and Melka, R., "Bessel function of the first kind with complex argument," Computer Physics Communications 106(3), 199-206 (1997).Yousif, H. A. and Melka, R. 1997. Bessel function of the first kind with complex
integer ordercomplex argumentcomputer subroutinesBessel functionssecond kindThis paper describes computer subroutines which were developed to compute Bessel functions of the first and second kind ( J n ( z ) and Y n ( z ), respectively) for a complex argument z and a range of integer orders. ...
Calculate the unscaled Hankel function of the second order on the complex plane. When z has a large positive imaginary part, the value of the function quickly diverges. This phenomenon limits the range of computable values. Get k = 2; nu = 1; x = -5:0.4:15; y = x'; z = x +...
H(K)ν(z)isbesselh,Jν(z)isbesselj, andYν(z)isbessely. The Hankel functions also form a fundamental set of solutions to Bessel's equation (seebesselh). References [1] Amos, D. E. “Algorithm 644: A Portable Package for Bessel Functions of a Complex Argument and Nonnegative Order....
Themodified Bessel functions of the second kind, denotedKν(z), form a second solution independent ofIν(z)given by Kν(z)=(π2)I−ν(z)−Iν(z)sin(νπ) . References [1] Amos, D. E. “Algorithm 644: A Portable Package for Bessel Functions of a Complex Argument and Non...
[1] Amos, D. E. “Algorithm 644: A Portable Package for Bessel Functions of a Complex Argument and Nonnegative Order.”ACM Transactions on Mathematical Software12, no. 3 (September 1986): 265–273.https://dl.acm.org/doi/10.1145/7921.214331. ...
Bessel函数
Bessel Function of the First Kind The Bessel functions of the first kind 热度: ModifiedBesselfunctions:Iα,Kα TheBesselfunctionsarevalidevenforcomplexargumentsx,andanimportantspecialcaseisthatofapurelyimaginaryargument.Inthiscase,thesolutionstotheBesselequationarecalledthemodifiedBesselfunctions(oroccasionally...
Bessel function of the first kind Jν of the real (fractional) order and complex argument is supported by professional version of the Librow calculator.5. InterfaceBessel function call looks likeJ(order, argument);orBesselJ(order, argument);where order is the function real order, and argument...
H= besselh(nu,K,z)computes the Hankel functionH(K)ν(z), whereK=1or2, for each element of the complex arrayz. The outputHhas the symbolic data type if any input argument is symbolic. SeeBessel’s Equation. example H= besselh(nu,z)usesK= 1. ...