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Second Order Differential Equations
ISBN-13:
9781441970206
Veröffentl:
2010
Seiten:
219
Autor:
Gerhard Kristensson
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
Second Order Differential Equations presents a classical piece of theory concerning hypergeometric special functions as solutions of second-order linear differential equations. The theory is presented in an entirely self-contained way, starting with an introduction of the solution of the second-order differential equations and then focusingon the systematic treatment and classification of these solutions.
Preface.- Introduction.- Basic Properties of the Solutions.- Equations of the Fuchsian Type.- Equations with One to Four Regular Singular Points.- The Hypergeometric Differential Equation.- Legendre Functions and Related Functions.- Confluent Hypergeometric Functions.- Heun's Differential Equation.- The Gamma Function and Related Functions.- Difference Equations.- Partial Fractions.- Circles and Ellipses in the Complex Plane.- Elementary and Special Functions.- Notation.- Bibliography.- Index
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