Problems and Theorems in the Theory of Multiplier Sequences

Craven, Thomas; Csordas, George

Serdica Mathematical Journal (1996)

  • Volume: 22, Issue: 4, page 515-524
  • ISSN: 1310-6600

Abstract

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The purpose of this paper is (1) to highlight some recent and heretofore unpublished results in the theory of multiplier sequences and (2) to survey some open problems in this area of research.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.

How to cite

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Craven, Thomas, and Csordas, George. "Problems and Theorems in the Theory of Multiplier Sequences." Serdica Mathematical Journal 22.4 (1996): 515-524. <http://eudml.org/doc/11649>.

@article{Craven1996,
abstract = {The purpose of this paper is (1) to highlight some recent and heretofore unpublished results in the theory of multiplier sequences and (2) to survey some open problems in this area of research.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.},
author = {Craven, Thomas, Csordas, George},
journal = {Serdica Mathematical Journal},
keywords = {Laguerre-Pólya Class; Multiplier Sequences; Distribution of Zeros of Entire Functions; λ-Sequences; Laguerre-Pólya class; multiplier sequences; distribution of zeros of entire functions; -sequences},
language = {eng},
number = {4},
pages = {515-524},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Problems and Theorems in the Theory of Multiplier Sequences},
url = {http://eudml.org/doc/11649},
volume = {22},
year = {1996},
}

TY - JOUR
AU - Craven, Thomas
AU - Csordas, George
TI - Problems and Theorems in the Theory of Multiplier Sequences
JO - Serdica Mathematical Journal
PY - 1996
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 22
IS - 4
SP - 515
EP - 524
AB - The purpose of this paper is (1) to highlight some recent and heretofore unpublished results in the theory of multiplier sequences and (2) to survey some open problems in this area of research.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.
LA - eng
KW - Laguerre-Pólya Class; Multiplier Sequences; Distribution of Zeros of Entire Functions; λ-Sequences; Laguerre-Pólya class; multiplier sequences; distribution of zeros of entire functions; -sequences
UR - http://eudml.org/doc/11649
ER -

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