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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=-7/2





http://functions.wolfram.com/07.22.03.8086.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(7/2), 21/4}, z] == (221 (-4 z^(1/4) (5613331366173155625 + 7484441821564207500 Sqrt[z] + 3758935545123066000 z + 449968568924952000 z^(3/2) - 196212709300608000 z^2 + 75009054371328000 z^(5/2) + 25771933845504000 z^3 - 98336366508441600 z^(7/2) + 11096232660172800 z^4 - 39914713527091200 z^(9/2) + 1823338974412800 z^5 - 6818718390681600 z^(11/2) + 206733217628160 z^6 - 804207124807680 z^(13/2) + 22017076101120 z^7 - 101983998443520 z^(15/2) - 4874787880960 z^8 + 19705309954048 z^(17/2) + 68719476736 z^9 - 274877906944 z^(19/2) + E^(4 Sqrt[z]) (5613331366173155625 - 7484441821564207500 Sqrt[z] + 3758935545123066000 z - 449968568924952000 z^(3/2) - 196212709300608000 z^2 - 75009054371328000 z^(5/2) + 25771933845504000 z^3 + 98336366508441600 z^(7/2) + 11096232660172800 z^4 + 39914713527091200 z^(9/2) + 1823338974412800 z^5 + 6818718390681600 z^(11/2) + 206733217628160 z^6 + 804207124807680 z^(13/2) + 22017076101120 z^7 + 101983998443520 z^(15/2) - 4874787880960 z^8 - 19705309954048 z^(17/2) + 68719476736 z^9 + 274877906944 z^(19/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (5613331366173155625 - 2228617912128300000 z + 660331233223200000 z^2 - 244992457543680000 z^3 + 361041516380160000 z^4 + 154044380322201600 z^5 + 26674351570944000 z^6 + 3167269945344000 z^7 + 422302659379200 z^8 - 79027398246400 z^9 + 1099511627776 z^10) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] (5613331366173155625 - 2228617912128300000 z + 660331233223200000 z^2 - 244992457543680000 z^3 + 361041516380160000 z^4 + 154044380322201600 z^5 + 26674351570944000 z^6 + 3167269945344000 z^7 + 422302659379200 z^8 - 79027398246400 z^9 + 1099511627776 z^10) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z])/ (372391394188197888000 z^(17/4))










Standard Form





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MathML Form







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





2007-05-02