Submitted:
28 March 2021
Posted:
29 March 2021
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Abstract
In this article, we set up some adequate conditions for analytic functions associated with cosine hyperbolic function. We determine conditions on α such that
1+α (ϰ^(2+P(j-1) ) g^' (ϰ))/(Pg^j (ϰ)),for each j=0,1,2,3
are subordinated by Janowski function, then (g(ϰ))/ϰ^P <cosℏ(ϰ),(ϰ∈C). By choosing specific values of functions g we get some adequate conditions for multivalent starlike function related with cosine hyperbolic.
Keywords:
Multivalent functions
; Janowski function
; Trigonometric functions
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