The integrals in Gradshteyn and Ryzhik. Part 16: Complete elliptic integrals
Stefan Boettner, Victor H. Moll
TL;DR
This paper systematically derives several entries related to elliptic integrals from the Gradshteyn and Ryzhik table, enhancing understanding of their mathematical foundations.
Contribution
It provides a comprehensive derivation of elliptic integral entries in Gradshteyn and Ryzhik, clarifying their mathematical relationships.
Findings
New derivations of elliptic integral entries
Deeper understanding of elliptic integrals in classical tables
Enhanced mathematical clarity of elliptic integral formulas
Abstract
The table of Gradshteyn and Ryzhik contains many entries that are related to elliptic integrals. We present a systematic derivation of some of them.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Mathematical Identities · Mathematical functions and polynomials