Geodesic
Problems and Theorems in the Theory of Multiplier Sequences
Serdica Mathematical Journal, Tome 22 (1996) no. 4, pp. 515-524.

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The purpose of this paper is (1) to highlight some recent and heretofore unpublished results in the theory of multiplier sequences and (2) to survey some open problems in this area of research. For the sake of clarity of exposition, we have grouped the problems in three subsections, although several of the problems are interrelated. For the reader’s convenience, we have included the pertinent definitions, cited references and related results, and in several instances, elucidated the problems by examples.
Keywords: Laguerre-Pólya Class, Multiplier Sequences, Distribution of Zeros of Entire Functions, λ-Sequences 
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Craven, Thomas; Csordas, George. Problems and Theorems in the Theory of Multiplier Sequences. Serdica Mathematical Journal, Tome 22 (1996) no. 4, pp. 515-524. http://geodesic.mathdoc.fr/item/SMJ2_1996_22_4_a2/