AN ALTERNATIVE APPROACH TO COMPUTING β(2K + 1).

This paper presents a new approach to evaluating the special values of the Dirichlet beta function, β(2k+1), where k is any nonnegative integer. Our approach relies on some properties of the Euler numbers and polynomials, and uses basic calculus and telescoping series. By a similar procedure, we also yield an integral representation of β(2k). [ABSTRACT FROM AUTHOR]