rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: A
    title: first course on orthogonal polynomials
    sub title: classical orthogonal polynomials and related topics
  name:
    name part: Castillo, Kenier
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Petronilho, José Carlos
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2025
    edition: First edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xvi, 210 pages).
  abstract: "A First Course on Orthogonal Polynomials: Classical Orthogonal Polynomials and Related Topics provides an introduction to orthogonal polynomials and special functions aimed at graduate students studying these topics for the first time. A large part of its content is essentially inspired by the works of Pascal Maroni on the so-called algebraic theory of orthogonal polynomials, which distinguishes it from other contributions in the field"--
  table of contents: 1. Foundations of the algebraic theory. 2. Orthogonal polynomial sequences. 3. Zeros and Gauss-Jacobi mechanical quadrature. 4. The spectral theorem. 5. The Markov theorem. 6. Orthogonal polynomials and dual basis. 7. Functional differential equation. 8. Classical orthogonal polynomials: General properties. 9. Functional equation on lattices. 10. Classical orthogonal polynomials: The positive definite case. 11. Hypergeometric series. A. Locally Convex Spaces.
  target audience: adult
  note: Kenier Castillo and José Carlos Petronilho.
  note: “A Chapman & Hall Book.”
  note: Includes bibliographical references and index.
  note: Kenier Castillo is currently the FCT Assistant Researcher at Centre for Mathematics of the University of Coimbra (Portugal). He earned his doctorate from Carlos III University of Madrid (Spain) in 2012. His research interests include Special Functions and Orthogonal Polynomials. He has more than 50 papers in peer-review journals. Castillo supervised two doctoral theses, one at the University of Coimbra and the other at the University of Cádiz (Spain), and currently supervises two PhD students at the University of Coimbra.José Carlos Petronilho was an Associate Professor with Aggregation at the Department of Mathematics at the University of Coimbra. He earned his doctorate from the University of Coimbra in 1997. His research interests included Special Functions and Orthogonal Polynomials. He authored more than 40 papers in peer-review journals. In June 2024, a conference entitled "From Classical to Modern Analysis" within the framework of the European Congress of Mathematics was held to honor the memory of José Carlos Petronilho.
  subject:
    topic: Orthogonal polynomials
  subject:
    topic: Polynômes orthogonaux
  subject:
    topic: MATHEMATICS / Algebra / General
  subject:
    topic: MATHEMATICS / Geometry / Algebraic
  subject:
    topic: MATHEMATICS / Algebra / Abstract
  classification: QA404.5 .C37 2024
  classification: 515/.55
  identifier: 9781003432067
  identifier: 1003432069
  identifier: 9781032555973
  identifier: 9781040155622
  identifier: 1040155626
  identifier: 9781032560465
  identifier: 9781040155608
  identifier: 104015560X
  identifier: 9781003432067 Taylor & Francis
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: TYFRS
    record creation date: 240930
    record change date: 20241220164336.6
    record identifier: in00005610912
    language of cataloging:
      language term: eng