|---| | [ View source on GitHub](https://github.com/tensorflow/probability/blob/v0.25.0/tensorflow_probability/python/math/special.py#L1987-L2012) | Returns lgamma(y) - lgamma(x + y), accurately. tfp.math.log_gamma_difference( x, y, name=None ) This is more accurate than subtracting lgammas directly because lgamma grows as `x log(x) - x + o(x)`, and thus subtracting the value of lgamma for two close, large arguments incurs catastrophic cancellation. When `y >= 8`, the method is to partition lgamma into the Stirling approximation and the correction `log_gamma_correction`, symbolically cancel the former, and compute and subtract the latter.


| ## Args || |---|---| | `x` | Floating-point Tensor. `x` should be non-negative, and elementwise no more than `y`. | | `y` | Floating-point Tensor. `y` should be positive. | | `name` | Optional Python `str` naming the operation. |



| ## Returns || |---|---| | `lgamma_diff` | Floating-point Tensor, the difference lgamma(y) - lgamma(x+y), computed elementwise. |