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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 15: Exceptional Orthogonal Polynomials and Rational Solutions to Painlevé Equations
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Chapter title
Exceptional Orthogonal Polynomials and Rational Solutions to Painlevé Equations
Chapter number 15
Book title
Orthogonal Polynomials
Published by
Birkhäuser, Cham, October 2018
DOI 10.1007/978-3-030-36744-2_15
Book ISBNs
978-3-03-036743-5, 978-3-03-036744-2
Authors

David Gómez-Ullate, Robert Milson

Mendeley readers

The data shown below were compiled from readership statistics for 10 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 10 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 3 30%
Professor > Associate Professor 2 20%
Student > Postgraduate 2 20%
Student > Master 1 10%
Unknown 2 20%
Readers by discipline Count As %
Mathematics 5 50%
Physics and Astronomy 3 30%
Unknown 2 20%