Q Difference Operators Orthogonal Polynomials And Symmetric Expansions

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Q Difference Operators Orthogonal Polynomials And Symmetric Expansions
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Author : Douglas Bowman
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Q Difference Operators Orthogonal Polynomials And Symmetric Expansions written by Douglas Bowman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
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
Q Difference Operators Orthogonal Polynomials And Symmetric Expansions
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Author : Douglas Bowman
language : en
Publisher:
Release Date : 2014-09-11
Q Difference Operators Orthogonal Polynomials And Symmetric Expansions written by Douglas Bowman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Difference operators categories.
Introduction and preliminaries New results and connections with current research Vector operator identities and simple applications Bibliography.
Frontiers In Orthogonal Polynomials And Q Series
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Author : M Zuhair Nashed
language : en
Publisher: World Scientific
Release Date : 2018-01-12
Frontiers In Orthogonal Polynomials And Q Series written by M Zuhair Nashed and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-12 with Mathematics categories.
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.
Pseudodifferential Analysis On Conformally Compact Spaces
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Author : Robert Lauter
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Pseudodifferential Analysis On Conformally Compact Spaces written by Robert Lauter and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
The $0$-calculus on a manifold with boundary is a micro-localization of the Lie algebra of vector fields that vanish at the boundary. It has been used by Mazzeo, Melrose to study the Laplacian of a conformally compact metric.
Classification And Probabilistic Representation Of The Positive Solutions Of A Semilinear Elliptic Equation
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Author : Benoît Mselati
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Classification And Probabilistic Representation Of The Positive Solutions Of A Semilinear Elliptic Equation written by Benoît Mselati and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Concerned with the nonnegative solutions of $\Delta u = u^2$ in a bounded and smooth domain in $\mathbb{R}^d$, this title intends to prove that they are uniquely determined by their fine trace on the boundary as defined in [DK98a], answering a major open question of [Dy02].
The Moduli Space Of N 1 Superspheres With Tubes And The Sewing Operation
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Author : Katrina Barron
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
The Moduli Space Of N 1 Superspheres With Tubes And The Sewing Operation written by Katrina Barron and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Within the framework of complex supergeometry and motivated by two-dimensional genus-zero holomorphic $N = 1$ superconformal field theory, this book defines the moduli space of $N=1$ genus-zero super-Riemann surfaces with oriented and ordered half-infinite tubes, modulo superconformal equivalence.
The Rational Function Analogue Of A Question Of Schur And Exceptionality Of Permutation Representations
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Author : Robert M. Guralnick
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
The Rational Function Analogue Of A Question Of Schur And Exceptionality Of Permutation Representations written by Robert M. Guralnick and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Investigates the analogous question for rational functions. This book describes the Galois theoretic translation, based on Chebotarev's density theorem, leads to a certain property of permutation groups, called exceptionality.
Derived Ell Adic Categories For Algebraic Stacks
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Author : Kai Behrend
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Derived Ell Adic Categories For Algebraic Stacks written by Kai Behrend and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
This text is intended for graduate students and research mathematicians interested in algebraic geometry, category theory and homological algebra.
Self Similarity And Multiwavelets In Higher Dimensions
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Author : Carlos A Cabrelli
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Self Similarity And Multiwavelets In Higher Dimensions written by Carlos A Cabrelli and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Let $A$ be a dilation matrix, an$n \times n$ expansive matrix that maps a full-rank lattice $\Gamma \subset \R DEGREESn$ into itself. Let $\Lambda$ be a finite subset of$\Gamma$, and for $k \in \Lambda$ let $c_k$ be $r \times r$ complex ma
The Connective K Theory Of Finite Groups
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Author : Robert Ray Bruner
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
The Connective K Theory Of Finite Groups written by Robert Ray Bruner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Includes a paper that deals the connective K homology and cohomology of finite groups $G$. This title uses the methods of algebraic geometry to study the ring $ku DEGREES*(BG)$ where $ku$ denotes connective complex K-theory. It describes the variety in terms of the category of abelian $p$-subgroups of $G$ for primes $p$ dividing the group