This book has been written to present a simple and up-to-date introduction to the hypergeometric functions and its series representation. It is designed to convey in an effective manner the fundamental properties of such functions. In order to make the book accessible to mathematicians, physicists, and engineers, the author has the work self-contained as possible. Hence, this book starts with an introductory chapter showing all the needed tools for the derivation that are carried out in the later chapters. In the second chapter we derive all the Kummers solutions and the logarithmic...