New subclasses of meromorphic bi-univalent functions by associated with subordinate
Publish Year: 1400
Type: Journal paper
Language: English
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JR_IJNAA-12-2_006
Index date: 2 December 2022
New subclasses of meromorphic bi-univalent functions by associated with subordinate abstract
In the present paper, we define two subclasses \Sigma(\lambda, \alpha, \beta), \Sigma_{\mathcal C}(\alpha, \beta) of meromorphic univalent functions and subclass \Sigma_{{\mathcal B},{\mathcal C}}(\alpha, \beta, \lambda) of meromorphic bi-univalent functions. Furthermore, we obtain estimates on the general coefficients |b_n|~(n \ge1) for functions in the subclasses \Sigma(\lambda, \alpha, \beta), \Sigma_{\mathcal C}(\alpha, \beta) and estimates for the early coefficients of functions in subclass \Sigma_{{\mathcal B},{\mathcal C}}(\alpha, \beta, \lambda) by associated subordination. The results obtained in this paper would generalize and improve those in related works of several earlier authors.
New subclasses of meromorphic bi-univalent functions by associated with subordinate Keywords: