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This is a good mathematical reference book favorably available for readers who are interested in differential and integral calculus as well as experts who are engaged in mathematical field. Furthermore, this book aims at giving a lot of help to those who are eager to find something new and make a good invention.Many results in this book can encourage mathematicians and engineers who study special functions like gamma functions to be more active in their research work.In-depth study of gamma function led to a discovery that this function is closely related with many notable mathematical functions widely used in maths and engineering and has been effective for approximation theory and theory of numbers.This book deals with approximation formulas of gamma functions related to the hyperbolic functions.