Found 25 Documents (Results 1–25)
A sufficient condition for a complex polynomial to have only simple zeros and an analog of Hutchinson’s theorem for real polynomials. (English) Zbl 1515.30034
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. (English) Zbl 1489.30008
Reviewer: Vladimir P. Kostov (Nice)
On the number of real zeros of real entire functions with a non-decreasing sequence of the second quotients of Taylor coefficients. (English) Zbl 1483.30061
On entire functions from the Laguerre-Pólya I class with non-monotonic second quotients of Taylor coefficients. (English) Zbl 1489.30009
Reviewer: Vladimir P. Kostov (Nice)
On the entire functions from the Laguerre-Pólya I class having the increasing second quotients of Taylor coefficients. (English) Zbl 1461.30068
Reviewer: Vladimir P. Kostov (Nice)
Hermite-Poulain theorems for linear finite difference operators. (English) Zbl 1475.30024
Reviewer: Fahreddin Abdullayev (Mersin)
On the closest to zero roots and the second quotients of Taylor coefficients of entire functions from the Laguerre-Pólya I class. (English) Zbl 1439.30018
Reviewer: Vladimir P. Kostov (Nice)
On a necessary condition for an entire function with the increasing second quotients of Taylor coefficients to belong to the Laguerre-Pólya class. (English) Zbl 1427.30048
On the entire functions from the Laguerre-Pólya class having the decreasing second quotients of Taylor coefficients. (English) Zbl 1391.30040
MSC:
30D15
Zeros of a random analytic function approach perfect spacing under repeated differentiation. (English) Zbl 1380.30002
Reviewer: Chrysoula G. Kokologiannaki (Patras)
On sufficient conditions for a polynomial to be sign-independently hyperbolic or to have real separated zeros. (English) Zbl 1361.30010
MSC:
30C15
On the conditions for entire functions related to the partial theta function to belong to the Laguerre-Pólya class. (English) Zbl 1327.30029
MSC:
30D15
Multiplier sequences, classes of generalized Bessel functions and open problems. (English) Zbl 1330.30015
Reviewer: Olga M. Katkova (Boston)
Arguments of zeros of highly log concave polynomials. (English) Zbl 1277.26021
Reviewer: Małgorzata Wróbel (Czȩstochowa)
The distribution of zeros of a class of Jacobi polynomials. (English) Zbl 1215.33004
Reviewer: Alicia Cachafeiro López (Vigo)
Solution of the Karlin problem for zero-diminishing sequences satisfying a Carleman condition. (English) Zbl 1204.30023
The Fox-Wright functions and Laguerre multiplier sequences. (English) Zbl 1081.30030
Reviewer: Wolfram Koepf (Kassel)
Karlin’s conjecture and a question of Pólya. (English) Zbl 1079.30029
Reviewer: Olga M. Katkova (Kharkov)
A new property of a class of Jacobi polynomials. (English) Zbl 1078.33005
Reviewer: Wolfram Koepf (Kassel)
Almost strict total positivity and a class of Hurwitz polynomials. (English) Zbl 1072.15028
Reviewer: John D. Dixon (Ottawa)
On power series having sections with only real zeros. (English) Zbl 1058.30009
Reviewer: Dorin Blezu (Sibiu)
On the zeros of some generalized hypergeometric functions. (English) Zbl 0951.33006
Reviewer: Per W.Karlsson (Lyngby)
MSC:
33C20
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