Malatya Functions: Symmetric Functions Obtained by Applying Fractional Order Derivative to Karcı Entropy

Year 2017, Volume: 2 Issue: 2, 1 - 8, 30.12.2017

Ali Karci

Abstract

Shannon
applied derivative to a special probability function and obtained entropy
definition. Karcı converted the derivative with fractional order derivative and
obtained a new definition for entropy. In this study, the fractional order of
derivative were selected as complex number and symmetric function were
obtained. Some of them were illustrated in this study, and it is known that
there are infinite symmetric functions obtained by this way.

Keywords

Fractional Calculus, Fractional Order Derivative, Entropy, Symmetric Functions

References

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