K-moment problem for recursive sequences of order ∞: Application to the zeros of analytic functions |
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| Authors: | R Ben Taher M Rachidi |
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| Institution: | a Département de Mathématiques et Informatique, Faculté des Sciences, Université Moulay Ismail, BP 4010, Beni M'hamed, Méknés, Morocco
b Mathematics Section, LEGT, F. Arago Académie de Reims, 1, Rue F. Arago, 51100 Reims, France |
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| Abstract: | In this paper we solve the K-moment problem for a family of sequences defined by linear recursive relations of order ∞ indexed by Z. Extension of some known properties are studied and others results are established. Moreover, we paraphrase a fundamental application on the existence of zeros of an analytic function, in terms of the support of the representing measure of the former sequences. |
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| Keywords: | K-moment problem Recursive relations of order &infin Zeros of analytic functions |
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