this is not analytic in z
cuda doesn't include complex implementations of Bessels
(@nvidia if you did, we'd be making pictures of Maass forms like there's no tomorrow in it), so I play around with what's available
#!/usr/bin/python from mpmath import * import pylab def rhuga(z): a = fp.besselj(0,re(z)) + j * fp.besselj(1,im(z)) return a/abs(a) fp.cplot(lambda z: rhuga(z), [-10,10], [-10,10], points=20000000, dpi=400, verbose=True, file="bessweird.png")pic.twitter.com/Ds0NadVAZ6
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@Farris_Frank@tomcuchta I suppose that puts /find representations of these in terms of exactly regular functions/ somewhere in my todo listShow this thread
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the faster ways I have for doing this involve http://arblib.org or cuda
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The function takes a complex number, and returns a new complex number which is the zeroth J Bessel function of the real component of z plus i times the first J Bessel function of the imaginary component. mpmath uses 'j' for i. http://www.mathe.tu-freiberg.de/fakultaet/information/math-calendar-2018 …
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awesome! try varying the parameters for other Bessel tartans
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