Let X1, n ≤ ... ≤ Xn,n, be the order statistics of a sample of size n from a distribution function F. Desu (1971) showed that if for all n ≥ 2, nX1,n is identically distributed as X1,1, then F is the ...
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.
A PHASE relation familiar to students of applied mathematics exists between a simple harmonic oscillation and its derivative. Similar relations exist between exponential functions and their ...