ASYMPTOTIC-EXPANSION OF A GENERAL INTEGRAL

Authors
SELLIER A
Citation
A. Sellier, ASYMPTOTIC-EXPANSION OF A GENERAL INTEGRAL, Proceedings - Royal Society. Mathematical, physical and engineering sciences, 452(1955), 1996, pp. 2655-2690
Citations number
11
Journal title
Proceedings - Royal Society. Mathematical, physical and engineering sciences
ISSN journal
13645021 → ACNP
Volume
452
Issue
1955
Year of publication
1996
Pages
2655 - 2690
Database
ISI
SICI code
1364-5021(1996)452:1955<2655:AOAGI>2.0.ZU;2-3
Abstract
For b is an element of R(+), a real function h(x) and also complex ps eudo-functions f(x) and K(x,u) obeying weak assumptions, an asymptotic expansion of the general integral I(lambda):=fp integral(0)(b) f(x)K[ h(x),lambda x]dx, is proposed, with respect to the real and large para meter lambda, where the notation fp designates an integration in the f inite part sense of Hadamard.