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In [1]: limit(elliptic_k(2+x), x, 0, dir=+I) Out[1]: K(2) In [2]: limit(elliptic_k(2+x), x, 0, dir=-I) Out[2]: K(2)
c.f. https://reference.wolfram.com/language/ref/Limit.html:
In[1]:= Limit[EllipticK[2 + x], x -> 0, Direction -> +I] Out[1]= EllipticK[2] In[2]:= Limit[EllipticK[2 + x], x -> 0, Direction -> -I] 5 (2 I) Sqrt[Pi] Gamma[-] 4 Out[2]= EllipticK[2] + ----------------------- 3 Gamma[-] 4
Series expansion for K(x) implemented using generalized hypergeometric function:
K(x)
diofant/diofant/functions/special/elliptic_integrals.py
Lines 72 to 74 in 290922f
So, we must add support for branch cuts here, see this.
The text was updated successfully, but these errors were encountered:
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c.f. https://reference.wolfram.com/language/ref/Limit.html:
Series expansion for
K(x)
implemented using generalized hypergeometric function:diofant/diofant/functions/special/elliptic_integrals.py
Lines 72 to 74 in 290922f
So, we must add support for branch cuts here, see this.
The text was updated successfully, but these errors were encountered: