Abstract
We present and investigate a new subclass of meromorphic univalent functions described by the Rapid operator in this study. Coefficient inequalities is discussed, as well as distortion properties, closure theorems, Hadamard product. After this, integral transforms for the class $\sum^{*}(\vartheta,\varrho,\wp,\theta,\mu)$ are obtained. Σ∗(ϑ,ϱ,λ,θ,μ).
Highlights
Let stands for the function class of the form @(~) = 1 ~ X 1 + a~`; `=1 `2N= f1; 2; 3; g (1)analytic in the punctured unit disc = f~ 2 C : 0 < j~j < 1g = n f0g: A function @ 2 given by (1) is said to be meromorphically starlike of order %if it satis...es the following: < ~@0(~) @(~)
We present and investigate a new subclass of meromorphic univalent functions described by the Rapid operator in this study
Lashin [7] updated their operator for meromorphic functions in the following manner: Lemma 1
Summary
Analytic in the punctured unit disc = f~ 2 C : 0 < j~j < 1g = n f0g: A function @ 2 given by (1) is said to be meromorphically starlike of order %. For some %(0 % < 1): We say that @ is in the class (%) of such functions. A function @ 2 given by (1) is said to be meromorphically convex of order % if it satis...es the following:. Meromorphic, starlike, coe¢ cient estimates, integral operator. X 1 + ab~`: Jung et al de...ned the integral operator on normalised analytic functions in [6]. Lashin [7] updated their operator for meromorphic functions in the following manner: Lemma 1. ): The key purpose of this paper is to look at some traditional geometric function theory properties for the class of geometric functions, such as coe¢ cient bounds, distortion properties, closure theorems, Hadamard product, and integral transforms
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