We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Subordination Properties of Meromorphic Kummer Function Correlated with Hurwitz–Lerch Zeta-Function.
- Authors
Ghanim, Firas; Al-Shaqsi, Khalifa; Darus, Maslina; Al-Janaby, Hiba Fawzi; Oros, Georgia Irina
- 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.
- Subjects
ANALYTIC functions; ZETA functions; SPECIAL functions; APPLIED mathematics; OPERATOR theory; STAR-like functions
- Publication
Mathematics (2227-7390), 2021, Vol 9, Issue 2, p192
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math9020192