Python appellf1 Examples

Example #1

File: test_hyper.py Project: Lenqth/sympy

def test_derivative_appellf1():
    from sympy import diff
    a, b1, b2, c, x, y, z = symbols('a b1 b2 c x y z')
    assert diff(appellf1(a, b1, b2, c, x, y), x) == a*b1*appellf1(a + 1, b2, b1 + 1, c + 1, y, x)/c
    assert diff(appellf1(a, b1, b2, c, x, y), y) == a*b2*appellf1(a + 1, b1, b2 + 1, c + 1, x, y)/c
    assert diff(appellf1(a, b1, b2, c, x, y), z) == 0
    assert diff(appellf1(a, b1, b2, c, x, y), a) ==  Derivative(appellf1(a, b1, b2, c, x, y), a)

Example #2

File: test_hyper.py Project: dragos1201/finance_project

def test_derivative_appellf1():
    from sympy import diff
    a, b1, b2, c, x, y, z = symbols('a b1 b2 c x y z')
    assert diff(appellf1(a, b1, b2, c, x, y), x) == a*b1*appellf1(a + 1, b2, b1 + 1, c + 1, y, x)/c
    assert diff(appellf1(a, b1, b2, c, x, y), y) == a*b2*appellf1(a + 1, b1, b2 + 1, c + 1, x, y)/c
    assert diff(appellf1(a, b1, b2, c, x, y), z) == 0
    assert diff(appellf1(a, b1, b2, c, x, y), a) ==  Derivative(appellf1(a, b1, b2, c, x, y), a)

Example #3

def test_appellf1():
    a, b1, b2, c, x, y = symbols('a b1 b2 c x y')
    assert appellf1(a, b2, b1, c, y, x) == appellf1(a, b1, b2, c, x, y)
    assert appellf1(a, b1, b1, c, y, x) == appellf1(a, b1, b1, c, x, y)
    assert appellf1(a, b1, b2, c, S.Zero, S.Zero) is S.One

    f = appellf1(a, b1, b2, c, S.Zero, S.Zero, evaluate=False)
    assert f.func is appellf1
    assert f.doit() is S.One

Example #4

File: test_hyper.py Project: Lenqth/sympy

def test_appellf1():
    a, b1, b2, c, x, y = symbols('a b1 b2 c x y')
    assert appellf1(a, b2, b1, c, y, x) == appellf1(a, b1, b2, c, x, y)
    assert appellf1(a, b1, b1, c, y, x) == appellf1(a, b1, b1, c, x, y)
    assert appellf1(a, b1, b2, c, S(0), S(0)) == S(1)

Example #5

def test_appellf1():
    a, b1, b2, c, x, y = symbols('a b1 b2 c x y')
    assert appellf1(a, b2, b1, c, y, x) == appellf1(a, b1, b2, c, x, y)
    assert appellf1(a, b1, b1, c, y, x) == appellf1(a, b1, b1, c, x, y)
    assert appellf1(a, b1, b2, c, S(0), S(0)) == S(1)

Example #6

File: test_hyper.py Project: drnextgis/sympy

def test_appellf1():
    a, b1, b2, c, x, y = symbols('a b1 b2 c x y')
    assert appellf1(a, b2, b1, c, y, x) == appellf1(a, b1, b2, c, x, y)
    assert appellf1(a, b1, b1, c, y, x) == appellf1(a, b1, b1, c, x, y)
    assert appellf1(a, b1, b2, c, S.Zero, S.Zero) is S.One