Zeros of the derivatives of entire functions with Hadamard gaps
R. M. Gethner, L. R. Sons (1986)
Matematički Vesnik
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Displaying similar documents to “Inequalities for zeros of entire functions.”
Zeros of the derivatives of entire functions with Hadamard gaps
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The Laguerre inequality and the distribution of zeros of real entire functions are investigated with the aid of certain infinite-order differential operators. The paper includes new proofs, problems, conjectures and many illustrative examples and counterexamples.
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Gundersen, Gary G. (2001)
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On the Location of Zeros of Solutions of f'' + A(z)f = 0 where A(z) is Entire.
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Entire Functions of Unbounded Index and Having Simple Zeros.
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Non-real zeros of real entire functions.
P.X. Gallagher (1965)
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The generalized Laguerre inequalities and functions in the Laguerre-Pólya class
George Csordas, Anna Vishnyakova (2013)
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The principal goal of this paper is to show that the various sufficient conditions for a real entire function, φ(x), to belong to the Laguerre-Pólya class (Definition 1.1), expressed in terms of Laguerre-type inequalities, do not require the a priori assumptions about the order and type of φ(x). The proof of the main theorem (Theorem 2.3) involving the generalized real Laguerre inequalities, is based on a beautiful geometric result, the Borel-Carathédodory Inequality (Theorem 2.1), and...