The generalized exponential function and fractional trigonometric identities

Handle URI:
http://hdl.handle.net/10754/577141
Title:
The generalized exponential function and fractional trigonometric identities
Authors:
Radwan, Ahmed G.; Elwakil, Ahmed S.
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.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2011 20th European Conference on Circuit Theory and Design (ECCTD)
Conference/Event name:
2011 20th European Conference on Circuit Theory and Design, ECCTD 2011
Issue Date:
Aug-2011
DOI:
10.1109/ECCTD.2011.6043856
Type:
Conference Paper
ISBN:
9781457706189
Appears in Collections:
Conference Papers; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorRadwan, Ahmed G.en
dc.contributor.authorElwakil, Ahmed S.en
dc.date.accessioned2015-09-10T14:19:50Zen
dc.date.available2015-09-10T14:19:50Zen
dc.date.issued2011-08en
dc.identifier.isbn9781457706189en
dc.identifier.doi10.1109/ECCTD.2011.6043856en
dc.identifier.urihttp://hdl.handle.net/10754/577141en
dc.description.abstractIn 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.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.titleThe generalized exponential function and fractional trigonometric identitiesen
dc.typeConference Paperen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journal2011 20th European Conference on Circuit Theory and Design (ECCTD)en
dc.conference.date29 August 2011 through 31 August 2011en
dc.conference.name2011 20th European Conference on Circuit Theory and Design, ECCTD 2011en
dc.conference.locationLinkopingen
dc.contributor.institutionDept. of Mathematical Engineering, Cairo University, Egypten
dc.contributor.institutionDepartment of Electrical and Computer Engineering, University of Sharjah, P.O. Box 27272, Sharjah, United Arab Emiratesen
kaust.authorRadwan, Ahmed G.en
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.