Example #1
0
File: log.py Project: yarv/sage
    def _evalf_(self, z, m, parent=None, algorithm=None):
        """
        EXAMPLES::

            sage: harmonic_number(3.,3)
            zeta(3) - 0.0400198661225573
            sage: harmonic_number(3.,3.)
            1.16203703703704
            sage: harmonic_number(3,3).n(200)
            1.16203703703703703703703...
            sage: harmonic_number(5,I).n()
            2.36889632899995 - 3.51181956521611*I
        """
        if m == 0:
            if parent is None:
                return z
            return parent(z)
        elif m == 1:
            return harmonic_m1._evalf_(z, parent, algorithm)

        from sage.functions.transcendental import zeta, hurwitz_zeta
        return zeta(m) - hurwitz_zeta(m, z + 1)
Example #2
0
    def _evalf_(self, z, m, parent=None, algorithm=None):
        """
        EXAMPLES::

            sage: harmonic_number(3.,3)
            zeta(3) - 0.0400198661225573
            sage: harmonic_number(3.,3.)
            1.16203703703704
            sage: harmonic_number(3,3).n(200)
            1.16203703703703703703703...
            sage: harmonic_number(5,I).n()
            2.36889632899995 - 3.51181956521611*I
        """
        if m == 0:
            if parent is None:
                return z
            return parent(z)
        elif m == 1:
            return harmonic_m1._evalf_(z, parent, algorithm)

        from sage.functions.transcendental import zeta, hurwitz_zeta
        return zeta(m) - hurwitz_zeta(m,z+1)