A Class of Functions for Which the Quadrature Formulae Whose Abscissae Are the Zeros of the Bessel Functions Give the Exact Value of the Integrals : Another Proof of Grozev-Rahman's Theorem

Abstract

In this note, we give another proof of a theorem, due to Grozev and Rahman [3], on a class of functions for which the quadrature formulae whose abscissae are the zeros of the Bessel functions give the exact value of integral. Our proof is based on the complex integral representation of the integration error and is much simpler than Grozev and Rahman's