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Neumann series of Bessel functions

Recently Pog\'any and S\"uli [Proc. Amer. Math. Soc. 137(7)(2009) 2363--2368] derived a closed-form integral expression for Neumann series of Bessel functions. In this note our aim is to establish another kind of integral representations for Neumann series of Bessel functions of the first kind $J_\nu.$

Neumann series of Bessel functions

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