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Orthogonal Polynomials

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

  • Conference proceedings
  • © 2020

Overview

Editors:
  1. Mama Foupouagnigni

    1. University of Yaoundé I, Yaoundé, Cameroon; African Institute for Mathematical Sciences, Limbe, Cameroon

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    You can also search for this editor in PubMed   Google Scholar

  2. Wolfram Koepf

    1. Institute for Mathematics, University of Kassel, Kassel, Germany

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    You can also search for this editor in PubMed   Google Scholar

  • Develops and discusses new ideas in orthogonal polynomials and applications
  • Gives young researchers a good mastering of the basics of orthogonal polynomials
  • Fosters a proper understanding of orthogonal polynomials' great potential applications in various domains of science

Included in the following conference series:

Conference proceedings info: AIMSVSW 2018.

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Table of contents (22 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Introduction to Orthogonal Polynomials

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. An Introduction to Orthogonal Polynomials

      • Mama Foupouagnigni
      Pages 3-24

    3. Classical Continuous Orthogonal Polynomials

      • Salifou Mboutngam
      Pages 25-43

    4. Generating Functions and Hypergeometric Representations of Classical Continuous Orthogonal Polynomials

      • Maurice Kenfack Nangho
      Pages 45-59

    5. Properties and Applications of the Zeros of Classical Continuous Orthogonal Polynomials

      • A. S. Jooste
      Pages 61-68

    6. Inversion, Multiplication and Connection Formulae of Classical Continuous Orthogonal Polynomials

      • Daniel Duviol Tcheutia
      Pages 69-83

    7. Classical Orthogonal Polynomials of a Discrete and a q-Discrete Variable

      • Patrick Njionou Sadjang
      Pages 85-112

    8. Computer Algebra, Power Series and Summation

      • Wolfram Koepf
      Pages 113-136

    9. On the Solutions of Holonomic Third-Order Linear Irreducible Differential Equations in Terms of Hypergeometric Functions

      • Merlin Mouafo Wouodjié
      Pages 137-154

    10. The Gamma Function

      • Daniel Duviol Tcheutia
      Pages 155-161

  3. Recent Research Topics in Orthogonal Polynomials and Applications

    1. Front Matter

      Pages 163-163
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    2. Hypergeometric Multivariate Orthogonal Polynomials

      • Iván Area
      Pages 165-193

    3. Signal Processing, Orthogonal Polynomials, and Heun Equations

      • Geoffroy Bergeron, Luc Vinet, Alexei Zhedanov
      Pages 195-214

    4. Some Characterization Problems Related to Sheffer Polynomial Sets

      • Hamza Chaggara, Radhouan Mbarki, Salma Boussorra
      Pages 215-244

    5. From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals

      • Juan C. García-Ardila, Francisco Marcellán, Misael E. Marriaga
      Pages 245-292

    6. Two Variable Orthogonal Polynomials and Fejér-Riesz Factorization

      • J. S. Geronimo
      Pages 293-333

    7. Exceptional Orthogonal Polynomials and Rational Solutions to Painlevé Equations

      • David Gómez-Ullate, Robert Milson
      Pages 335-386

    8. \(( \mathcal {R}, p,q)\)-Rogers–Szegö and Hermite Polynomials, and Induced Deformed Quantum Algebras

      • Mahouton Norbert Hounkonnou
      Pages 387-439

    9. Zeros of Orthogonal Polynomials

      • Kerstin Jordaan
      Pages 441-456
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Other volumes

  1. Orthogonal Polynomials

Keywords

About this book

This book presents contributions of international and local experts from the African Institute for Mathematical Sciences (AIMS-Cameroon) and also from other local universities in the domain of orthogonal polynomials and applications. The topics addressed range from univariate to multivariate orthogonal polynomials, from multiple orthogonal polynomials and random matrices to orthogonal polynomials and Painlevé equations.

The contributions are based on lectures given at the AIMS-Volkswagen Stiftung Workshop on Introduction of Orthogonal Polynomials and Applications held on October 5–12, 2018 in Douala, Cameroon. This workshop, funded within the framework of the Volkswagen Foundation Initiative "Symposia and Summer Schools", was aimed globally at promoting capacity building in terms of research and training in orthogonal polynomials and applications, discussions and development of new ideas as well as development and enhancement of networking including south-south cooperation.






Editors and Affiliations

  • University of Yaoundé I, Yaoundé, Cameroon; African Institute for Mathematical Sciences, Limbe, Cameroon

    Mama Foupouagnigni

  • Institute for Mathematics, University of Kassel, Kassel, Germany

    Wolfram Koepf

Bibliographic Information

  • Book Title: Orthogonal Polynomials

  • Book Subtitle: 2nd AIMS-Volkswagen Stiftung Workshop, Douala, Cameroon, 5-12 October, 2018

  • Editors: Mama Foupouagnigni, Wolfram Koepf

  • Series Title: Tutorials, Schools, and Workshops in the Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-3-030-36744-2

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-36743-5Published: 12 March 2020

  • Softcover ISBN: 978-3-030-36746-6Published: 12 March 2021

  • eBook ISBN: 978-3-030-36744-2Published: 11 March 2020

  • Series ISSN: 2522-0969

  • Series E-ISSN: 2522-0977

  • Edition Number: 1

  • Number of Pages: X, 683

  • Number of Illustrations: 9 b/w illustrations, 22 illustrations in colour

  • Topics: Special Functions

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