Bi-Univalent Functions of Complex Order Defined by Hohlov Operator Associated with $(\mathcal {P,Q})-$Lucas Polynomial

Author(s):

Elumalai Muthaiyan *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
On this study, two new subclasses of the function class $\Xi$ of bi-univalent functions of complex order defined in the open unit disc are introduced and investigated. These subclasses are connected to the Hohlov operator with $(\mathcal {P,Q})-$Lucas polynomial and meet subordinate criteria. For functions in these new subclasses, we also get estimates for the Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$. The results are also discussed as having a number of (old or new) repercussions.
Keywords:

Analytic functions , Univalent functions , Bi-univalent functions , Bi-starlike , bi-convex functions , Hohlov operator , Gaussian hypergeometric function , (P , Q)-Lucas polynomial

Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:21 Issue: 1, Winter 2024
Pages:
273 to 289
https://magiran.com/p2662429