scholarly journals A one-parameter family of Pick functions defined by the Gamma function and related to the volume of the unit ball in $n$-space

2010 ◽  
Vol 139 (6) ◽  
pp. 2121-2132 ◽  
Author(s):  
Christian Berg ◽  
Henrik L. Pedersen
Keyword(s):  
Unit Ball ◽  
Gamma Function ◽  
Parameter Family ◽  
Pick Functions

scholarly journals Pick Functions Related to the Gamma Function

2002 ◽  
Vol 32 (2) ◽  
pp. 507-525 ◽  
Author(s):  
Christian Berg ◽  
Henrik L. Pedersen
Keyword(s):  
Gamma Function ◽  
Pick Functions

scholarly journals Pick functions related to the triple Gamma function

2017 ◽  
Vol 455 (2) ◽  
pp. 1124-1138
Author(s):  
Sourav Das ◽  
Henrik L. Pedersen ◽  
A. Swaminathan
Keyword(s):  
Gamma Function ◽  
Pick Functions

ON THE INCOMPLETE GAMMA FUNCTION AND ITS NEUTRIX CONVOLUTION FOR NEGATIVE INTEGERS

2019 ◽  
Vol 10 (1) ◽  
pp. 30-51
Author(s):  
Mongkolsery Lin ◽  
◽  
Brian Fisher ◽  
Somsak Orankitjaroen ◽  
◽  
...  
Keyword(s):  
Gamma Function ◽  
Incomplete Gamma Function

Holomorphically embedded discs with rapidly growing area

1999 ◽  
Vol 129 (2) ◽  
pp. 343-349
Author(s):  
Josip Globevnik
Keyword(s):  
Unit Ball ◽  
Open Unit ◽  
Open Unit Ball

It is shown that if V is a closed submanifold of the open unit ball of ℂ2 biholomorphically equivalent to a disc, then the area of V ∩ r can grow arbitrarily rapidly as r ↗ 1. It is also shown that if V is a closed submanifold of ℂ2 biholomorphically equivalent to a disc, then the area of V ∩ r can grow arbitrarily rapidly as r ↗ ∞.

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