q Difference Operators Orthogonal Polynomials and Symmetric Expansions is popular PDF and ePub book, written by Douglas Bowman in 2002, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, q Difference Operators Orthogonal Polynomials and Symmetric Expansions can be Read Online from any device for your convenience.
q Difference Operators Orthogonal Polynomials and Symmetric Expansions Book PDF Summary
The author explores ramifications and extensions of a $q$-difference operator method first used by L.J. Rogers for deriving relationships between special functions involving certain fundamental $q$-symmetric polynomials. In special cases these symmetric polynomials reduce to well-known classes of orthogonal polynomials. A number of basic properties of these polynomials follow from this approach. This leads naturally to the evaluation of the Askey-Wilson integral and generalizations. Expansions of certain generalized basic hypergeometric functions in terms of the symmetric polynomials are also found. This provides a quick route to understanding the group structure generated by iterating the two-term transformations of these functions. Some infrastructure is also laid for more general investigations in the future
Detail Book of q Difference Operators Orthogonal Polynomials and Symmetric Expansions PDF
- Author : Douglas Bowman
- Release : 21 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821827741
- Genre : Mathematics
- Total Page : 73 pages
- Language : English
- PDF File Size : 7,7 Mb
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