Fundamentals of Analytic and Holomorphic Functions

Through this work, we have discovered many aspects of the analytic continuation of holomorphic functions, which is considered one of the most important theories in complex analysis and a very active field in modern mathematics.It should be noted that this work is only an introduction to the theory of analytic continuation of holomorphic functions. Our intention was to open the door for studying this field. It is also important to acknowledge that this modest work may contain errors, and we sincerely thank anyone who notices a mistake and attempts to correct it.Finally, we hope that we have succeeded in presenting this work, and we pray to God Almighty that this work will be beneficial to us and to all people.