Asymptotic analysis of differential equations /
Roscoe B. White.
- Rev. ed.
- London : Singapore ; Hackensack, NJ : Imperial College Press ; Distributed by World Scientific, 2010.
- xxiii, 405 p. : ill. ; 24 cm.
Includes bibliographical references (p. 397-400) and index.
Dominant balance -- Exact solutions -- Complex variables -- Local approximate solutions -- Phase-integral methods I -- Perturbation theory -- Asymptotic evaluation of integrals -- The Euler Gamma function -- Integral solutions -- Expansion in basis functions -- Airy -- Phase-integral methods II -- Bessel -- Weber and Hermite -- Whittaker and Watson -- Inhomogeneous differential equations -- The Riemann Zeta function -- Boundary layer problems.