Exact Discrete Analogs of Derivatives of Integer Orders: Differences as Infinite Series

New differences of integer orders, which are connected with derivatives of integer orders not approximately, are proposed. These differences are represented by infinite series. A characteristic property of the suggested differences is that its Fourier series transforms have a power-law form. We demo...

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Bibliographic Details
Main Author: Vasily E. Tarasov
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2015/134842