Abstract/Details

Some identities involving orthogonal polynomials

Ruedemann, Richard William. 
 University of South Florida ProQuest Dissertations Publishing,  1992. 9310197.

Abstract (summary)

Formulas of Christoffel and Uvarov for changing the weight of real orthogonal polynomials by polynomial multiplication and division are extended to polynomials orthogonal on the unit circle. Elementary methods are used to give an alternative proof of a result of Askey and Hahn.

Next, some by-products that come from our proofs, not the theorems themselves, are explored. These by-products have to do with certain non-vanishing determinants having orthogonal polynomials as entries.

Finally, an elementary approach is given regarding two problems in orthogonal polynomials: (i) that of filling out certain sequences of orthogonal polynomials by finding intermediate ones, and (ii) that of finding certain frequencies involved in digital signal processing.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences; approximation
Title
Some identities involving orthogonal polynomials
Author
Ruedemann, Richard William
Number of pages
59
Degree date
1992
School code
0206
Source
DAI-B 53/11, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
979-8-208-31370-1
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
9310197
ProQuest document ID
304019702
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/304019702