Simple and clear documentation for SageMath functions and operations
Main index page: http://paulmasson.github.io/sagemath-docs/index.html
List of mathematical functions native to SageMath:
https://github.com/sagemath/sage/blob/master/src/sage/functions/all.py
Utility for parsing files in functions directory courtesy of Theo Armour @theo-armour
http://jaanga.github.io/demo/paul-m/get-sage-function-names/get-sage-function-names-r2.html
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binomial doesn't automatically generalize
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arccot/acot, arcsec/asec and arccsc/acsc do not evaluate exactly for special values
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ditto for a slew of hyperbolic functions
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ditto for Jacobi elliptic functions
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polylog does not evaluate numerically for negative orders
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numerically wrong values for gen_legendre_P for m=odd=-n
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inverse Jacobi functions have some serious numerical issues: see comments in relevant files
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inverse Jacobi functions do not recognize their own inverses
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'unfamilar singuarlity' in Maxima expansions for bessel_K, bessel_Y, struve_H, struve_L, beta, Ei = exp_integral_ei, exp_integral_e1, exp_integral_e, cos_integral, cosh_integral, log_gamma
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'division by zero' in SageMath
series
for exp_integral_e with order less than five -
digamma function does not evaluate exactly at origin
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Struve series expansions need work. Also 'division by zero' in SageMath
series
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Need triangle check for wigner_6j, racah, wigner_9j