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The q-Fibonacci Hyperbolic Functions

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dc.creator Guncan, A.
dc.creator Erbil, Y.
dc.date 2012-01-01T01:00:00Z
dc.date.accessioned 2021-12-03T11:38:50Z
dc.date.available 2021-12-03T11:38:50Z
dc.identifier 995854bb-8af2-4e49-93b9-6df66ac4fbf5
dc.identifier 10.1063/1.4756299
dc.identifier https://avesis.sdu.edu.tr/publication/details/995854bb-8af2-4e49-93b9-6df66ac4fbf5/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/93522
dc.description In 2005 Stakhov and Rozin introduced a new class of hyperbolic functions which is called Fibonacci hyperbolic functions. In this paper, we study q-analogue of Fibonacci hyperbolic functions. These functions can be regarded as q extensions of classical hyperbolic functions. We introduce the q-analogue of classical Golden ratio as follow phi(q) = 1+root 1+4q(n-2)/2 n >= 2. Making use of this q-analogue of the Golden ratio, we defined sinF(q)h(x) and cosF(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-Fibonacci Hyperbolic Functions
dc.type info:eu-repo/semantics/conferenceObject


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