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Paperback. Etat : New. Print on Demand. This book explores the integration of linear differential equations of the second order through the use of hypergeometric functions. Leveraging the framework established by Euler and subsequent mathematicians like Liouville, the author provides a thorough investigation into this subject. The book examines various types of differential equations, including those of the form y' + P(x)y + Q(x)y = 0, and explores their solutions through the lens of hypergeometric functions. The author delves into the historical context surrounding the development of these functions and their applications in solving differential equations. The book also discusses the concept of reduction of order, which involves transforming higher-order differential equations into lower-order equations that are more manageable to solve. Overall, this book offers a comprehensive and in-depth analysis of the integration of linear differential equations of the second order using hypergeometric functions, making it a valuable resource for mathematicians, physicists, and engineers working in this field. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.