Problems and methods of calculating the Legendre functions of arbitrary degree and order

The known standard recursion methods of computing the full normalized associated Legendre functions do not give the necessary precision due to application of IEEE754-2008 standard, that creates a problems of underflow and overflow. The analysis of the problems of the calculation of the Legendre func...

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Bibliographic Details
Main Authors: Novikova Elena, Dmitrenko Alexander
Format: Article
Language:English
Published: Polish Academy of Sciences 2016-12-01
Series:Geodesy and Cartography
Subjects:
Online Access:http://www.degruyter.com/view/j/geocart.2016.65.issue-2/geocart-2016-0017/geocart-2016-0017.xml?format=INT