INTEGRAL REPRESENTATIONS FOR NEUMANN-TYPE SERIES OF BESSEL FUNCTIONS Iv, Yv AND Kv.

Recently Pogány and Süli [Proc. Amer. Math. Soc. 137(7) (2009), 2363-2368] derived a closed-form integral expression for Neumann series of Bessel functions of the first kind Jv . In this paper our aim is to establish analogous integral representations for the Neumann-type series of modified Bessel functions of the first kind Iv and for Bessel functions of the second kind Yv, Kv, and to give links for the same question for the Hankel functions Hv(1), Hv(2) [ABSTRACT FROM AUTHOR]