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Mathematica > Hypergeometric Functions >

Built-in Mathematica Symbol

Hypergeometric2F1Regularized

Hypergeometric2F1Regularized[a, b, c, z]
is the regularized hypergeometric function

Hypergeometric2F1Regularized[a, b, c, z] is finite for all finite values of a, b, c and z so long as .

For certain special arguments, Hypergeometric2F1Regularized automatically evaluates to exact values.

Evaluate numerically:

Regularize Hypergeometric2F1 for negative integer values of the parameter c:

Series expansion at the origin: