- 期刊
LAPLACE TRANSFORM OF CERTAIN FUNCTIONS WITH APPLICATIONS
摘要
The Laplace transform of the functions t^ν (1+t)^β, Reν ＞ -1, is expressed in terms of Whittaker functions. This expression is exploited to evaluate infinite integrals involving products of Bessel functions, powers, exponentials, and Whittaker functions. Some special cases of the result are discussed. It is also demonstrated that the famous identity ʃ_0^∞ sin(ax)/xdx = π/2 is a special case of our main result.
延伸閱讀
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