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The Expression of The Laplace Transform of ( P ± i 0) λ as a K ‐transform
Author(s) -
Trione Susana Elena
Publication year - 1999
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/1467-9590.00127
Subject(s) - laplace transform , two sided laplace transform , mellin transform , inverse laplace transform , mathematics , laplace transform applied to differential equations , laplace–stieltjes transform , mathematical analysis , expression (computer science) , integral transform , lambda , order (exchange) , fractional fourier transform , pure mathematics , fourier transform , physics , fourier analysis , quantum mechanics , computer science , programming language , finance , economics
In this article we obtain the Laplace transform (1.1) of the distributions ( P ± i 0) λ (2.2) as a K ν ‐transform of order ν=( n ‐2)/2 (see Theorem 4, formula (3.17)).