Non-Real Zeros of Derivatives of Real Entire Functions and Some Pólya-Wiman Conjectures

2000 ◽  
pp. 389-397
Author(s):  
Stephanie Edwards ◽  
Simon Hellerstein
Keyword(s):  
Entire Functions ◽  
Real Zeros ◽  
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.

The Zeros of Derivatives of Entire Functions and the Pólya-Wiman Conjecture

1987 ◽  
Vol 125 (2) ◽  
pp. 405 ◽  
Author(s):  
Thomas Craven ◽  
George Csordas ◽  
Wayne Smith
Keyword(s):  
Entire Functions ◽  
Derivatives Of ◽  
Zeros Of Derivatives

On Zeros of Derivatives of Polynomials

1968 ◽  
Vol 11 (3) ◽  
pp. 443-445 ◽  
Author(s):  
A. Meir ◽  
A. Sharma
Keyword(s):  
Real Zeros ◽  
Derivatives Of ◽  
Derivative Of A Polynomial ◽  
Zeros Of Derivatives

In an earlier paper [2], we raised the question of determining the minimum span of the kth derivative of a polynomial with real zeros having a given span. More precisely let πn, s denote the class of polynomials , with x1 ≤ x2 ≤ … ≤ xn, and the span σ(P) ≡xn - x1 = 2s (fixed).

scholarly journals Zeros of derivatives of entire functions

1987 ◽  
Vol 101 (2) ◽  
pp. 323-323 ◽  
Author(s):  
Thomas Craven ◽  
George Csordas ◽  
Wayne Smith
Keyword(s):  
Entire Functions ◽  
Derivatives Of ◽  
Zeros Of Derivatives
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