code: def entropy(df, scale, batch_shape, dtype):
      """Compute entropy of the StudentT distribution.
  
      Args:
        df: Floating-point `Tensor`. The degrees of freedom of the
          distribution(s). `df` must contain only positive values.
        scale: Floating-point `Tensor`; the scale(s) of the distribution(s). Must
          contain only positive values.
        batch_shape: Floating-point `Tensor` of the batch shape
        dtype: Return dtype.
  
      Returns:
        A `Tensor` of the entropy for a Student's T with these parameters.
      """
      v = tf.ones(batch_shape, dtype=dtype)
      u = v * df
      return (
          tf.math.log(tf.abs(scale))
          + 0.5 * tf.math.log(df)
          + special.lbeta(u / 2.0, v / 2.0)
          + 0.5
          * (df + 1.0)
          * (
              tf.math.digamma(0.5 * (df + 1.0))
              - tf.math.digamma(0.5 * df)
          )
      )
  
imports: import functools
  import numpy
  import tensorflow.compat.v2
  from tensorflow_probability.python.bijectors import identity
  from tensorflow_probability.python.bijectors import softplus
  from tensorflow_probability.python.distributions import distribution
  from tensorflow_probability.python.distributions import gamma
  from tensorflow_probability.python.internal import assert_util
  from tensorflow_probability.python.internal import custom_gradient
  from tensorflow_probability.python.internal import distribution_util
  from tensorflow_probability.python.internal import dtype_util
  from tensorflow_probability.python.internal import parameter_properties
  from tensorflow_probability.python.internal import prefer_static
  from tensorflow_probability.python.internal import reparameterization
  from tensorflow_probability.python.internal import samplers
  from tensorflow_probability.python.internal import special_math
  from tensorflow_probability.python.internal import tensor_util
  from tensorflow_probability.python.math import generic
  from tensorflow_probability.python.math import gradient
  from tensorflow_probability.python.math import numeric
  from tensorflow_probability.python.math import special
label_desc: Use image node_id 3 for calling a global function with example usage: entropy(df, scale, batch_shape, dtype) and returns: unknown