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

Advances in Continuous and Discrete Models - Tập 2022 Số 1 - 2022
F. Ghanim1, Hiba F. Al‐Janaby2, Omar Bazighifan3
1Department of Mathematics, College of Sciences, University of Sharjah, Sharjah, United Arab Emirates
2Department of Mathematics, College of Sciences, University of Baghdad, Baghdad, Iraq
3Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout, 50512, Yemen

Tóm tắt

AbstractAccording 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.

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Advances in Continuous and Discrete Models

Tập 2022 Số 1

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