## Kaliyappan Vijaya ; Gangadharan Murugusundaramoorthy ; Hatun Özlem Güney - On $\lambda-$ Pseudo bi-starlike functions related with Fibonacci numbers

cm:10870 - Communications in Mathematics, February 14, 2023, Volume 32 (2024), Issue 1 - https://doi.org/10.46298/cm.10870
On $\lambda-$ Pseudo bi-starlike functions related with Fibonacci numbers

Authors: Kaliyappan Vijaya ; Gangadharan Murugusundaramoorthy ; Hatun Özlem Güney

In this paper we define a new subclass $\lambda$-bi-pseudo-starlike functions of $\Sigma$ related to shell-like curves connected with Fibonacci numbers and determine the initial Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$ for $f\in\mathcal{PSL}_{\Sigma}^\lambda(\tilde{p}(z)).$ Further we determine the Fekete-Szegö result for the function class $\mathcal{PSL}_{\Sigma}^\lambda(\tilde{p}(z))$ and for special cases, corollaries are stated which some of them are new and have not been studied so far.

Volume: Volume 32 (2024), Issue 1
Published on: February 14, 2023
Accepted on: January 30, 2023
Submitted on: January 30, 2023
Keywords: Mathematics - Complex Variables,30C45