Generalized class of \(k\)-starlike functions of order \(\alpha\) related to a quantum calculus operator
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DOI:
https://doi.org/10.26637/MJM0804/0066Abstract
Post quantum calculus or \((p, q)\)-calculus is the generalisation of the quantum calculus ( \(q\)-calculus). In this paper we define Rucheweyh post-quantum differential operator \(R_{p, q}^\delta\) and the subclass \(k-S^*(\alpha, \delta, p, q)\) using the operator \(R_{p, q}^\delta\). We prove necessary and sufficient condition for a function to be in the subclass, convolution condition, discuss interesting properties such as sharp coefficient bounds and solve Fekete Szego problem.
Keywords:
Starlike, quantum calculus, differential operator, Rucheweyh operatorMathematics Subject Classification:
Mathematics- Pages: 1713-1718
- Date Published: 01-10-2020
- Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
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