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. Preprints2021, 2021030702. https://doi.org/10.20944/preprints202103.0702.v1
MUHAMMAD, A. On Analytic Multivalent Function Associated with Cosine Hyperbolic Function. Preprints 2021, 2021030702. https://doi.org/10.20944/preprints202103.0702.v1
MUHAMMAD, A. On Analytic Multivalent Function Associated with Cosine Hyperbolic Function. Preprints2021, 2021030702. https://doi.org/10.20944/preprints202103.0702.v1
APA Style
MUHAMMAD, A. (2021). On Analytic Multivalent Function Associated with Cosine Hyperbolic Function. Preprints. https://doi.org/10.20944/preprints202103.0702.v1
Chicago/Turabian Style
MUHAMMAD, A. 2021 "On Analytic Multivalent Function Associated with Cosine Hyperbolic Function" Preprints. https://doi.org/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.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
