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hyperG1F1

hyperG1F1 (a, b, z)

The hyperG1F1 function returns the confluent hypergeometric function

1F1(a,b,z)=n=0(a)nzn(b)nn!,\displaystyle { }_{1} F_{1}(a, b, z)=\sum_{n=0}^{\infty} \frac{(a)_{n} z^{n}}{(b)_{n} n!},

where (a)n is the Pochhammer symbol

(a)n=a(a+1)(a+n1).\displaystyle (a)_{n}=a(a+1) \ldots(a+n-1) .

The series evaluation may be computationally intensive. You can abort the computation by pressing the User Abort Key Combinations.

See Also

hyperG0F1, hyperG2F1, hyperGPFQ

References

The PFQ algorithm was developed by Warren F. Perger, Atul Bhalla and Mark Nardin.