The generalized exponential function and fractional trigonometric identities

Abstract

In this work, we recall the generalized exponential function in the fractional-order domain which enables defining generalized cosine and sine functions. We then re-visit some important trigonometric identities and generalize them from the narrow integer-order subset to the more general fractional-order domain. Generalized hyperbolic function relations are also given. © 2011 IEEE.

Authors

Radwan A.G., Elwakil A.S.

Document Type

Source

2011 20th European Conference on Circuit Theory and Design, ECCTD 2011, Doi:10.1109/ECCTD.2011.6043856

Scopus Link

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