Power Series Solutions

Martin Hermann and Masoud Saravi
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Martin Hermann: Friedrich Schiller University, Institute of Applied Mathematics
Masoud Saravi: Islamic Azad University Nour Branch, Department of Mathematics

Chapter Chapter 6 in A First Course in Ordinary Differential Equations, 2014, pp 145-188 from Springer

Abstract: Abstract In Chap.6 it is shown how power series techniques can be used to represent the solution of scalar first- and second-order differential equations. Special attention is paid to Legendre’s equation, Bessel’s equation, and the hypergeometric equation since these equations often occur in the applications.

Keywords: Power Series; Series Solution; Hypergeometric Equation; Regular Singular Point; Ordinary Point (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-1835-7_6

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DOI: 10.1007/978-81-322-1835-7_6

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