studied. The polynomials are hypergeometric functions of $\sb4$F$\sb3$ type which are closely related to the transformation matrix elements--Clebsch-Gordan Coefficients and Racah Coefficients or 6-j symbols in quantum mechanics. A transformation formula and an integral representation are used to determine the asymptotic behavior of the hypergeometric functions and these coefficients. An asymptotic formula for Jacobi polynomials and Laguerre polynomials with large parameters are also derived by the use of generating functions and Darboux's method.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences
Title
On asymptotics of certain hypergeometric functions and 6-j symbols
Author
Chen, Li-Chen
Number of pages
82
Degree date
1989
School code
0206
Source
DAI-B 50/09, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
979-8-206-68131-4
Advisor
Ismail, Mourad E. H.
University/institution
University of South Florida
University location
United States -- Florida
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9003710
ProQuest document ID
303731099
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/303731099