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Orthogonal Polynomials

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Cover of 'Orthogonal Polynomials'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 An Introduction to Orthogonal Polynomials
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    Chapter 2 Classical Continuous Orthogonal Polynomials
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    Chapter 3 Generating Functions and Hypergeometric Representations of Classical Continuous Orthogonal Polynomials
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    Chapter 4 Properties and Applications of the Zeros of Classical Continuous Orthogonal Polynomials
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    Chapter 5 Inversion, Multiplication and Connection Formulae of Classical Continuous Orthogonal Polynomials
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    Chapter 6 Classical Orthogonal Polynomials of a Discrete and a q -Discrete Variable
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    Chapter 7 Computer Algebra, Power Series and Summation
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    Chapter 8 On the Solutions of Holonomic Third-Order Linear Irreducible Differential Equations in Terms of Hypergeometric Functions
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    Chapter 9 The Gamma Function
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    Chapter 10 Hypergeometric Multivariate Orthogonal Polynomials
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    Chapter 11 Signal Processing, Orthogonal Polynomials, and Heun Equations
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    Chapter 12 Some Characterization Problems Related to Sheffer Polynomial Sets
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    Chapter 13 From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals
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    Chapter 14 Two Variable Orthogonal Polynomials and Fejér-Riesz Factorization
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    Chapter 15 Exceptional Orthogonal Polynomials and Rational Solutions to Painlevé Equations
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    Chapter 16 ( ℛ , p , q ) $$( \mathcal {R}, p,q)$$ -Rogers–Szegö and Hermite Polynomials, and Induced Deformed Quantum Algebras
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    Chapter 17 Zeros of Orthogonal Polynomials
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    Chapter 18 Properties of Certain Classes of Semiclassical Orthogonal Polynomials
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    Chapter 19 Orthogonal Polynomials and Computer Algebra
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    Chapter 20 Spin Chains, Graphs and State Revival
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    Chapter 21 An Introduction to Special Functions with Some Applications to Quantum Mechanics
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    Chapter 22 Orthogonal and Multiple Orthogonal Polynomials, Random Matrices, and Painlevé Equations
Attention for Chapter 21: An Introduction to Special Functions with Some Applications to Quantum Mechanics
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Chapter title
An Introduction to Special Functions with Some Applications to Quantum Mechanics
Chapter number 21
Book title
Orthogonal Polynomials
Published by
Birkhäuser, Cham, October 2018
DOI 10.1007/978-3-030-36744-2_21
Book ISBNs
978-3-03-036743-5, 978-3-03-036744-2
Authors

Sergei K. Suslov, José M. Vega-Guzmán, Kamal Barley, Suslov, Sergei K., Vega-Guzmán, José M., Barley, Kamal

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