Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On Analytic Multivalent Function Associated with Cosine Hyperbolic Function

Version 1 : Received: 28 March 2021 / Approved: 29 March 2021 / Online: 29 March 2021 (14:49:08 CEST)

How to cite: MUHAMMAD, A. On Analytic Multivalent Function Associated with Cosine Hyperbolic Function. Preprints 2021, 2021030702 (doi: 10.20944/preprints202103.0702.v1). MUHAMMAD, A. On Analytic Multivalent Function Associated with Cosine Hyperbolic Function. Preprints 2021, 2021030702 (doi: 10.20944/preprints202103.0702.v1).

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

Subject

MATHEMATICS & COMPUTER SCIENCE, Other

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.