Integrals of Jacobi functions

and , where is the Jacobi function. Our expressions generalize the work of Blue, Gautschi and Gatteschi. The results are useful to derive integration formulas for integrands with algebraic and logarithmic singularities.]]>

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Bibliographic Details
Published in:Mathematics of computation 1982-01, Vol.38 (157), p.207-214
Main Authors: Kalla, Shyam L., Conde, Salvador, Luke, Yudell L.
Format: Article
Language:English
Subjects:
Hypergeometric functions
Integers
Legendre functions
Legendre polynomials
Mathematical functions
Mathematical integrals
Partial derivatives
Recursion
Recursive functions
Zero
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Description
Summary:and , where is the Jacobi function. Our expressions generalize the work of Blue, Gautschi and Gatteschi. The results are useful to derive integration formulas for integrands with algebraic and logarithmic singularities.]]>
ISSN:0025-5718
1088-6842
DOI:10.1090/S0025-5718-1982-0637298-8