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.
Radwan A.G., Elwakil A.S.
Circuit theory; Hyperbolic functions; Fractional order; Generalized exponential functions; Generalized hyperbolic functions; Integer order; Sine functions; Exponential functions
2011 20th European Conference on Circuit Theory and Design, ECCTD 2011, Art. No. 6043856, PP. 85 to 89, Doi: 10.1109/ECCTD.2011.6043856