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# sympy.integrals.transforms.mellin_transform

All Samples(20)  |  Call(16)  |  Derive(0)  |  Import(4)

```        return None
_debug('Trying recursive mellin transform method.')
from sympy.integrals.transforms import (mellin_transform,
inverse_mellin_transform, IntegralTransformError,
MellinTransformStripError)
```
```        return Integral(f, (x, 0, oo))
try:
F, strip, _ = mellin_transform(f, x, s, integrator=my_integrator,
simplify=False, needeval=True)
g = my_imt(F, s, x, strip)
```
```        if a not in f.free_symbols and _is_analytic(f, x):
try:
F, strip, _ = mellin_transform(f.subs(x, a*x), x, s,
integrator=my_integrator,
needeval=True, simplify=False)
```

```        return None
_debug('Trying recursive mellin transform method.')
from sympy.integrals.transforms import (mellin_transform,
inverse_mellin_transform, IntegralTransformError,
MellinTransformStripError)
```
```        return Integral(f, (x, 0, oo))
try:
F, strip, _ = mellin_transform(f, x, s, integrator=my_integrator,
simplify=False, needeval=True)
g = my_imt(F, s, x, strip)
```
```        if a not in f.free_symbols and _is_analytic(f, x):
try:
F, strip, _ = mellin_transform(f.subs(x, a*x), x, s,
integrator=my_integrator,
needeval=True, simplify=False)
```

```from sympy.integrals.transforms import (mellin_transform,
inverse_mellin_transform, laplace_transform, inverse_laplace_transform,
fourier_transform, inverse_fourier_transform,
sine_transform, inverse_sine_transform,
cosine_transform, inverse_cosine_transform,
```
```def test_undefined_function():
from sympy import Function, MellinTransform
f = Function('f')
assert mellin_transform(f(x), x, s) == MellinTransform(f(x), x, s)
assert mellin_transform(f(x) + exp(-x), x, s) == \
```
```    u = Symbol('u', polar=True)

assert mellin_transform(E1(x), x, s) == (gamma(s)/s, (0, oo), True)
assert inverse_mellin_transform(gamma(s)/s, s, x,
(0, oo)).rewrite(expint).expand() == E1(x)
assert mellin_transform(expint(a, x), x, s) == \
```

```from sympy.integrals.transforms import (mellin_transform,
inverse_mellin_transform, laplace_transform, inverse_laplace_transform,
fourier_transform, inverse_fourier_transform,
sine_transform, inverse_sine_transform,
cosine_transform, inverse_cosine_transform,
```
```def test_undefined_function():
from sympy import Function, MellinTransform
f = Function('f')
assert mellin_transform(f(x), x, s) == MellinTransform(f(x), x, s)
assert mellin_transform(f(x) + exp(-x), x, s) == \
```
```    u = Symbol('u', polar=True)

assert mellin_transform(E1(x), x, s) == (gamma(s)/s, (0, oo), True)
assert inverse_mellin_transform(gamma(s)/s, s, x,
(0, oo)).rewrite(expint).expand() == E1(x)
assert mellin_transform(expint(a, x), x, s) == \
```