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Classical and Quantum Orthogonal Polynomials in One Variable Book

Classical and Quantum Orthogonal Polynomials in One Variable
Classical and Quantum Orthogonal Polynomials in One Variable, Coverage is encyclopedic in the first modern treatment of orthogonal polynomials from the viewpoint of special functions. It includes classical topics such as Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials as well as those (e.g. Askey-W, Classical and Quantum Orthogonal Polynomials in One Variable has a rating of 3 stars
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Classical and Quantum Orthogonal Polynomials in One Variable, Coverage is encyclopedic in the first modern treatment of orthogonal polynomials from the viewpoint of special functions. It includes classical topics such as Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials as well as those (e.g. Askey-W, Classical and Quantum Orthogonal Polynomials in One Variable
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  • Classical and Quantum Orthogonal Polynomials in One Variable
  • Written by author Mourad E. H. Ismail
  • Published by Cambridge University Press, July 2009
  • Coverage is encyclopedic in the first modern treatment of orthogonal polynomials from the viewpoint of special functions. It includes classical topics such as Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials as well as those (e.g. Askey-W
  • The first modern account of orthogonal polynomials from the viewpoint of special functions.
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Book Categories

Authors

1Preliminaries1
2Orthogonal polynomials16
3Differential equations52
4Jacobi polynomials80
5Some inverse problems133
6Discrete orthogonal polynomials174
7Zeros and inequalities203
8Polynomials orthogonal on the unit circle222
9Linearization, connections and integral representations253
10The Sheffer classification282
11q-Series preliminaries293
12q-Summation theorems299
13Some q-orthogonal polynomials318
14Exponential and q-Bessel functions351
15The Askey-Wilson polynomials377
16The Askey-Wilson operators425
17q-Hermite polynomials on the unit circle454
18Discrete q-orthogonal polynomials468
19Fractional and q-fractional calculus490
20Polynomial solutions to functional equations508
21Some indeterminate moment problems529
22The Riemann-Hilbert problem577
23Multiple orthogonal polynomials606
24Research problems647


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Classical and Quantum Orthogonal Polynomials in One Variable, Coverage is encyclopedic in the first modern treatment of orthogonal polynomials from the viewpoint of special functions. It includes classical topics such as Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials as well as those (e.g. Askey-W, Classical and Quantum Orthogonal Polynomials in One Variable

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Classical and Quantum Orthogonal Polynomials in One Variable, Coverage is encyclopedic in the first modern treatment of orthogonal polynomials from the viewpoint of special functions. It includes classical topics such as Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials as well as those (e.g. Askey-W, Classical and Quantum Orthogonal Polynomials in One Variable

Classical and Quantum Orthogonal Polynomials in One Variable

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Classical and Quantum Orthogonal Polynomials in One Variable, Coverage is encyclopedic in the first modern treatment of orthogonal polynomials from the viewpoint of special functions. It includes classical topics such as Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials as well as those (e.g. Askey-W, Classical and Quantum Orthogonal Polynomials in One Variable

Classical and Quantum Orthogonal Polynomials in One Variable

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