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hyperG0F1

hyperG0F1 (b, z)​

The hyperG0F1 function returns the confluent hypergeometric limit function

0F1(b;z)=∑i=0∞zii!(b)i,\displaystyle { }_{0} F_{1}(b ; z)=\sum_{i=0}^{\infty} \frac{z^{i}}{i!(b)_{i}},

where

(b)i\displaystyle (b)_{i}

is the Pochhammer symbol

(b)i=b(b+1)…(b+i−1).\displaystyle (b)_{i}=b(b+1) \ldots(b+i-1) .

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

See Also​

hyperG1F1, hyperG2F1, hyperGPFQ

References​

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