Accession Number:

ADA113639

Title:

An Expansion of the Gegenbauer Polynomial (Cn superscript mu)(xy).

Descriptive Note:

Technical rept.,

Corporate Author:

NAVAL UNDERWATER SYSTEMS CENTER NEW LONDON CT NEW LONDON LAB

Personal Author(s):

Report Date:

1982-03-25

Pagination or Media Count:

15.0

Abstract:

An expansion of the Gegenbauer polynomial Cn superscript muxy in an orthogonal series in the polynomials Ck superscript lambdax with coefficients depending on y is derived. The coefficients of Ck superscript lambdax in the expansion are derived in a form that, by inspection, shows them to be positive for y 1 and mu or lambda or 0. A limiting form for these expansion coefficients is also derived. This limiting form, together with an apparently new formula of Mehler-Heine type, is shown to imply Sonines second finite integral. Author

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE