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Operator Bezoutiant and roots of entire functions, concrete examples
Author(s) -
Sakhnovich L. A.
Publication year - 2012
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200910233
Subject(s) - mathematics , hypergeometric function , bessel function , operator (biology) , pure mathematics , entire function , algebra over a field , mathematical analysis , biochemistry , chemistry , repressor , transcription factor , gene
In this paper we investigate the properties of the operator Bezoutiant. We omit the assumption that the operator Bezoutiant is normally solvable.We investigate the following problems: describing the conditions under which two entire functions have no common zeroes, extending the Schur‐Cohn theorem to new classes of entire functions. We apply the general results to the theory of Bessel and confluent hypergeometric functions.