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Table of Integrals, Series, and Products, 8th Edition by Daniel Zwillinger

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8.4–8.5 Bessel Functions and Functions Associated with Them

8.40 Definitions

8.401 Bessel functions Zv(z) are solutions of the differential equation

d2Zνdz2+1zdZνdz+(1ν2z2)Zν=0

si708_e  KU 37(1)

Special types of Bessel functions are what are called Bessel functions of the first kind Jv(z), Bessel functions of the second kind Yv(z) (also called Neumann functions and often written Nv(z)), and Bessel functions of the third kind Hν(1)(z)si709_e and Hν(2)(z)si710_e (also ...

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