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Computes the Exponential integral of x element-wise.

    x, name=None

The Exponential integral is defined as the integral of exp(t) / t from -inf to x, with the domain of definition all positive real numbers.

tf.math.special.expint([1., 1.1, 2.1, 4.1]).numpy() 
array([ 1.8951179,  2.1673784,  5.3332353, 21.048464], dtype=float32) 

This implementation is based off of the Cephes math library.


  • x: A Tensor or SparseTensor. Must be one of the following types: float32, float64.
  • name: A name for the operation (optional).


A Tensor or SparseTensor, respectively. Has the same type as x.

Scipy Compatibility

Equivalent to scipy.special.expi