On Some Interesting Classes of Analytic Functions Related to Univalent Functions

MATHEMATICS(2024)

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摘要
Let A over bar be the new general class of functions f(z) of the form f(z) = z + Sigma(infinity)(k=1)a(1+k/2)z(1+k/2) that are analytic in the open unit disc U. In the present paper, for f(z) is an element of A over bar , we consider classes S*(alpha), C (alpha) and R(alpha) and obtain some interesting properties of f(z) is an element of A over bar concerning S*(alpha), C (alpha) and R(alpha), applying subordinations of f(z).
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关键词
analytic function,starlike of order alpha,convex of order alpha,univalent,subordination
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