On Oblique Domains of Janowski Function

S. Sivaprasad Kumar; Pooja Yadav

On Oblique Domains of Janowski Function

Complex Variables 2021-04-20 v1

Authors: S. Sivaprasad Kumar , Pooja Yadav

Abstract

We investigate certain properties of tilted (oblique) domains, associated with the Janowski function $(1+Az)/(1+Bz),$ where $A,B\in\mathbb{C}$ with $A\neq B$ and $|B|\leq 1$ . We find several bounds for these oblique domains. Further, we extend the various known argument, radius, and subordination results involving Janowski functions with complex parameters.

Cite

@article{arxiv.2104.08533,
  title  = {On Oblique Domains of Janowski Function},
  author = {S. Sivaprasad Kumar and Pooja Yadav},
  journal= {arXiv preprint arXiv:2104.08533},
  year   = {2021}
}

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