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Determine a lower bound for the radius of convergence of series solutions about x = 0 for the Legendre equation (1−x2)y′′−2xy′+α(α+1)y=0 where α is a constant.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Determine a lower bound for the radius of convergence of series solutions about x = 0 for the Legendre equation

(1−x2)y′′−2xy′+α(α+1)y=0

where α is a constant.

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