(self)
return Or(c1, c2, c3)
Return a condition on z under which the series converges.
Return a condition on z under which the series converges.
Return a condition on z under which the series converges .
def convergence_statement(self):
        """ Return a condition on z under which the series converges. """
        from sympy import And, Or, re, Ne, oo
        R = self.radius_of_convergence
        if R == 0:
            return False
        if R == oo:
            return True
        # The special functions and their approximations, page 44
        e = self.eta
        z = self.argument
        c1 = And(re(e) < 0, abs(z) <= 1)
        c2 = And(0 <= re(e), re(e) < 1, abs(z) <= 1, Ne(z, 1))
        c3 = And(re(e) >= 1, abs(z) < 1)
        return Or(c1, c2, c3)
def convergence_statement ( self ) : from sympy import And , Or , re , Ne , oo R = self . radius_of_convergence if R == 0 : return False if R == oo : return True # The special functions and their approximations, page 44 e = self . eta z = self . argument c1 = And ( re ( e ) < 0 , abs ( z ) <= 1 ) c2 = And ( 0 <= re ( e ) , re ( e ) < 1 , abs ( z ) <= 1 , Ne ( z , 1 ) ) c3 = And ( re ( e ) >= 1 , abs ( z ) < 1 ) return Or ( c1 , c2 , c3 )