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Computational Methods and Function Theory
Article
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arXiv.org e-Print Archive
Preprint . 2008
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Computational Methods and Function Theory
Article . 2008 . Peer-reviewed
License: Springer TDM
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https://dx.doi.org/10.48550/ar...
Article . 2008
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Computational Methods and Function Theory
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Hypergeometric Functions and Hyperbolic Metric

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 26 Sep 2008Embargo end date: 01 Jan 2008 English Publisher:Springer Science and Business Media LLCJournal:Computational Methods and Function Theory, volume 9, pages 269-284 (issn: 1617-9447, eissn: 2195-3724, Copyright policy )
Authors: M. K. Vamanamurthy; Toshiyuki Sugawa; Matti Vuorinen; G. D. Anderson;

doi: 10.1007/bf03321727 , 10.48550/arxiv.0805.1501

arXiv: http://arxiv.org/abs/0805.1501

Hypergeometric Functions and Hyperbolic Metric

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.

13 pages, 1 figure

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Keywords

30F45, Mathematics - Complex Variables, 33E05, FOS: Mathematics, 30F45; 33C05; 33C75; 33E05, 33C05, Complex Variables (math.CV), 33C75

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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bronze
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