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

作者：Hrycak Tomasz^*; Schmutzhard Sebastian

来源：Journal of Mathematical Analysis and Applications, 2016, 436(1): 168-178.

DOI：10.1016/j.jmaa.2015.11.056

• Nicholson's formula
• Cross-product
• Bessel functions
• Hankel functions

We prove a new Nicholson-type integral representation for the cross-product of the Bessel functions J(v)(w)Y-v(z) - Y-v(w)J(v)(z), and related integral representations for vertical bar H-v((1))(z)vertical bar(2), where H-v((1)) is the Hankel function of the first kind.

• 出版日期2016-4-1