HypergeometricIR

Description

HypergeometricIR[exp, t] substitutes for all Hypergeometric2F1[a,b,c,z] in exp by its Euler integral reprentation. The factor Integratedx[t, 0, 1] can be omitted by setting the option Integratedx -> False.

See also:  HypergeometricAC, HypergeometricSE, ToHypergeometric.

Options[HypergeometricIR]

Examples

HypergeometricIR[Hypergeometric2F1[a, b, c, z], t]

ToHypergeometric[t^b (1 - t)^c (1 + t z)^a, t]

HypergeometricIR[%, t]