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Orthogonal Polynomials

- 2nd AIMS-Volkswagen Stiftung Workshop, Douala, Cameroon, 5-12 October, 2018

Über Orthogonal Polynomials

Part I: Introduction to Orthogonal Polynomials.- An Introduction to Orthogonal Polynomials.- Classical Continuous Orthogonal Polynomials.- Generating Functions and Hypergeometric Representations of Classical Continuous Orthogonal Polynomials.- Properties and Applications of the Zeros of Classical Continuous Orthogonal Polynomials.- Inversion, Multiplication and Connection Formulae of Classical Continuous Orthogonal Polynomials.- Classical Orthogonal Polynomials of a Discrete and a q-Discrete Variable.- Computer Algebra, Power Series and Summation.- On the Solutions of Holonomic Third-Order Linear Irreducible Differential Equations in Terms of Hypergeometric Functions.- The Gamma Function.- Part II: Recent Research Topics in Orthogonal Polynomials and Applications.- Hypergeometric Multivariate Orthogonal Polynomials.- Signal Processing, Orthogonal Polynomials, and Heun Equations.- Some Characterization Problems Related to Sheffer Polynomial Sets.- From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals.- Two Variable Orthogonal Polynomials and Fejér-Riesz Factorization.- Exceptional Orthogonal Polynomials and Rational Solutions to Painlevé Equations.- (R, p, q)-Rogers-Szegö and Hermite Polynomials, and Induced Deformed Quantum Algebras.- Zeros of Orthogonal Polynomials.- Properties of Certain Classes of Semiclassical Orthogonal Polynomials.- Orthogonal Polynomials and Computer Algebra.- Spin Chains, Graphs and State Revival.- An Introduction to Special Functions with Some Applications to Quantum Mechanics.- Orthogonal and Multiple Orthogonal Polynomials, Random Matrices, and Painlevé Equations.

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  • Sprache:
  • Englisch
  • ISBN:
  • 9783030367435
  • Einband:
  • Gebundene Ausgabe
  • Seitenzahl:
  • 683
  • Veröffentlicht:
  • 12 März 2020
  • Ausgabe:
  • 12020
  • Abmessungen:
  • 155x235x0 mm.
  • Gewicht:
  • 1202 g.
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Beschreibung von Orthogonal Polynomials

Part I: Introduction to Orthogonal Polynomials.- An Introduction to Orthogonal Polynomials.- Classical Continuous Orthogonal Polynomials.- Generating Functions and Hypergeometric Representations of Classical Continuous Orthogonal Polynomials.- Properties and Applications of the Zeros of Classical Continuous Orthogonal Polynomials.- Inversion, Multiplication and Connection Formulae of Classical Continuous Orthogonal Polynomials.- Classical Orthogonal Polynomials of a Discrete and a q-Discrete Variable.- Computer Algebra, Power Series and Summation.- On the Solutions of Holonomic Third-Order Linear Irreducible Differential Equations in Terms of Hypergeometric Functions.- The Gamma Function.- Part II: Recent Research Topics in Orthogonal Polynomials and Applications.- Hypergeometric Multivariate Orthogonal Polynomials.- Signal Processing, Orthogonal Polynomials, and Heun Equations.- Some Characterization Problems Related to Sheffer Polynomial Sets.- From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals.- Two Variable Orthogonal Polynomials and Fejér-Riesz Factorization.- Exceptional Orthogonal Polynomials and Rational Solutions to Painlevé Equations.- (R, p, q)-Rogers-Szegö and Hermite Polynomials, and Induced Deformed Quantum Algebras.- Zeros of Orthogonal Polynomials.- Properties of Certain Classes of Semiclassical Orthogonal Polynomials.- Orthogonal Polynomials and Computer Algebra.- Spin Chains, Graphs and State Revival.- An Introduction to Special Functions with Some Applications to Quantum Mechanics.- Orthogonal and Multiple Orthogonal Polynomials, Random Matrices, and Painlevé Equations.

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