Distributional Weight Functions and Orthogonal Polynomials

Abstract

It was proposed to 1) Examine the cauchy representation of the Jacobi polynomial weight function to see what happens as the contour over which it is integrated approaches the interval -1,1 on the real axis. (alpha <-1, beta < -1) . 2) Do the same thing for the Laguerre polynomials after the Cauchy representation has been found (alpha < -1). 3) Examine the Pollaczek polynomials. 4) Examine other polynomial sets.

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Document Details

Document Type
Technical Report
Publication Date
Oct 31, 1979
Accession Number
ADA215156

Entities

People

  • Allan M. Krall

Organizations

  • Pennsylvania State University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Availability
  • Classification
  • Difference Equations
  • Differential Equations
  • Equations
  • Hilbert Space
  • Intervals
  • Mathematical Analysis
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  • Polynomials
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Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis