There isn't really. SymPy's summation code uses a suite of algorithms that match a wide array of expressions. It would be difficult to make a list because it is more than just matching against a list of known sums.
Pattern matching against known summations is something that could be added (a la manualintegrate), but for this summation, it's likely there is a more general algorithm dealing with double summations that could be implemented, for instance, making use of the Poisson summation formula. Aaron Meurer On Tue, Mar 22, 2022 at 9:38 PM Damon Turney <[email protected]> wrote: > > Hi, > > MUCH gratitude and appreciation for Sympy here! One improvement could be a > fuller list of infinite sums. For example: > > summation(1/((i+b)**2+(a)**2) , (i,-oo, oo)) > > should evaluate to: > > pi/a sinh(2 pi a))/ (-cos(2 pi b) + cosh(2 pi a) ) > > Is there a master list of infinite sums somewhere? Ma--m---ica seems to have > a big ass list. > > Anyway, much thanks for all your work on Sympy. > Damon > > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To view this discussion on the web visit > https://groups.google.com/d/msgid/sympy/9cbe087a-cb0e-4716-9089-e040c657afc4n%40googlegroups.com. -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/CAKgW%3D6JdN18rFVa72dqU%2BWGqQ3V2JChKC3srkoMTidSY9_wkPQ%40mail.gmail.com.
