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Elliptic Orthogonal Polynomials


Elliptic Orthogonal Polynomials
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Elliptic Polynomials


Elliptic Polynomials
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Author : J.S. Lomont
language : en
Publisher: CRC Press
Release Date : 2000-08-31

Elliptic Polynomials written by J.S. Lomont and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-08-31 with Mathematics categories.


A remarkable interplay exists between the fields of elliptic functions and orthogonal polynomials. In the first monograph to explore their connections, Elliptic Polynomials combines these two areas of study, leading to an interesting development of some basic aspects of each. It presents new material about various classes of polynomials and about the odd Jacobi elliptic functions and their inverses. The term elliptic polynomials refers to the polynomials generated by odd elliptic integrals and elliptic functions. In studying these, the authors consider such things as orthogonality and the construction of weight functions and measures, finding structure constants and interesting inequalities, and deriving useful formulas and evaluations. Although some of the material may be familiar, it establishes a new mathematical field that intersects with classical subjects at many points. Its wealth of information on important properties of polynomials and clear, accessible presentation make Elliptic Polynomials valuable to those in real and complex analysis, number theory, and combinatorics, and will undoubtedly generate further research.



Elliptic Orthogonal Polynomials


Elliptic Orthogonal Polynomials
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Author : Carl John Rees
language : en
Publisher:
Release Date : 1949

Elliptic Orthogonal Polynomials written by Carl John Rees and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949 with categories.




Elliptic Orthogonal Polynomials


Elliptic Orthogonal Polynomials
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Author : Carl John Rees
language : en
Publisher:
Release Date : 1945

Elliptic Orthogonal Polynomials written by Carl John Rees and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1945 with Functions, Orthogonal categories.




Elliptic Orthogonal Polynomials A Dissertation Of The University Of Pennsylvania Carl John Rees


Elliptic Orthogonal Polynomials A Dissertation Of The University Of Pennsylvania Carl John Rees
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Author : Carl John Rees
language : en
Publisher:
Release Date : 1945

Elliptic Orthogonal Polynomials A Dissertation Of The University Of Pennsylvania Carl John Rees written by Carl John Rees and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1945 with categories.




Lectures On Orthogonal Polynomials And Special Functions


Lectures On Orthogonal Polynomials And Special Functions
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Author : Howard S. Cohl
language : en
Publisher: Cambridge University Press
Release Date : 2020-10-15

Lectures On Orthogonal Polynomials And Special Functions written by Howard S. Cohl and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-15 with Mathematics categories.


Contains graduate-level introductions by international experts to five areas of research in orthogonal polynomials and special functions.



Special Functions And Orthogonal Polynomials


Special Functions And Orthogonal Polynomials
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Author : Diego Dominici
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Special Functions And Orthogonal Polynomials written by Diego Dominici 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 2008 with Mathematics categories.


"This volume contains fourteen articles that represent the AMS Special Session on Special Functions and Orthogonal Polynomials, held in Tucson, Arizona in April of 2007. It gives an overview of the modern field of special functions with all major subfields represented, including: applications to algebraic geometry, asymptotic analysis, conformal mapping, differential equations, elliptic functions, fractional calculus, hypergeometric and q-hypergeometric series, nonlinear waves, number theory, symbolic and numerical evaluation of integrals, and theta functions. A few articles are expository, with extensive bibliographies, but all contain original research." "This book is intended for pure and applied mathematicians who are interested in recent developments in the theory of special functions. It covers a wide range of active areas of research and demonstrates the vitality of the field."--BOOK JACKET.



Some Basic Hypergeometric Orthogonal Polynomials That Generalize Jacobi Polynomials


Some Basic Hypergeometric Orthogonal Polynomials That Generalize Jacobi Polynomials
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Author : Richard Askey
language : en
Publisher: American Mathematical Soc.
Release Date : 1985

Some Basic Hypergeometric Orthogonal Polynomials That Generalize Jacobi Polynomials written by Richard Askey 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 1985 with Jacobi polynomials categories.


A very general set of orthogonal polynomials in one variable that extends the classical polynomials is a set we called the q-Racah polynomials. In an earlier paper we gave the orthogonality relation for these polynomials when the orthogonality is purely discrete. We now give the weight function in the general case and a number of other properties of these very interesting orthogonal polynomials.



Special Functions And Orthogonal Polynomials


Special Functions And Orthogonal Polynomials
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Author : Richard Beals
language : en
Publisher: Cambridge University Press
Release Date : 2016-05-17

Special Functions And Orthogonal Polynomials written by Richard Beals and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-17 with Mathematics categories.


A comprehensive graduate-level introduction to classical and contemporary aspects of special functions.



Orthogonal Polynomials On The Unit Circle


Orthogonal Polynomials On The Unit Circle
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Author : Barry Simon
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-08-05

Orthogonal Polynomials On The Unit Circle written by Barry Simon 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 2009-08-05 with Mathematics categories.


This two-part book is a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of one-dimensional Schrodinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szego's theorems), limit theorems for the density of the zeros of orthogonal polynomials, matrix representations for multiplication by $z$ (CMV matrices), periodic Verblunsky coefficients from the point of view of meromorphic functions on hyperelliptic surfaces, and connections between the theories of orthogonal polynomials on the unit circle and on the real line.



Orthogonal Polynomials Of Several Variables


Orthogonal Polynomials Of Several Variables
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Author : Charles F. Dunkl
language : en
Publisher: Cambridge University Press
Release Date : 2014-08-21

Orthogonal Polynomials Of Several Variables written by Charles F. Dunkl and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-21 with Mathematics categories.


Updated throughout, this revised edition contains 25% new material covering progress made in the field over the past decade.