Formula:KLS:01.07:03

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formula in Transformation formulas

Formula:KLS:01.07:04 >>

${\displaystyle{\displaystyle{\displaystyle{}{}\HyperpFq{1}{1}@@{a}{c}{z}={\mathrm{e}^{z}}\,\HyperpFq{1}{1}@@{c-a}{c}{-z}}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle{{}_{p}F_{q}}}}}$ : generalized hypergeometric function : http://dlmf.nist.gov/16.2#E1
${\displaystyle{\displaystyle{\displaystyle\mathrm{e}}}}$ : the base of the natural logarithm : http://dlmf.nist.gov/4.2.E11

Bibliography

Equation in Section 1.7 of KLS.

URL links

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