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Format: Inbunden (Hardback)
Språk: Engelska
Serie: Encyclopedia of Mathematics and its Applications
Utgivningsdatum: 2024-05-23
Förlag: Cambridge University Press
Dimensioner: 234 x 156 x 19 mm
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ISBN: 9781009123198

Higher Special Functions

Name: Higher Special Functions
Price: 1301.00 SEK
Availability: InStock
Author: Wolfgang Lay
ISBN: 9781009123198

A Theory of the Central Two-Point Connection Problem Based on a Singularity Approach

av Wolfgang Lay

Inbunden, Engelska, 2024-05-23

1301

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Higher special functions emerge from boundary eigenvalue problems of Fuchsian differential equations with more than three singularities. This detailed reference provides solutions for singular boundary eigenvalue problems of linear ordinary differential equations of second order, exploring previously unknown methods for finding higher special functions. Starting from the fact that it is the singularities of a differential equation that determine the local, as well as the global, behaviour of its solutions, the author develops methods that are both new and efficient and lead to functional relationships that were previously unknown. All the developments discussed are placed within their historical context, allowing the reader to trace the roots of the theory back through the work of many generations of great mathematicians. Particular attention is given to the work of George Cecil Jaffé, who laid the foundation with the calculation of the quantum mechanical energy levels of the hydrogen molecule ion.

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Special Functions

Sergei Yuryevitsh Slavyanov, Wolfgang Lay, S Iu Slavianov, S Iu Slavianov

The subject of this book is the theory of special functions, not considered as a list of functions exhibiting a certain range of properties, but based on the unified study of singularities of second-order ordinary differential equations in the com...

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Differenzialgleichungen in elementarer Darstellung

Wolfgang Lay

Dieses Lehrbuch leitet von den klassischen Schulinhalten der Analysis direkt zu einer Kategorisierung und Analyse spezieller (insbesondere linearer) Differenzialgleichungen über. Es betrachtet somit die klassische Analysis aus einer ungewohnten Pe...

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Wolfgang Lay is Privatdozent at the Universität Stuttgart and Actuary at the Allianz Group. His research focuses on special functions. He has spent time at the Universities of Oxford and Bristol and at the Euler International Mathematical Institute in St. Petersburg. He co-authored the book 'Special Functions: A Unified Theory based on Singularities' (2000) with S. Yu. Slavyanov.