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A triangular property of the associated Legendre functionsA mathematical formula is introduced and proved which relates the associated Legendre functions with given nonnegative integral indices. The application of this formula in simplifying the calculation of collisional electron-atom cross sections higher than the dipole is mentioned. A proof of the stated identity using the Gegenbauer polynomials and their generating function is given.
Document ID
19900061987
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Fineschi, S.
(NASA Marshall Space Flight Center Huntsville, AL, United States)
Landi Degl'innocenti, E.
(Firenze, Universita Florence, Italy)
Date Acquired
August 14, 2013
Publication Date
May 1, 1990
Publication Information
Publication: Journal of Mathematical Physics
Volume: 31
ISSN: 0022-2488
Subject Category
Numerical Analysis
Accession Number
90A49042
Distribution Limits
Public
Copyright
Other

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