Bessel functions, used extensively in mathematical physics, electromagnetics, and communication-system theory, must often be approximated by appropriate formulas. The functions Jρ(x) and Iρ(x) for integer values of p are well approximated by the sum of a small number of circular and hyperbolic sines or cosines, respectively, when x is not too large, e.g., less than 10, and convenient expressions are obtained for their errors. These approximations are especially convenient for use on personal computers (PCs) and pocket calculators and in analytically evaluating integrals.
Trigonometric Approximations for Bessel Functions
IEEE Transactions on Aerospace and Electronic Systems ; AES-22 , 1 ; 2-7
1986-01-01
1505097 byte
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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