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Field name	Details
Dewey Class	515.352
Title	Second Order Differential Equations ([Ebook]) : Special Functions and Their Classification / by Gerhard Kristensson.
Author	Kristensson, Gerhard
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2010.
Physical Details	XIV, 216 pages. 31 illus. : online resource.
ISBN	9781441970206
Summary Note	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. Each chapter contains a set of problems which help reinforce the theory. Some of the preliminaries are covered in appendices at the end of the book, one of which provides an introduction to PoincarÃ©-Perron theory, and the appendix also contains a new way of analyzing the asymptomatic behavior of solutions of differential equations. This textbook is appropriate for advanced undergraduate and graduate students in Mathematics, Physics, and Engineering interested in Ordinary and Partial Differntial Equations. A solutions manual is available online.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4419-7020-6
Links to Related Works	Subject References: Difference and Functional Equations . Differential equation . Functional equations . Functions of a Complex Variable . Functions of complex variables . Functions, Special . Hypergeometric functions . Mathematics . Ordinary differential equations . Special Functions . Authors: Kristensson, Gerhard . Corporate Authors: SpringerLink (Online service) . Classification: 515.352 . 515.352 (DDC 23) .

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Second Order Differential Equations: Special Functions and Their Classification

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