hypergeometric_U( *a* , *b* , *z* )

The confluent hypergeometric function of the second kind of *z* in SageMath. The solution to the differential equation

that satisfies \( U(a,b,z) \sim x^{-a} \) as \( x \rightarrow \infty \).

Plot on the real axis:

Series expansion about the origin:

Special values:

Related functions: hypergeometric_M hypergeometric

Function category: hypergeometric functions sagemath-docs