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Generalized class of k-starlike functions of order $\alpha$ related to a quantum calculus operator

Jenifer Arulmani, Selvaraj Chellaian
2020 Malaya Journal of Matematik  
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 δ p,q and the subclass k − S * (α, δ , p, q) using the operator R δ p,q . 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.
doi:10.26637/mjm0804/0066 fatcat:gan47f5vwbhg3i6ccgpn65axlu