• ← HypergeometricPFQ
• → MeijerG

HypergeometricU

Confluent hypergeometric function (mpmath, WMA)

HypergeometricU[a, b, z]

returns $U(a, b, z)$.

Result is symbollicaly simplified, where possible:

• • HypergeometricU[3, 2, 1]

• • HypergeometricU[1,4,8]

unless a numerical evaluation is explicitly requested:

• • HypergeometricU[3, 2, 1] // N

• • HypergeometricU[3, 2, 1.]

Plot U[3, 2, x] from 0 to 10 in steps of 0.5:

• • Plot[HypergeometricU[3, 2, x], {x, 0.5, 10}]

We handle this special case:

• • HypergeometricU[0, b, z]