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emsr / tr29124_test

C++ special math functions
GNU General Public License v3.0
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Finish Mittag-Leffler #99

Closed emsr closed 5 years ago

emsr commented 7 years ago

Finish Mittag-Leffler Now test_mittag_leffler.cpp plots look really good against that paper. Nailed it!!! Also get the Wright functions. Line up deathmatch tests. Equator should have tests for M-L at least for real arg.

emsr commented 7 years ago

I was thinking of trying a complex valued quadrature but I might not hold it up.

emsr commented 7 years ago

This item means to ship M-L functions in specfun.h

emsr commented 5 years ago

I replaced the two real integrals each for K and P with a proper contour integral. In other news, the quadrature project is almost entirely able to integrate complex function for all the techniques.

emsr commented 5 years ago

Add reference. This has the plots... Computation of the Mittag-Leffler function and its derivatives Article  in  Fractional Calculus and Applied Analysis · January 2002 CITATIONS 207 READS 1,243 3 authors, including: Some of the authors of this publication are also working on these related projects: Distributed order time-fractional diffusion equations View project free research View project Rudolf Gorenflo Freie Universität Berlin 238 PUBLICATIONS   9,472 CITATIONS    SEE PROFILE Yuri Luchko Beuth Hochschule für Technik Berlin

emsr commented 5 years ago

Paper on Wright function. BTW these are Fox functions! ALGORITHMS FOR EVALUATION OF THE WRIGHT FUNCTION FOR THE REAL ARGUMENTS’ VALUES Yury Luchko

emsr commented 5 years ago

So, this requires the integration package but I'm doing it anyway.