Geometric properties of the meromorphic functions class through special functions associated with a linear operator

Firas Ghanim Ahmed; Hiba Fawzi Al-Janaby

doi:10.1186/s13662-022-03691-y

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Publication Date

Sat Feb 19 2022

Journal Name

Advances In Continuous And Discrete Models

Volume

2022

Issue Number

17

DOI

10.1186/s13662-022-03691-y

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Geometric properties of the meromorphic functions class through special functions associated with a linear operator

Meromorphic function

Convolution product

Hurwitz–Lerch zeta function

Differential first-order subordination

Firas Ghanim Ahmed

Hiba Fawzi Al-Janaby

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Abstract<p>According to the theory of regular geometric functions, the relevance of geometry to analysis is a critical feature. One of the significant tools to study operators is to utilize the convolution product. The dynamic techniques of convolution have attracted numerous complex analyses in current research. In this effort, an attempt is made by utilizing the said techniques to study a new linear complex operator connecting an incomplete beta function and a Hurwitz–Lerch zeta function of certain meromorphic functions. Furthermore, we employ a method based on the first-order differential subordination to derive new and better differential complex inequalities, namely differential subordinations.</p>

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