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Can I read $q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions on EtoBox?
$q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions by Douglas Bowman is a nonfiction available to read on EtoBox.
What is $q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions about?
We explore 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 our approach. This leads naturally to the evaluation of the Askey-Wilson integral and generalizations. We also find expansions of certain generalized basic hypergeometric functions in terms of the symmetric polynomials. This provides us with a quick route to understanding the group structure generated by iterating the two-term transformations of these functions. We also lay some infrastructure for more general investigations in the future.
Who reads $q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Douglas Bowman
- Publisher
- American Mathematical Society
- Published
- 2002
- Language
- EN
- ISBN
- 9780821827741
- Category
- nonfiction
- Subjects
- Mathematics, Science, Stem
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