Regularized Hypergeometric Function
المؤلف:
المرجع الالكتروني للمعلوماتيه
المصدر:
المرجع الالكتروني للمعلوماتيه
الجزء والصفحة:
...
18-6-2019
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Regularized Hypergeometric Function
Given a hypergeometric or generalized hypergeometric function 
, the corresponding regularized hypergeometric function is defined by
where 
is a gamma function. Regularized hypergeometric functions are implemented in the Wolfram Language as the functions Hypergeometric0F1Regularized[b, z], Hypergeometric1F1Regularized[a, b, z], Hypergeometric2F1Regularized[a, b, c, z], and in general, HypergeometricPFQRegularized[![<span style=]()
{" src="http://mathworld.wolfram.com/images/equations/RegularizedHypergeometricFunction/Inline3.gif" style="height:14px; width:5px" />a1, ...ap![<span style=]()
}" src="http://mathworld.wolfram.com/images/equations/RegularizedHypergeometricFunction/Inline4.gif" style="height:14px; width:5px" />, ![<span style=]()
{" src="http://mathworld.wolfram.com/images/equations/RegularizedHypergeometricFunction/Inline5.gif" style="height:14px; width:5px" />b1, ..., bq![<span style=]()
}" src="http://mathworld.wolfram.com/images/equations/RegularizedHypergeometricFunction/Inline6.gif" style="height:14px; width:5px" />, z].
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