Second-Order Equations in the Complex Plane

Mikhail V. Fedoryuk

Chapter Chapter 3 in Asymptotic Analysis, 1993, pp 79-167 from Springer

Abstract: Abstract In this chapter we consider equations of the form $$w'' + p(z,\lambda )w' + q(z,\lambda )w = 0$$ with entire or meromorphic coefficients. The fundamental problem of asymptotic theory is the construction of the asymptotic behaviour of the fundamental system of solutions as λ → ∞ in the whole complex z-plane. We also consider a series of concrete problems in spectral analysis and mathematical physics.

Keywords: Asymptotic Behaviour; Singular Point; Asymptotic Expansion; Complex Plane; Turning Point (search for similar items in EconPapers)
Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-58016-1_3

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DOI: 10.1007/978-3-642-58016-1_3

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