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Author Ismail, Mourad, 1944-
Title Classical and quantum orthogonal polynomials in one variable / Mourad E.H. Ismail ; with two chapters by Walter Van Assche.
Alternative Title Classical & Quantum Orthogonal Polynomials in One Variable
Publisher Cambridge : Cambridge University Press, 2005.



Descript 1 online resource (xviii, 706 pages) : digital, PDF file(s).
Content text txt
Media computer c
Carrier online resource cr
Note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Contents Preliminaries -- Orthogonal polynomials -- Differential equations -- Jacobi polynomials -- Some inverse problems -- Discrete orthogonal polynomials -- Zeros and inequalities -- Polynomials orthogonal on the unit circle -- Linearization, connections and integral representations -- The Sheffer classification -- q-series preliminaries -- q-summation theorems -- Some q-orthogonal polynomials -- Exponential and q-Bessel functions -- The Askey-Wilson polynomials -- The Askey-Wilson operators -- q-Hermite polynomials on the unit circle -- Discrete q-orthogonal polynomials -- Fractional and q-fractional calculus -- Polynomial solutions to functional equations -- Some indeterminate moment problems -- The Riemann-Hilbert problem -- Multiple orthogonal polynomials -- Research problems.
Note Unlimited number of concurrent users. UkHlHU
ISBN 9781107325982 (ebook)
9780521782012 (hardback)
9780521143479 (paperback)
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Author Ismail, Mourad, 1944-
Series Encyclopedia of mathematics and its applications ; volume 98
Encyclopedia of mathematics and its applications ; v. 98.
Subject Orthogonal polynomials.
Alt author Assche, Walter van, 1958-
Alternative Title Classical & Quantum Orthogonal Polynomials in One Variable
Descript 1 online resource (xviii, 706 pages) : digital, PDF file(s).
Content text txt
Media computer c
Carrier online resource cr
Note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Contents Preliminaries -- Orthogonal polynomials -- Differential equations -- Jacobi polynomials -- Some inverse problems -- Discrete orthogonal polynomials -- Zeros and inequalities -- Polynomials orthogonal on the unit circle -- Linearization, connections and integral representations -- The Sheffer classification -- q-series preliminaries -- q-summation theorems -- Some q-orthogonal polynomials -- Exponential and q-Bessel functions -- The Askey-Wilson polynomials -- The Askey-Wilson operators -- q-Hermite polynomials on the unit circle -- Discrete q-orthogonal polynomials -- Fractional and q-fractional calculus -- Polynomial solutions to functional equations -- Some indeterminate moment problems -- The Riemann-Hilbert problem -- Multiple orthogonal polynomials -- Research problems.
Note Unlimited number of concurrent users. UkHlHU
ISBN 9781107325982 (ebook)
9780521782012 (hardback)
9780521143479 (paperback)
Author Ismail, Mourad, 1944-
Series Encyclopedia of mathematics and its applications ; volume 98
Encyclopedia of mathematics and its applications ; v. 98.
Subject Orthogonal polynomials.
Alt author Assche, Walter van, 1958-
Alternative Title Classical & Quantum Orthogonal Polynomials in One Variable

Subject Orthogonal polynomials.
Descript 1 online resource (xviii, 706 pages) : digital, PDF file(s).
Content text txt
Media computer c
Carrier online resource cr
Note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Contents Preliminaries -- Orthogonal polynomials -- Differential equations -- Jacobi polynomials -- Some inverse problems -- Discrete orthogonal polynomials -- Zeros and inequalities -- Polynomials orthogonal on the unit circle -- Linearization, connections and integral representations -- The Sheffer classification -- q-series preliminaries -- q-summation theorems -- Some q-orthogonal polynomials -- Exponential and q-Bessel functions -- The Askey-Wilson polynomials -- The Askey-Wilson operators -- q-Hermite polynomials on the unit circle -- Discrete q-orthogonal polynomials -- Fractional and q-fractional calculus -- Polynomial solutions to functional equations -- Some indeterminate moment problems -- The Riemann-Hilbert problem -- Multiple orthogonal polynomials -- Research problems.
Note Unlimited number of concurrent users. UkHlHU
Alt author Assche, Walter van, 1958-
ISBN 9781107325982 (ebook)
9780521782012 (hardback)
9780521143479 (paperback)

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