Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function

Ekram E. Ali, Rabha M. El-Ashwah, Nicoleta Breaz () and Abeer M. Albalahi
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Ekram E. Ali: Department of Mathematics, College of Science, University of Ha’il, Ha’il 81451, Saudi Arabia
Rabha M. El-Ashwah: Department of Mathematics, Faculty of Science, Damitta University, New Damietta 34517, Egypt
Nicoleta Breaz: Department of Mathematics, Faculty of Computer Science and Engineering, “1 Decembrie 1918” University of Alba Iulia, Street Nicolae Iorga 11-13, R-510009 Alba Iulia, Romania
Abeer M. Albalahi: Department of Mathematics, College of Science, University of Ha’il, Ha’il 81451, Saudi Arabia

Mathematics, 2025, vol. 13, issue 21, 1-14

Abstract: The findings of this study are connected with geometric function theory and were acquired using subordination-based techniques in conjunction with the Hurwitz–Lerch Zeta function. We used the Hurwitz–Lerch Zeta function to investigate certain properties of multivalent meromorphic functions. The primary objective of this study is to provide an investigation on the argument properties of multivalent meromorphic functions in a punctured open unit disc and to obtain some results for its subclass.

Keywords: meromorphic function; Hadamard (convolution) product; Hurwitz–Lerch zeta function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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