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

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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