The Nevanlinna Class 𝒩 and its Subclass 𝒩 + [71, p. 20]

2021 ◽  
pp. 221-223
Keyword(s):  
Nevanlinna Class

Zero Varieties for the Nevanlinna Class in Convex Domains of Finite Type in \Bbb C n

1998 ◽  
Vol 147 (2) ◽  
pp. 391 ◽  
Author(s):  
Joaquim Bruna ◽  
Philippe Charpentier ◽  
Yves Dupain
Keyword(s):  
Finite Type ◽  
Convex Domains ◽  
Nevanlinna Class

scholarly journals A note on the phase retrieval of holomorphic functions

2020 ◽  
pp. 1-8
Author(s):  
Rolando Perez
Keyword(s):  
Unit Circle ◽  
Connected Domain ◽  
Unit Disc ◽  
Phase Retrieval ◽  
Holomorphic Functions ◽  
Nevanlinna Class

Abstract We prove that if f and g are holomorphic functions on an open connected domain, with the same moduli on two intersecting segments, then $f=g$ up to the multiplication of a unimodular constant, provided the segments make an angle that is an irrational multiple of $\pi $ . We also prove that if f and g are functions in the Nevanlinna class, and if $|f|=|g|$ on the unit circle and on a circle inside the unit disc, then $f=g$ up to the multiplication of a unimodular constant.

Boundary behaviour of functions of Nevanlinna class

2004 ◽  
Vol 53 (2) ◽  
pp. 347-396 ◽  
Author(s):  
A. Bourhim ◽  
O. El-Fallah ◽  
K. Kellay
Keyword(s):  
Boundary Behaviour ◽  
Nevanlinna Class
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