Subordination Properties of Meromorphic Kummer Function Correlated with Hurwitz–Lerch Zeta-Function

Firas Ghanim, Khalifa Al-Shaqsi, Maslina Darus and Hiba Fawzi Al-Janaby
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Firas Ghanim: Department of Mathematics, College of Sciences, University of Sharjah, Sharjah 27272, UAE
Khalifa Al-Shaqsi: Department of Information Technology, University of Technology and Applied Science, Nizwa College of Technology, P.O. Box 75, Nizwa 612, Oman
Maslina Darus: Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor D. Ehsan, Malaysia
Hiba Fawzi Al-Janaby: Department of Mathematics, College of Science, University of Baghdad, Baghdad 10081, Iraq

Mathematics, 2021, vol. 9, issue 2, 1-10

Abstract: Recently, Special Function Theory (SPFT) and Operator Theory (OPT) have acquired a lot of concern due to their considerable applications in disciplines of pure and applied mathematics. The Hurwitz-Lerch Zeta type functions, as a part of Special Function Theory (SPFT), are significant in developing and providing further new studies. In complex domain, the convolution tool is a salutary technique for systematic analytical characterization of geometric functions. The analytic functions in the punctured unit disk are the so-called meromorphic functions. In this present analysis, a new convolution complex operator defined on meromorphic functions related with the Hurwitz-Lerch Zeta type functions and Kummer functions is considered. Certain sufficient stipulations are stated for several formulas of this defining operator to attain subordination. Indeed, these outcomes are an extension of known outcomes of starlikeness, convexity, and close to convexity.

Keywords: meromorphic functions; Hurwitz–Lerch Zeta-function; Riemann zeta function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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