On Janowski Starlike Functions
Copyright policy )On Janowski Starlike Functions
Applying the fractional calculus to analytic functions \(f(z)\) defined on the open unit disc \(U\) with \(f(0)=0\) and \(f^\prime(0)=1\) [cf. \textit{W. Janowski}, Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 21, 17--25 (1973; Zbl 0252.30021)], the authors introduce a new fractional operator \(D^\lambda f(z)\) and define a subclass of the class of functions \(f(z)=z+\sum_{n=2}^\infty a_nz^n\) analytic in \(U\) associated with Janowski functions and investigate some of their properties.
- Kindai University Japan
- Istanbul Kültür University Turkey
Applied Mathematics, Norms (inequalities, more than one norm, etc.) of linear operators, fractional calculus, fractional operator, analytic function, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Janowski function, QA1-939, Discrete Mathematics and Combinatorics, Starlike functions, Mathematics, Analysis
Applied Mathematics, Norms (inequalities, more than one norm, etc.) of linear operators, fractional calculus, fractional operator, analytic function, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Janowski function, QA1-939, Discrete Mathematics and Combinatorics, Starlike functions, Mathematics, Analysis
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