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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+n−1).\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.