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Encyclopedia of Mathematics and Its Applications Ser.: Higher Special Functions : A Theory of the Central Two-Point Connection Problem Based on a Singularity Approach by Wolfgang Lay (2024, Hardcover)
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- Buy It NowHigher Special Functions: A Theory of the Central Two-Point Connection Problem
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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-10100912319X
ISBN-139781009123198
eBay Product ID (ePID)10065571136
Product Key Features
Number of Pages328 Pages
LanguageEnglish
Publication NameHigher Special Functions : A Theory of the Central Two-Point Connection Problem Based on a Singularity Approach
Publication Year2024
SubjectGeneral
TypeTextbook
Subject AreaMathematics
AuthorWolfgang Lay
SeriesEncyclopedia of Mathematics and Its Applications Ser.
FormatHardcover
Dimensions
Item Height0.9 in
Item Length9.4 in
Item Width6.5 in
Additional Product Features
Dewey Edition23
Reviews'This comprehensive treatise builds the theory of second-order linear ordinary differential equations in terms of the zeros of their leading coefficient. Beyond the functions of hypergeometric class is relatively unexplored territory: the 'higher special functions'. Lay's approach is deeply scholarly, and grounded in applications to dislocations and quantum theory.' Michael Berry, University of Bristol
Series Volume NumberSeries Number 188
IllustratedYes
Dewey Decimal515.5
Table Of Content1. Introduction; 2. Singularities in action; 3. Fuchsian differential equations: the cornerstones; 4. Central two-point connection problems and higher special functions; 5. Applications and examples; 6. Afterword; A. Standard central two-point connection problem; B. Curriculum vitae of George Cecil Jaffé; References; Index.
SynopsisThis detailed reference provides solutions for singular boundary eigenvalue problems of linear ordinary differential equations of second order. Containing new functions, unseen eigenvalue curves, a general method of solution, examples of unsolved problems and historical context, it will be indispensable for graduate students and researchers alike., 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.
LC Classification NumberQA351.L3 2024
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