A modification of Erd�lyi's asymptotic expansions of Fourier integrals

1982 ◽  
Vol 65 (1-2) ◽  
pp. 41-47 ◽  
Author(s):  
B. -H. Liu
Keyword(s):  
Asymptotic Expansions ◽  
Fourier Integrals

On uniform asymptotic expansions of finite Laplace and Fourier integrals

1980 ◽  
Vol 85 (3-4) ◽  
pp. 299-305 ◽  
Author(s):  
Kusum Soni
Keyword(s):  
Asymptotic Expansion ◽  
Asymptotic Expansions ◽  
Fourier Integral ◽  
Uniform Asymptotic Expansion ◽  
Laplace Integrals ◽  
Uniform Asymptotic Expansions ◽  
Fourier Integrals

SynopsisA uniform asymptotic expansion of the Laplace integrals ℒ(f, s) with explicit remainder terms is given. This expansion is valid in the whole complex s−plane. In particular, for s = −ix, it provides the Fourier integral expansion.

Sign in / Sign up

Export Citation Format

Share Document