Transient-time fractional-space trigonometry and application

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

Confrence Paper

Source

2011 20th European Conference on Circuit Theory and Design, ECCTD 2011, Art. No. 6043856, PP. 85 to 89, Doi: 10.1109/ECCTD.2011.6043856

Scopus Link

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