Title
A Geometric Study of the Hypergeometric Function With Imaginary Exponents
Abstract
: The Schwarz map dened by the ratio of two solutions of the hypergeometricequation has been studied mainly when the exponents are real. In thispaper, we study this map when the exponents are purely imaginary. Such caseshave been abandoned for more than one hundred years. A fundamental domain inthe source plane and that in the target plane are constructed; the Schwarz maprestricted on these domains is conformally isomorphic and the whole map can berecovered by this restriction through...
Year
Venue
DocType
2001
Experimental Mathematics
Journal
Volume
Issue
Citations 
10
3
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Masaaki Yoshida151.74
Takeshi Sasaki201.01