ASYMPTOTIC EXPANSIONS OF A CLASS OF INTEGRALS

Authors
SELLIER A
Citation
A. Sellier, ASYMPTOTIC EXPANSIONS OF A CLASS OF INTEGRALS, Proceedings - Royal Society. Mathematical and physical sciences, 445(1925), 1994, pp. 693-710
Citations number
4
Categorie Soggetti
Multidisciplinary Sciences",Physics
Journal title
Proceedings - Royal Society. Mathematical and physical sciences → ACNP
ISSN journal
09628444
Volume
445
Issue
1925
Year of publication
1994
Pages
693 - 710
Database
ISI
SICI code
0962-8444(1994)445:1925<693:AEOACO>2.0.ZU;2-L
Abstract
The purpose of this paper is to study the expansion with respect to th e large and real parameter lambda of the integral I(lambda) : = fp int egral-b/0 f(x)K(x, lambdax)dx, when weak assumptions are required for the pseudofunctions f(x) and K(x, u) and the symbol fp means the integ ration in the finite part sense of Hadamard.