Hypergeometric functions and hyperbolic metric
Complex Variables
2008-05-13 v1
Abstract
We obtain new inequalities for certain hypergeometric functions. Using these inequalities, we deduce estimates for the hyperbolic metric and the induced distance function on a certain canonical hyperbolic plane domain.
Cite
@article{arxiv.0805.1501,
title = {Hypergeometric functions and hyperbolic metric},
author = {G. D. Anderson and T. Sugawa and M. K. Vamanamurthy and M. Vuorinen},
journal= {arXiv preprint arXiv:0805.1501},
year = {2008}
}
Comments
13 pages, 1 figure