11/7/2022 0 Comments Fortran zeros of bessel function![]() ![]() The module is mainly modified from mjyzo.f90. Bessel_Functionsīessel_Function is a fortran module for calculations of Bessel functions of the 1st and 2nd kind, their derivative of the 1st and 2nd order, and zeros of original functions and derivations of the 1st order. Hankel_Transform is a fortran module to implement the Hankel transformation based on (Guptasarma and Singh, 1997).īecause the source file has no main program, as an example, you can compile it by $ gfortran -c Hankel_Transform.F90, but CAN'T run it. Implementation example_FunctionsĮxample_Functions is a fortran module including all examples in (Guptasarma and Singh, 1997) for the Hankel transformation. The formula is applicable for the Hankel transformation based on Bessel function of the first class and an arbitrary order. Represent $J_\nu(x)$ or $Y_\nu(x)$ by $Z_\nu(x)$ in the follows, and there are recurrence relations of Bessel function: Next, I will show you some mathematical formulas about calculations of Bessel function's derivatives and zeros, and the Hankel transformation. The repository includes some examples for the Hankel transformation, and involves calculations of Bessel functions of the 1st kind and 2nd kind, their derivatives of the 1st order and 2nd order, and their zeros. Fortunately, for Chrome or Firefox, after installing the two add-ons MathJax Plugin for GitHub ( GitHub repo.) or github-mathjax-firefox ( GitHub repo.) respectively, these formulas will be perfectly show up. The document contains some MathJax formulas that GitHub can't render properly, so that it looks slightly messy. Bessel function and Hankel transformation ![]()
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