We explore a well-known integral representation of the logarithmic function, and demonstrate its usefulness in obtaining compact, easily computable exact formulas for quantities that involve ...

The Annals of Probability, Vol. 27, No. 2 (Apr., 1999), pp. 664-683 (20 pages) The geometric stochastic analysis on the Riemannian path space developed recently gives rise to the concept of tangent ...

We consider boundary integral equations of the first kind with logarithmic kernels on smooth closed or open contours in R2. Instead of solving the first kind equations directly, we propose a fully ...

Abstract: The inversion of the logarithmic integral operator defined on several curves is considered. Formulas for the inverse operator and its action on trigonometric functions are obtained. The ...

In the paper, by induction and recursively, the author proves that the generating function of multivariate logarithmic polynomials and its reciprocal are a Bernstein function and a completely ...

Abstract: The Bjerknes method of determining the logarithmic decrement of a circuit consists in coupling loosely to it an oscillatory circuit containing a thermo indicator; the latter circuit having ...