Determining bounds on the values of parameters for a function \(f^{(m,a)}(z) =\sum _{k=0}^\infty \frac{z^k}{a^{k^2}}(k!)^{m}, {m} \in (0,1),\) to belong to the Laguerre-Pólya class
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Publication:1745950
DOI10.1007/s40315-017-0210-6zbMath1392.30011OpenAlexW2734940825MaRDI QIDQ1745950
Publication date: 18 April 2018
Published in: Computational Methods and Function Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40315-017-0210-6
Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Special classes of entire functions of one complex variable and growth estimates (30D15)
Related Items
On the conditions for a special entire function related to the partial theta-function and the \(q\)-Kummer functions to belong to the Laguerre-Pólya class ⋮ On the entire functions from the Laguerre-Pólya class having the decreasing second quotients of Taylor coefficients ⋮ On a necessary condition for an entire function with the increasing second quotients of Taylor coefficients to belong to the Laguerre-Pólya class ⋮ On the closest to zero roots and the second quotients of Taylor coefficients of entire functions from the Laguerre-Pólya I class ⋮ On the number of real zeros of real entire functions with a non-decreasing sequence of the second quotients of Taylor coefficients
Cites Work
- On the conditions for entire functions related to the partial theta function to belong to the Laguerre-Pólya class
- On power series having sections with only real zeros
- AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
- A Miniature Theory in Illustration of the Convolution Transform
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