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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] > Specific values > Specialized values > Case 1Fq





http://functions.wolfram.com/07.31.03.0080.01









  


  








Input Form





HypergeometricPFQ[{1}, {(m + 1)/q, (m + 2)/q, \[Ellipsis], (m + q)/q}, z] == (m!/(q^(m + 1) z^(m/q))) (Sum[Exp[q Exp[(2 Pi I k)/q] z^(1/q)] Exp[-((2 Pi I k m)/q)], {k, 0, q - 1}] - q^(m + 1) Sum[z^(m/q - k) (1/(q^(q k) (m - q k)!)), {k, 1, Floor[m/q]}]) /; Element[q, Integers] && q > 0 && Element[m, Integers] && m >= 0








Standard Form





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MathML Form







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





2001-10-29