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variants of this functions
HypergeometricPFQRegularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQRegularized[{a1,...,ap},{b1,...,bq},z] > Specific values > Specialized values > Case q+1F~qat z==1





http://functions.wolfram.com/07.32.03.0038.01









  


  








Input Form





HypergeometricPFQRegularized[{-n, a/(q + 1), (a + 1)/(q + 1), \[Ellipsis], (a + q)/(q + 1), b/q, (b + 1)/q, \[Ellipsis], (b + q - 1)/q}, {(a + 1)/q, (a + 2)/q, \[Ellipsis], (a + q)/q, (b - 1)/(q + 1), b/(q + 1), \[Ellipsis], (b - 1 + q)/(q + 1)}, 1] == (2 Pi)^(1/2 - q) q^(1/2 + a) (1 + q)^(b - 3/2) Sum[(Pochhammer[-n, k] Pochhammer[a, q k + k] Pochhammer[b, q k])/(k! Gamma[a + 1 + q k] Gamma[b - 1 + q k + k]), {k, 0, n}] /; Element[n, Integers] && n > 0








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29