Bohr Radius Problems for Some Classes of Analytic Functions Using Quantum Calculus Approach

Om Ahuja, Swati Anand and Naveen Kumar Jain
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Om Ahuja: Department of Mathematics, Kent State University, Kent, OH 44021-9500, USA
Swati Anand: Department of Mathematics, University of Delhi, Delhi 110007, India
Naveen Kumar Jain: Department of Mathematics, Aryabhatta College, Delhi 110021, India

Mathematics, 2020, vol. 8, issue 4, 1-14

Abstract: The main purpose of this investigation is to use quantum calculus approach and obtain the Bohr radius for the class of q -starlike ( q -convex) functions of order α . The Bohr radius is also determined for a generalized class of q -Janowski starlike and q -Janowski convex functions with negative coefficients.

Keywords: q -Bohr radius; q -Janowski starlike functions; q -Janowski convex functions; q -starlike functions of order ?; q -convex functions of order ?; q -derivative (or q -difference) operator; quantum calculus approach (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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