Malaysian Journal of Mathematical Sciences, January 2019, Vol. 13, No. 1
Sigmoid Function in the Space of Univalent \(\lambda\)-Pseudo-\((p,q)\)-Derivative Operators Related to Shell-Like Curves Connected with Fibonacci Numbers of Sakaguchi Type Functions
Olatunji, S. O. and Dutta, H.
Corresponding Email: hemen_dutta08@rediffmail.com
Received date: 27 October 2018
Accepted date: 10 January 2019
Abstract:
In this work, sigmoid function in the space of univalent \(\lambda\)-Pseudo-\((p,q)\)-derivative operators related to shell-like curves connected with Fibonacci number of Sakaguchi type functions have been investigated. The initial coefficient bounds for \(\left | a_2 \right |\) and \(\left | a_3 \right |\) are obtained. The relevant connection to Fekete-Szegö inequalities for the class defined are further determined and some new corollaries are also given.
Keywords: Analytic function, Univalent function, \(\lambda\)-\((p,q)\)derivative operator, Subordination, Fibonacci numbers, Shell-like curves
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