ISBN: 9780656738380 - ueber die function ii von gauss mit complexem argument: inaugural-dissertation zur erlangung der philosophischen doctorwürde (classic reprint) (1 resultados)

Paperback. Condición: New. Print on Demand. This book comprehensively explores an integral study of the function II or H with complex arguments, as pioneered by Legendre. The author delved into the history of the subject, beginning with Legendre's work and moving on to Dirichlet's groundbreaking approach using logarithmic identities. The book investigates the connection between complex arguments and the well established properties of real arguments, demonstrating the extension of integral representation and other important characteristics. Along the way, it introduces Gauss' hypergeometric series and examines the intricate relationships between infinite series and integrals. The book culminates in a discussion of the famous multiplication theorem of Gauss, which the author extends to encompass complex arguments. Through this in-depth analysis, the book not only provides a comprehensive understanding of the function H with complex arguments, but also highlights the broader significance of integral representation in mathematical functions. 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.…