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Frontiers In Orthogonal Polynomials And Q-series

2018-01-12 Mathematics
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Release : 2018-01-12
Genre : Mathematics
Kind : eBook
Book Rating : 89X/5 ( reviews)

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Book Synopsis Frontiers In Orthogonal Polynomials And Q-series by : M Zuhair Nashed

Download or read book Frontiers In Orthogonal Polynomials And Q-series written by M Zuhair Nashed. This book was released on 2018-01-12. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatorics, approximation theory, mathematical physics, and computational and applied harmonic analysis. This collection is based on the invited lectures by well-known contributors from the International Conference on Orthogonal Polynomials and q-Series, that was held at the University of Central Florida in Orlando, on May 10-12, 2015. The conference was dedicated to Professor Mourad Ismail on his 70th birthday.The editors strived for a volume that would inspire young researchers and provide a wealth of information in an engaging format. Theoretical, combinatorial and computational/algorithmic aspects are considered, and each chapter contains many references on its topic, when appropriate.

Frontiers in Orthogonal Polynomials and Q-series

2022 Orthogonal polynomials
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Release : 2022
Genre : Orthogonal polynomials
Kind : eBook
Book Rating : 740/5 ( reviews)

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Book Synopsis Frontiers in Orthogonal Polynomials and Q-series by : M. Zuhair Nashed

Download or read book Frontiers in Orthogonal Polynomials and Q-series written by M. Zuhair Nashed. This book was released on 2022. Available in PDF, EPUB and Kindle. Book excerpt:

Hypergeometric Orthogonal Polynomials and Their q-Analogues

2010-03-18 Mathematics
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Release : 2010-03-18
Genre : Mathematics
Kind : eBook
Book Rating : 14X/5 ( reviews)

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Book Synopsis Hypergeometric Orthogonal Polynomials and Their q-Analogues by : Roelof Koekoek

Download or read book Hypergeometric Orthogonal Polynomials and Their q-Analogues written by Roelof Koekoek. This book was released on 2010-03-18. Available in PDF, EPUB and Kindle. Book excerpt: The present book is about the Askey scheme and the q-Askey scheme, which are graphically displayed right before chapter 9 and chapter 14, respectively. The fa- lies of orthogonal polynomials in these two schemes generalize the classical orth- onal polynomials (Jacobi, Laguerre and Hermite polynomials) and they have pr- erties similar to them. In fact, they have properties so similar that I am inclined (f- lowing Andrews & Askey [34]) to call all families in the (q-)Askey scheme classical orthogonal polynomials, and to call the Jacobi, Laguerre and Hermite polynomials very classical orthogonal polynomials. These very classical orthogonal polynomials are good friends of mine since - most the beginning of my mathematical career. When I was a fresh PhD student at the Mathematical Centre (now CWI) in Amsterdam, Dick Askey spent a sabbatical there during the academic year 1969–1970. He lectured to us in a very stimulating wayabouthypergeometricfunctionsandclassicalorthogonalpolynomials. Evenb- ter, he gave us problems to solve which might be worth a PhD. He also pointed out to us that there was more than just Jacobi, Laguerre and Hermite polynomials, for instance Hahn polynomials, and that it was one of the merits of the Higher Transc- dental Functions (Bateman project) that it included some newer stuff like the Hahn polynomials (see [198, §10. 23]).

$q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions

2002 Mathematics
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Release : 2002
Genre : Mathematics
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Book Rating : 74X/5 ( reviews)

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Book Synopsis $q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions by : Douglas Bowman

Download or read book $q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions written by Douglas Bowman. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: 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

Lectures on Orthogonal Polynomials and Special Functions

2020-10-15 Mathematics
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Release : 2020-10-15
Genre : Mathematics
Kind : eBook
Book Rating : 596/5 ( reviews)

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Book Synopsis Lectures on Orthogonal Polynomials and Special Functions by : Howard S. Cohl

Download or read book Lectures on Orthogonal Polynomials and Special Functions written by Howard S. Cohl. This book was released on 2020-10-15. Available in PDF, EPUB and Kindle. Book excerpt: Contains graduate-level introductions by international experts to five areas of research in orthogonal polynomials and special functions.

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