The Confluent Hypergeometric Function With Special Emphasis on its Applications by Herbert Buchholz


The Confluent Hypergeometric Function With Special Emphasis on its Applications by Herbert Buchholz

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 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, among others, the logarithmic integral, the integral sine and cosine, the error integral, the Fresnel integral, the cylinder functions and the cylinder function in parabolic cylindrical 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 properties of other functions derivable from it. This gen- eral point of view is particularly useful in connection with series ex- pansions valid for values of the argument near zero or infinity and in connection with the various integral representations.

About the Author

Other Formats

Book Info


239 pages


Herbert Buchholz
More books by Herbert Buchholz


Publication date

1st January 1969



I love Lovereading as it provides an honest opinion and showcases a range of fiction. Suited to both parents & kids alike, it’s a must-use.

Georgie Rowe – age 16

I think Lovereading4kids is an amazing company because of the friendly staff and the fabulous chance to read great books before publication.

Adam Graham

Love “Lovereading4kids” as my son gets to hear about & read new books before his mates which keeps him interested in reading=a very happy Mum

Liz Evans

It is fantastic, you get to read lots of books and you always find something new and amazing in them.

Erica Motoc, age 7

It’s so easy to find the right book for your child. Such an easy-to-use, yet in-depth website. 100% reliable.

Pippa, Jack, Liam & Matthew Wils

A great way to introduce kids to great books, authors & genres. Parents can find age-appropriate books to share with their children.

Judi Davies – Aberdare Girls Sch

LoveReading4Kids is a modern and creative way of emphasising the value and importance of books in this digital age #booksforlife

Amrit Bunet – Teen

It is THE website to use for narrowing down your search for any book. Definitely knocks the socks off any other book review website.

Nickey and Tomasz Hawryszczuk

Lovereading 4 schools