On the Laplace Transform of Absolutely Monotonic Functions
نویسندگان
چکیده
منابع مشابه
Laplace transform of certain functions with applications
The Laplace transform of the functions tν(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 ∫∞ 0 sin(ax)/xdx =π/2 is a special case of our ...
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ژورنال
عنوان ژورنال: Results in Mathematics
سال: 2016
ISSN: 1422-6383,1420-9012
DOI: 10.1007/s00025-016-0638-4