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Table of Contents:

Chapter 1: Introduction
1.1 Background of the Study
1.2 Statement of the Problem
1.3 Objective of the Study
1.4 Significance of the Study
1.5 Research Questions
1.6 Limitation of Study
1.7 Scope of Study

Chapter 2: Literature Review
2.1 Introduction to Analytic Functions
2.2 Properties of Analytic Functions
2.3 Applications of Analytic Functions in Complex Analysis
2.4 Previous Studies on Analytic Functions

Chapter 3: Research Methodology
3.1 Research Design
3.2 Data Collection Methods
3.3 Data Analysis Techniques
3.4 Sampling Techniques
3.5 Ethical Considerations

Chapter 4: Discussion of Findings
4.1 Analysis of Analytic Functions Properties
4.2 Application of Analytic Functions in Complex Analysis
4.3 Comparison with Previous Studies
4.4 Implications of Findings

Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Conclusion
5.3 Recommendations for Future Research

Overview:

The thesis on Investigating the properties of analytic functions and their applications in complex analysis aims to explore the various properties of analytic functions and their significance in complex analysis. The study will provide a comprehensive review of the literature on analytic functions, highlighting their key properties and applications.

The research methodology chapter will outline the approach and methods used in the study, including data collection techniques and analysis methods. The discussion of findings chapter will present the analysis of the properties of analytic functions and their applications in complex analysis, comparing the results with previous studies.

Finally, the conclusion and summary chapter will summarize the key findings of the study, draw conclusions based on the results, and provide recommendations for future research in this area. Overall, the thesis will contribute to the understanding of analytic functions and their importance in complex analysis.

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