The generalized exponential function and fractional trigonometric identities

Ahmed G. Radwan; Ahmed S. Elwakil

doi:10.1109/ECCTD.2011.6043856

The generalized exponential function and fractional trigonometric identities

Ahmed G. Radwan, Ahmed S. Elwakil

Physical Sciences and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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.

Original language	English (US)
Title of host publication	2011 20th European Conference on Circuit Theory and Design (ECCTD)
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	85-89
Number of pages	5
ISBN (Print)	9781457706189
DOIs	https://doi.org/10.1109/ECCTD.2011.6043856
State	Published - Aug 2011

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10.1109/ECCTD.2011.6043856

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title = "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. {\textcopyright} 2011 IEEE.",

author = "Radwan, {Ahmed G.} and Elwakil, {Ahmed S.}",

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AU - Elwakil, Ahmed S.

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Y1 - 2011/8

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/577141

UR - http://ieeexplore.ieee.org/document/6043856/

UR - http://www.scopus.com/inward/record.url?scp=80155196451&partnerID=8YFLogxK

U2 - 10.1109/ECCTD.2011.6043856

DO - 10.1109/ECCTD.2011.6043856

M3 - Conference contribution

SN - 9781457706189

SP - 85

EP - 89

BT - 2011 20th European Conference on Circuit Theory and Design (ECCTD)

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

The generalized exponential function and fractional trigonometric identities

Abstract

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