Bleistein, Norman; Handelsman, Richard A. Asymptotic expansions of integrals. (English) Zbl 0327.41027 New York etc.: Holt, Rinehart and Winston. XIII, 425 p. £16.25 (1975). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 232 Documents MSC: 41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) 44A15 Special integral transforms (Legendre, Hilbert, etc.) 44A20 Integral transforms of special functions 33-XX Special functions 44A10 Laplace transform 44-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to integral transforms 41-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to approximations and expansions PDFBibTeX XML Digital Library of Mathematical Functions: §2.3(ii) Watson’s Lemma ‣ §2.3 Integrals of a Real Variable ‣ Areas ‣ Chapter 2 Asymptotic Approximations §2.3(v) Coalescing Peak and Endpoint: Bleistein’s Method ‣ §2.3 Integrals of a Real Variable ‣ Areas ‣ Chapter 2 Asymptotic Approximations §2.4(iv) Saddle Points ‣ §2.4 Contour Integrals ‣ Areas ‣ Chapter 2 Asymptotic Approximations §2.4(v) Coalescing Saddle Points: Chester, Friedman, and Ursell’s Method ‣ §2.4 Contour Integrals ‣ Areas ‣ Chapter 2 Asymptotic Approximations §2.5(ii) Extensions ‣ §2.5 Mellin Transform Methods ‣ Areas ‣ Chapter 2 Asymptotic Approximations Example ‣ §2.5(iii) Laplace Transforms with Small Parameters ‣ §2.5 Mellin Transform Methods ‣ Areas ‣ Chapter 2 Asymptotic Approximations Chapter 2 Asymptotic Approximations Chapter 9 Airy and Related Functions