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3. Neumann Functions, Bessel Functions of the 2 nd Kind

3. Neumann Functions, Bessel Functions of the 2 nd Kind. Neumann Functions :. x << 1 ?. ?. ?. ?. Ex.14.3.8. agrees with. x << 1 ?. Mathematica. For x ? ?, periodic with amp ? x ?1/2 ?/2 phase difference with J n. Integral Representation. Ex.14.3.7 Ex.14.4.8.

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3. Neumann Functions, Bessel Functions of the 2 nd Kind