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Neumann series of Bessel functions

Neumann series of Bessel functions

In this paper we shall study the possibility of representing a function f(x) on (0, °°) by a Neumann series of the form 00 (1.1) ^anJv+2n+i(x), ?i=0in which v is an arbitrary real number.As a consequence of the identity [9, p. 404](i)are orthonormal on the interval (0, oo ) with …