A Nicholson-type integral for the cross-product of the Bessel functions

We prove a new Nicholson-type integral representation for the cross-product of the Bessel functions Jν(w)Yν(z)−Yν(w)Jν(z), and related integral representations for |Hν(1)(z)|2, where Hν(1) is the Hankel function of the first kind.