Zeros of Derivatives of Real Meromorphic Functions

Jim Langley

doi:10.1007/bf03321825

Zeros of Derivatives of Real Meromorphic Functions

Computational Methods and Function Theory ◽

10.1007/bf03321825 ◽

2012 ◽

Vol 12 (1) ◽

pp. 241-256 ◽

Cited By ~ 1

Author(s):

Jim Langley

Keyword(s):

Meromorphic Functions ◽

Derivatives Of ◽

Zeros Of Derivatives

Non-real zeros of derivatives of real meromorphic functions

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-09-09979-1 ◽

2009 ◽

Vol 137 (10) ◽

pp. 3355-3355 ◽

Cited By ~ 5

Author(s):

J. K. Langley

Keyword(s):

Meromorphic Functions ◽

Real Zeros ◽

Derivatives Of ◽

Zeros Of Derivatives

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

Mathematical Proceedings of the Cambridge Philosophical Society ◽

10.1017/s030500411000054x ◽

2010 ◽

Vol 150 (2) ◽

pp. 343-351 ◽

Cited By ~ 4

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.

Non-real zeros of derivatives of meromorphic functions

Journal d Analyse Mathématique ◽

10.1007/s11854-017-0031-6 ◽

2017 ◽

Vol 133 (1) ◽

pp. 183-228

Author(s):

J. K. Langley

Keyword(s):

Meromorphic Functions ◽

Real Zeros ◽

Derivatives Of ◽

Zeros Of Derivatives

Real zeros of derivatives of meromorphic functions and solutions of differential equations — A survey with problems and conjectures

Lecture Notes in Mathematics - Complex Analysis I ◽

10.1007/bfb0078352 ◽

1987 ◽

pp. 197-209

Author(s):

Simon Hellerstein

Keyword(s):

Differential Equations ◽

Meromorphic Functions ◽

Real Zeros ◽

Derivatives Of ◽

Zeros Of Derivatives

Zeros of Derivatives of Meromorphic Functions

Computational Methods and Function Theory ◽

10.1007/bf03321774 ◽

2010 ◽

Vol 10 (2) ◽

pp. 421-439 ◽

Cited By ~ 5

Author(s):

James Langley

Keyword(s):

Meromorphic Functions ◽

Derivatives Of ◽

Zeros Of Derivatives

Zeros of derivatives of meromorphic functions with one pole

Complex Variables Theory and Application An International Journal ◽

10.1080/17476939808815138 ◽

1998 ◽

Vol 37 (1-4) ◽

pp. 279-369 ◽

Cited By ~ 1

Author(s):

A. Hinkkanen

Keyword(s):

Meromorphic Functions ◽

Derivatives Of ◽

Zeros Of Derivatives

Real zeros of derivatives of meromorphic functions and solutions of second order differential equations

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1984-0752502-1 ◽

1984 ◽

Vol 285 (2) ◽

pp. 759-759 ◽

Cited By ~ 11

Author(s):

Simon Hellerstein ◽

Li-Chien Shen ◽

Jack Williamson

Keyword(s):

Differential Equations ◽

Meromorphic Functions ◽

Second Order ◽

Real Zeros ◽

Second Order Differential Equations ◽

Derivatives Of ◽

Zeros Of Derivatives

Zeros of derivatives of strictly nonreal meromorphic functions

Illinois Journal of Mathematics ◽

10.1215/00192082-8513350 ◽

2020 ◽

Vol 64 (2) ◽

pp. 261-290

Author(s):

J. K. Langley

Keyword(s):

Meromorphic Functions ◽

Derivatives Of ◽

Zeros Of Derivatives

Zeros of derivatives of Gaussian random polynomials on plane domains

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125229 ◽

2021 ◽

pp. 125229

Author(s):

Yu Wang ◽

Tao Jiang

Keyword(s):

Random Polynomials ◽

Derivatives Of ◽

Zeros Of Derivatives

Derivatives of Meromorphic Functions with Multiple Zeros and Rational Functions

Computational Methods and Function Theory ◽

10.1007/bf03321700 ◽

2007 ◽

Vol 8 (2) ◽

pp. 483-491 ◽

Cited By ~ 9

Author(s):

Xuecheng Pang ◽

Shahar Nevo ◽

Lawrence Zalcman

Keyword(s):

Meromorphic Functions ◽

Rational Functions ◽

Multiple Zeros ◽

Derivatives Of