×

zbMATH — the first resource for mathematics

Functional inequalities for complete elliptic integrals and their ratios. (English) Zbl 0692.33001
The main purpose of this article is to improve some functional inequalities satisfied by complete elliptic integrals of the first kind. These inequalities are sharp and generalize the functional identity of Landen. Some applications important in quasiconformal analysis are discussed.
Reviewer: N.Kostov

MSC:
33E05 Elliptic functions and integrals
33E99 Other special functions
30C62 Quasiconformal mappings in the complex plane
PDF BibTeX XML Cite
Full Text: DOI