The Fox–Wright functions and Laguerre multiplier sequences

https://doi.org/10.1016/j.jmaa.2005.03.058Get rights and content
Under an Elsevier user license
open archive

Abstract

Linear operators which (1) preserve the reality of zeros of polynomials having only real zeros and (2) map stable polynomials into stable polynomials are investigated using recently established results concerning the zeros of certain Fox–Wright functions and generalized Mittag-Leffler functions. The paper includes several open problems and questions.

Keywords

Zeros of generalized Mittag-Leffler functions
Fox–Wright functions
Multiplier sequences
Laguerre–Pólya class

Cited by (0)