Some general properties of analytic and p-valent functions

FILOMAT(2024)

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摘要
Let A(p) be the class of functions f (z) of the formf(z) = z(p) + a(p+1)z(p+1) + a(p+2)z(p+2) + . . . , (p is an element of N = {1, 2, 3, . . .})which are analytic in the open unit disc U. In this article, we consider some generalization properties of the functions in A(p) and generalize results by applying fractional derivatives.
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关键词
convex of order alpha,starlike of order alpha,fractional derivative,analytic
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