springer.com Science, Humanities and Social Sciences, multidisciplinary : Science, Humanities and Social Sciences, multidisciplinary Buchholz, Herbert The Confluent Hypergeometric Function with Special Emphasis on its Applications The subject of this book is the higher transcendental function known as the confluent hypergeometric function. In the last two decades this function has taken on an ever increasing significance because of its use in the application of mathematics to physical and technical problems. There is no doubt that this trend will continue until the general theory of confluent hypergeometric functions becomes familiar to the majority of physicists in much the same way as the cylinder functions, which were previously less well known, are now used in many engineering and physical problems. This book is intended to further this development. The important practical significance of the functions which are treated hardly demands an involved Springer discussion since they include, as special cases, a number of simpler special functions which have long been the everyday tool of the physicist. It is sufficient to mention that these include, Softcover reprint of the 1st among others, the logarithmic integral, the integral sine and cosine, the error integral, the original 1st ed. 1969, XVIII, edition Fresnel integral, the cylinder functions and the cylinder function in parabolic cylindrical 239 p. coordinates. For anyone who puts forth the effort to study the confluent hypergeometric function in more detail there is the inestimable advantage of being able to understand the Printed book properties of other functions derivable from it. This gen• eral point of view is particularly useful Softcover in connection with series ex• pansions valid for values of the argument near zero or infinity and in connection with the various integral representations. Printed book Softcover Order online at springer.com/booksellers ISBN 978-3-642-88398-9 Springer Nature Customer Service Center LLC $ 89,99 233 Spring Street Available New York, NY 10013 Discount group USA T: +1-800-SPRINGER NATURE Professional Books (2) (777-4643) or 212-460-1500 Product category [email protected] Monograph Series Springer Tracts in Natural Philosophy Other renditions Softcover ISBN 978-3-642-88397-2 Prices and other details are subject to change without notice. All errors and omissions excepted. Americas: Tax will be added where applicable. Canadian residents please add PST, QST or GST. Please add $5.00 for shipping one book and $ 1.00 for each additional book. Outside the US and Canada add $ 10.00 for first book, $5.00 for each additional book. If an order cannot be fulfilled within 90 days, payment will be refunded upon request. Prices are payable in US currency or its equivalent. ISBN 978-3-642-88398-9 / BIC: GT / SPRINGER NATURE: SCA11007 Part of .