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Subclasses of Starlike Functions with a Fixed Point Involving q-hypergeometric Function |
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PP: 41-47 |
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doi:10.18576/jant/040107
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Author(s) |
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G. Murugusundaramoorthy,
K. Vijaya,
T. Janani,
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Abstract |
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| Recently, Kanas and Ronning introduced the classes of functions starlike and convex, which are normalized with f (w) =
f ′(w)−1 = 0, w is a fixed point in the open disc D = {z ∈ C : |z| < 1}. The aim of this paper is to continue this investigation and
introduce a new class ST ml
(a,b ,w), of functions which are analytic in D .We obtain various results including coefficients estimates,
distortion and covering theorems, radii of close-to-convexity, starlikeness and convexity for functions belonging to this class. |
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