the Laplace–Stieltjes transform of g and the Laplace transform of f coincide. In general, the Laplace–Stieltjes transform is the Laplace transform of the...

Laplace–Stieltjes transform, named for Pierre-Simon Laplace and Thomas Joannes Stieltjes, is an integral transform similar to the Laplace transform....

co-founded by Stieltjes Chebyshev–Markov–Stieltjes inequalities Heine–Stieltjes polynomials Laplace–Stieltjes transform Lebesgue–Stieltjes integral Montel's...

limit, it does appear more naturally in connection with the Laplace–Stieltjes transform. One can define the moments of a finite Borel measure μ on the...

probability was developed mainly by Laplace. Laplace formulated Laplace's equation, and pioneered the Laplace transform which appears in many branches of...

the Riemann–Stieltjes integral is a generalization of the Riemann integral, named after Bernhard Riemann and Thomas Joannes Stieltjes. The definition...

Laplace transform Inverse Laplace transform Two-sided Laplace transform Inverse two-sided Laplace transform Laplace–Carson transform Laplace–Stieltjes transform...

Fourier transform of f. In the case that μ is the probability distribution associated to a random variable X, the Fourier–Stieltjes transform is closely...

Riemann–Stieltjes integral, and where F {\displaystyle F} is the cumulative distribution function. This is simply the Laplace-Stieltjes transform of F {\displaystyle...

f ( t ) {\displaystyle f(t)} in continuous time has (unilateral) Laplace transform F ( s ) {\displaystyle F(s)} , then a final value theorem establishes...