An evaluation of the derivative of spherical Bessel functions of order n + 1/2 at its zeros is obtained. Consequently, an explicit quadrature formula for entire functions of exponential type is given.

Concretely, we prove explicit formulas of partial sums of the Möbius function in arithmetic progressions and partial sums of the Möbius functions on an Abelian number field. In addition, to obtain ...

Minqiang Li, Fabio Mercurio and Serge Resnick derive an efficient closed-form approximation for the moment-generating function of the integral of a mean-reverting stochastic process, which follows a ...