Asian Journal of Mathematics and Computer Research

A NOTE ON FRACTIONAL Q-CALCULUS WITH VARYING ARGUMENTS

N. RAVIKUMAR *

PG Department of Mathematics, JSS College of Arts, Commerce and Science, Mysore - 570 025, India

*Author to whom correspondence should be addressed.

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Abstract

By making use of the concepts of fractional q- calculus, we define the subclasses V(A,B, q, δ) and K(A,B, q, δ) of analytic function by using Ω^δ_qf(z). For functions belonging to these classes, we obtain co-efficeint estimates, distortion bounds and many more properties.

Keywords: Univalent functions, Bernardi operator, fractional derivative, linear operator, q-derivative

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