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48 lines
1.9 KiB
Diff
48 lines
1.9 KiB
Diff
diff -r -U2 sympy-1.0.orig/sympy/functions/special/tests/test_zeta_functions.py sympy-1.0/sympy/functions/special/tests/test_zeta_functions.py
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--- sympy-1.0.orig/sympy/functions/special/tests/test_zeta_functions.py 2016-03-09 00:38:39.000000000 +0600
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+++ sympy-1.0/sympy/functions/special/tests/test_zeta_functions.py 2016-12-28 23:25:19.370041561 +0700
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@@ -125,5 +125,5 @@
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assert polylog(s, 0) == 0
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assert polylog(s, 1) == zeta(s)
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- assert polylog(s, -1) == dirichlet_eta(s)
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+ assert polylog(s, -1) == -dirichlet_eta(s)
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assert myexpand(polylog(1, z), -log(1 + exp_polar(-I*pi)*z))
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diff -r -U2 sympy-1.0.orig/sympy/functions/special/zeta_functions.py sympy-1.0/sympy/functions/special/zeta_functions.py
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--- sympy-1.0.orig/sympy/functions/special/zeta_functions.py 2016-03-09 00:38:39.000000000 +0600
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+++ sympy-1.0/sympy/functions/special/zeta_functions.py 2016-12-28 23:23:56.109047180 +0700
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@@ -245,5 +245,5 @@
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zeta(s)
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>>> polylog(s, -1)
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- dirichlet_eta(s)
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+ -dirichlet_eta(s)
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If :math:`s` is a negative integer, :math:`0` or :math:`1`, the
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@@ -272,10 +272,17 @@
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@classmethod
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def eval(cls, s, z):
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+ from sympy import unpolarify
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if z == 1:
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return zeta(s)
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elif z == -1:
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- return dirichlet_eta(s)
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+ return -dirichlet_eta(s)
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elif z == 0:
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- return 0
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+ return S.Zero
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+
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+ # branch handling
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+ if (1 - abs(z)).is_nonnegative:
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+ newz = unpolarify(z)
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+ if newz != z:
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+ return cls(s, newz)
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def fdiff(self, argindex=1):
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@@ -486,5 +493,5 @@
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For `\operatorname{Re}(s) > 0`, this function is defined as
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- .. math:: \eta(s) = \sum_{n=1}^\infty \frac{(-1)^n}{n^s}.
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+ .. math:: \eta(s) = \sum_{n=1}^\infty \frac{(-1)^{n-1}}{n^s}.
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It admits a unique analytic continuation to all of :math:`\mathbb{C}`.
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