On the number of non-real zeroes of a homogeneous differential polynomial and a generalisation of the Laguerre inequalities

Mikhail Tyaglov, Mohamed Jalel Atia

Type: Article

Publication Date: 2020-10-01

Citations: 2

DOI: https://doi.org/10.1016/j.jmaa.2020.124652

View Publication

Locations

Journal of Mathematical Analysis and Applications - View

Similar Works

Action	Title	Year	Authors
+	On the number of non-real zeroes of a homogeneous differential polynomial and a generalization of the Laguerre inequalities	2019	Mikhail Tyaglov Mohamed Jalel Atia
+	Inequalities of Laguerre polynomials	2005	Ilia Krasikov
+	A note on the generalised laguerre polynomial	1952	Hari Das Bagchi Bhola Nath Mukherjee
+	A characterization of the Laguerre polynomials	1964	N. Abdul-Halim W. A. Al‐Salam
+	A characterization of the Laguerre polynomials	1962	L. Carlitz
+	The Laguerre Polynomials	1984	Antoni Wawrzyńczyk
+ PDF Chat	On the zeros of a homogeneous differential polynomial	1993	Kazuya Tohge
+ PDF Chat	On the zeros of certain polynomials related to Jacobi and Laguerre polynomials	1932	Wayne Lawton
+	An upper bound for the Laguerre polynomials	1998	Z. Lewandowski Jan Szynal
+	A new bound for the Laguerre polynomials	2001	Małgorzata Michalska Jan Szynal
+	On zero type sets of Laguerre polynomials	1968	James W.H. Brown
+ PDF Chat	A note on the Laguerre polynomials.	1960	L. Carlitz
+	A note on Laguerre polynomials of m-variables	1998	Mumtaz Ahmad Khan A. K. Shukla
+	On the Zeroes of an Algebraic Polynomial and Its Consecutive Derivatives	2001	Bi. Sendov
+	A generalization of the Laguerre polynomials	2022	H. B. Mittal
+	A generalization of the Laguerre polynomials	2021	Asad Ali
+	On the zeros of certain homogeneous differential polynomials	1995	Walter Bergweiler
+	On the zeros of certain homogeneous differential polynomials	1995	V. Bergweiler
+	Laguerre polynomials	1979	V.K. Srinivasan
+ PDF Chat	On the Laguerre Method for Separating the Roots of Algebraic Equations	1957	Stephen Kulik

Works That Cite This (2)

Action	Title	Year	Authors
+	ON THE NUMBER OF REAL ZEROS OF POLYNOMIALS OF EVEN DEGREE	2023	Lande Ma ZHAOKUN MA
+	Some Generalizations of the Hawaii Conjecture and Beyond	2025	Olga Katkova Mikhail Tyaglov Anna Vishnyakova

Works Cited by This (25)

Action	Title	Year	Authors
+	None	2004	Julius Borcea Boris Shapiro
+	Über zwei Arten von Faktorenfolgen in der Theorie der algebraischen Gleichungen.	1914	J. Schur G. PɃlya
+	SOME PROBLEMS CONNECTED WITH FOURIER'S WORK ON TRANSCENDENTAL EQUATIONS	1930	Georg Pólya
+	Non-Real Zeros of Derivatives of Real Entire Functions and Some Pólya-Wiman Conjectures	2000	Stephanie Edwards Simon Hellerstein
+	On the number of nonreal zeros of real entire functions and the Fourier-Pólya conjecture	2000	Haseo Ki Young-One Kim
+	LEVEL SETS OF REAL ENTIRE FUNCTIONS AND THE LAGUERRE INEQUALITIES	1992	George Csordás Wayne Smith Richard S. Varga
+	Non-real zeroes of real entire derivatives	2012	Daniel A. Nicks
+	On the zeros of certain homogeneous differential polynomials	1995	Walter Bergweiler
+ PDF Chat	On the zeros of a homogeneous differential polynomial	1993	Kazuya Tohge
+	Necessary and sufficient conditions and the Riemann hypothesis	1990	George Csordás Richard S. Varga