عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
NATIONAL BIBLIOGRAPHY NUMBER
Number
TLpq304361858
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Some generating functions and a projection formula for the associated Askey-Wilson polynomials
General Material Designation
[Thesis]
First Statement of Responsibility
Q. M. Tariq
Subsequent Statement of Responsibility
M. Rahman
.PUBLICATION, DISTRIBUTION, ETC
Name of Publisher, Distributor, etc.
Carleton University (Canada)
Date of Publication, Distribution, etc.
1997
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
75
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
Ph.D.
Body granting the degree
Carleton University (Canada)
Text preceding or following the note
1997
SUMMARY OR ABSTRACT
Text of Note
A generating function for the associated continuous q-Jacobi polynomials is obtained an extension of a result of Gasper and Rahman, and, Bustoz and Ismail. The bilinear generating function (the Poisson kernel) for the associated continuous q-ultraspherical polynomials, first studied by Bustoz and Ismail and later generalized by Ismail and Rahman, is obtained, essentially as a product of a 2\phi\sb1, a 3\phi\sb2 and a 4\phi\sb3 basic hypergeometric series. Some related generating functions are also given. A projection formula for one of the two known families of associated Askey-Wilson polynomials is also obtained by summing an infinite series which exhibits the dual orthogonality of these polynomials in a certain limiting sense. The results also lead to a reproducing kernel for this system of polynomials as well as a weight function for orthogonality.
TOPICAL NAME USED AS SUBJECT
Mathematics
Pure sciences
PERSONAL NAME - PRIMARY RESPONSIBILITY
M. Rahman
Q. M. Tariq
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب p
[Thesis]
276903
a
Y
