scientific article; zbMATH DE number 2195946

zbMath1078.30022MaRDI QIDQ5464879

Anna M. Vishnyakova, Olga M. Katkova, Tetyana Lobova

Publication date: 19 August 2005

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

entire functionspolynomials with real zerossections of entire functions

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10) Special classes of entire functions of one complex variable and growth estimates (30D15)

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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 entire functions from the Laguerre-Pólya I class with non-monotonic second quotients of Taylor coefficients ⋮ On the entire functions from the Laguerre-Pólya class having the decreasing second quotients of Taylor coefficients ⋮ On the conditions for entire functions related to the partial theta function to belong to the Laguerre-Pólya class ⋮ Hardy-Petrovitch-Hutchinson's problem and partial theta function ⋮ 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 ⋮ On the entire functions from the Laguerre-Pólya I class having the increasing 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

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