Reality of the zeros of derivatives of a meromorphic function

1979 ◽  
pp. 153-157
Author(s):  
Simon Hellerstein ◽  
Jack Williamson
Keyword(s):  
Meromorphic Function ◽  
Derivatives Of ◽  
Zeros Of Derivatives

Non-real zeros of derivatives of real meromorphic functions of infinite order

2010 ◽  
Vol 150 (2) ◽  
pp. 343-351 ◽  
Author(s):  
J. K. LANGLEY
Keyword(s):  
Meromorphic Function ◽  
Infinite Order ◽  
Meromorphic Functions ◽  
Real Zeros ◽  
Derivatives Of ◽  
Real Poles ◽  
Zeros Of Derivatives

AbstractLet f be a real meromorphic function of infinite order in the plane, with finitely many zeros and non-real poles. Then f″ has infinitely many non-real zeros.

scholarly journals Zeros of derivatives of sum of Dirichlet L-functions

2009 ◽  
Vol 129 (11) ◽  
pp. 2743-2746
Author(s):  
Haseo Ki ◽  
Yoonbok Lee
Keyword(s):  
Derivatives Of ◽  
Zeros Of Derivatives

On the zeros of derivatives of Bessel functions

1983 ◽  
Vol 34 (6) ◽  
pp. 774-786 ◽  
Author(s):  
�rp�d Elbert ◽  
Andrea Laforgia
Keyword(s):  
Bessel Functions ◽  
Derivatives Of ◽  
Zeros Of Derivatives

scholarly journals A note on Mues' conjecture

2001 ◽  
Vol 27 (7) ◽  
pp. 425-427
Author(s):  
Indrajit Lahiri
Keyword(s):  
Meromorphic Function ◽  
Higher Order ◽  
Transcendental Meromorphic Function ◽  
Higher Power ◽  
Derivatives Of

We prove that Mues' conjecture holds for the second- and higher-order derivatives of a square and higher power of any transcendental meromorphic function.

On the Zeros of Derivatives of Bessel Functions

1988 ◽  
Vol 19 (6) ◽  
pp. 1450-1454 ◽  
Author(s):  
Lee Lorch ◽  
Peter Szego
Keyword(s):  
Bessel Functions ◽  
Derivatives Of ◽  
Zeros Of Derivatives
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