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

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.

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Journal
Mathematics
Published
2025-10-28
DOI
https://doi.org/10.3390/math13213430
Primary Topic
Analytic and geometric function theory
Type
article
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article

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

Ekram E. Ali, Nicoleta Breaz, R. M. El-Ashwah, Abeer M. Albalahi
Mathematics
Analytic and geometric function theory
article

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

Ekram E. Ali, Nicoleta Breaz, R. M. El-Ashwah, Abeer M. Albalahi
article en

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.

MathematicsVol. 13(21)
Damietta University (EG), University of Ha'il (SA), 1 Decembrie 1918 University (RO), Port Said University (EG)
Openalex Percentile: Top 63%
Analytic and geometric function theory
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Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function — Ekram E. Ali, Nicoleta Breaz, et al. · Mathematics (2025) | TGRS Research Map | TGRS