Growth of modified Painlevé transcendents of the fifth and the third kind

2004 ◽  
Vol 16 (2) ◽  
Author(s):  
Shun Shimomura
2008 ◽  
Vol 192 ◽  
pp. 89-109 ◽  
Author(s):  
Shun Shimomura

AbstractWe show equi-distribution properties of values for the third and the fifth Painlevé transcendents in a sectorial domain. For our purpose we define a characteristic function of sectorial domain type by employing value distribution theory in a half plane. Some special cases admit analogues of Borel exceptional values. Similar results are obtained for modified versions of these Painlevé transcendents, which are of infinite growth order.


2004 ◽  
Vol 94 (1) ◽  
pp. 319-342 ◽  
Author(s):  
Aimo Hinkkanen ◽  
Ilpo Laine

Sign in / Sign up

Export Citation Format

Share Document