A Generalised Class Of Analytic Functions Defined By Q-Analogue Of Fractional Calculus Operator

ANURADHA VISHNOI; ARVIND KUMAR SHARMA; REETESH AGARWAL

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A Generalised Class Of Analytic Functions Defined By Q-Analogue Of Fractional Calculus Operator

Author(s)	Ms. ANURADHA VISHNOI, Prof. Dr. ARVIND KUMAR SHARMA, Dr. REETESH AGARWAL
Country	India
Abstract	The aim of this paper is to introduce a generalized class of analytic function defined by q-analogue by using fractional calculus operator. We obtain coefficient estimate, distortion theorems, radii of close to convexity, starlikeness and convexity for functions belonging to the class TB_q^λ (α,β) of analytic starlike and convex functions defined by q-analogue of fractional calculus operator. We further show that closure theorems,N_(k,q,δ) (e,g) neighborhood and partial sums for functions in this class.
Keywords	Analytic functions, Coefficient estimates, Distortion, q – fractional calculus operator, Neighborhoods, Partial sums.
Field	Mathematics
Published In	Volume 8, Issue 1, January-February 2026
Published On	2026-02-06

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A Generalised Class Of Analytic Functions Defined By Q-Analogue Of Fractional Calculus Operator

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