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The q-pell Hyperbolic Functions

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dc.creator Guncan, A.
dc.creator Akduman, S.
dc.date 2012-01-01T01:00:00Z
dc.date.accessioned 2021-12-03T11:20:26Z
dc.date.available 2021-12-03T11:20:26Z
dc.identifier 3c619cc3-2e4d-4380-9acb-728bd9513b97
dc.identifier 10.1063/1.4756298
dc.identifier https://avesis.sdu.edu.tr/publication/details/3c619cc3-2e4d-4380-9acb-728bd9513b97/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/91026
dc.description In 2005 Stakhov and Rozin introduced a new class of hyperbolic functions which is called Fibonacci hyperbolic functions. The aim of this study to give q-analogue of the Pell hyperbolic functions. These functions can be regarded as q extensions of classical hyperbolic functions. We introduce the q-analogue of classical Silver ratio as follow delta(q) = 1+q(n-1)/2 + root 4q(n-2)+(1+q(n-1))(2)/2 , n >= 2. Making use of this q-analogue of the Silver ratio, we defined sin P(q)h(x) and cos P(q)h(x) functions. We investigated some properties and gave some relationships between these functions.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title The q-pell Hyperbolic Functions
dc.type info:eu-repo/semantics/conferenceObject


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