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

Synopsis

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

Format

Hardback
239 pages

Author

Herbert Buchholz
More books by Herbert Buchholz

Publisher

Springer-Verlag Berlin and Heidelberg GmbH & Co. K an imprint of Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Publication date

1st January 1969

ISBN

9783540047155


I love finding new books to read. My mummy and me look at the new ones coming out. I have written reviews of some of them!

Jessica Cobbin – age 7

You give me age appropriate ideas of books I can read and buy for the children and find out what other children their age think of them too.

Katie Lonsdale

It gives me a chance to read types of books that I would not normally try, and it motivates me to read every night to finish it!

Alice Horncastle, age 14

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

Adam Graham

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

Writing reviews help the children with their literacy skills and we always read the books together which gives us good quality family time!

Cat Bisland (on behalf of the Bi

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

We love Lovereading4kids because they put books in front of us we wouldn’t otherwise have read. They make us more adventurous readers!

Emily Jacques
Lovereading

Lovereading 4 schools