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Asymptotics of orthogonal polynomials via recurrence relations

  • X. S. Wang
  • , R. Wong

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 12 - Chapter in an edited book (Author)peer-review

Abstract

We use the Legendre polynomials and the Hermite polynomials as two examples to illustrate a simple and systematic technique on deriving asymptotic formulas for orthogonal polynomials via recurrence relations. Another application of this technique is to provide a solution to a problem recently raised by M. E. H. Ismail. © 2016 by World Scientific Publishing Co. Ptc. Ltd.
Original languageEnglish
Title of host publicationSelected Works Of Roderick S. C. Wong, The (In 3 Volumes)
PublisherWorld Scientific Publishing Co. Pte Ltd
Pages1358-1378
ISBN (Print)9789814656054
DOIs
Publication statusPublished - 5 Aug 2015

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Research Keywords

  • Asymptotics
  • Hermite polynomials
  • Legendre polynomials
  • Orthogonal polynomials
  • Recurrence relation

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