Integral Representations for Neumann - Type Series of Bessel Functions
نویسنده
چکیده
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 Jν . In this paper our aim is to establish analogous integral representations for the Neumann-type series of modified Bessel functions of the first kind Iν and for Bessel functions of the second kind Yν , Kν , and to give links for the same question for the Hankel functions H (1) ν , H (2) ν .
منابع مشابه
Integral Representation for Neumann Series of Bessel Functions
A closed integral expression is derived for Neumann series of Bessel functions — a series of Bessel functions of increasing order — over the set of real numbers.
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