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The Fox-Wright functions and Laguerre multiplier sequences
Authors:Thomas Craven  George Csordas
Affiliation:Department of Mathematics, University of Hawaii, Honolulu, HI 96822, USA
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-Pó  lya class
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