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On a subclass of meromorphic close-to-convex functions
Ming-Liang Li1, Lei Shi2, Zhi-Gang Wang2
1School of Mathematics and Statistics, Central South University, Changsha, Hunan 410075, China ; School of Mathematics and Computing Science, Hunan First Normal University, Changsha, Hunan 410205, China.
Thescientificworldjournal
|September 23, 2014
Summary
This study introduces a new subclass of meromorphic close-to-convex functions. Key properties like coefficient inequalities and distortion were derived, advancing geometric function theory.
Area of Science:
- Complex Analysis
- Geometric Function Theory
Background:
- Meromorphic functions are essential in complex analysis.
- Close-to-convex functions represent a significant subclass with unique properties.
Purpose of the Study:
- Introduce and investigate a novel subclass of meromorphic close-to-convex functions.
- Explore fundamental properties of this new function subclass.
Main Methods:
- Derivation of coefficient inequalities.
- Analysis of the convolution property.
- Establishing inclusion relationships.
- Investigating distortion properties.
- Determining the radius of meromorphic convexity.
Main Results:
- Established coefficient inequalities for the new subclass.
- Characterized the convolution property.
- Defined inclusion relationships based on analytic criteria.
- Derived distortion theorems.
- Calculated the radius of meromorphic convexity.
Conclusions:
- The study successfully defined and analyzed a new subclass of meromorphic close-to-convex functions.
- The derived properties offer valuable insights into the behavior of these functions.
- This research contributes to the broader field of geometric function theory.
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