arXiv:1507.01383 Abstract | arXiv Analytics

arXiv:1507.01383 [math.CA]Abstract References Reviews Resources

Complete $(p,q)$-elliptic integrals with application to a family of means

Published 2015-07-06Version 1

The complete elliptic integrals are generalized by using the generalized trigonometric functions with two parameters. Another proof of a result for a family of means by Bhatia and Li, which involves the logarithmic mean and the arithmetic-geometric mean, is given.

Comments: 11 pages

Categories: math.CA, math.AP

Keywords: application, complete elliptic integrals, generalized trigonometric functions, logarithmic mean, arithmetic-geometric mean

Related articles: Most relevant | Search more

arXiv:1409.8527 [math.CA] (Published 2014-09-30)

A note on a hypergeometric transformation formula due to Slater with an application

Y. S. Kim, A. K. Rathie, R. B. Paris

arXiv:1703.06608 [math.CA] (Published 2017-03-20)

On two new means of two arguments III

Barkat Ali Bhayo, József Sándor

arXiv:math/0205007 [math.CA] (Published 2002-05-01)

Characterization of anysotropic Liouville-type mixed spaces and its application