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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=-21/4, b1`>=-11/2 > For fixed z and a1=-21/4, b1`=-7/2





http://functions.wolfram.com/07.22.03.8656.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(7/2), 15/4}, z] == -((11 (4 z^(1/4) (68695568589375 + 91594091452500 Sqrt[z] + 23029371565200 z - 25122950798400 z^(3/2) + 9676988455680 z^2 - 23344528112640 z^(5/2) + 2110181068800 z^3 - 6762875535360 z^(7/2) + 307324846080 z^4 - 1056683851776 z^(9/2) + 38381027328 z^5 - 131680174080 z^(11/2) + 8204058624 z^6 - 33621540864 z^(13/2) - 268435456 z^7 + 1073741824 z^(15/2) + E^(4 Sqrt[z]) (-68695568589375 + 91594091452500 Sqrt[z] - 23029371565200 z - 25122950798400 z^(3/2) - 9676988455680 z^2 - 23344528112640 z^(5/2) - 2110181068800 z^3 - 6762875535360 z^(7/2) - 307324846080 z^4 - 1056683851776 z^(9/2) - 38381027328 z^5 - 131680174080 z^(11/2) - 8204058624 z^6 - 33621540864 z^(13/2) + 268435456 z^7 + 1073741824 z^(15/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (-68695568589375 + 50245901596800 z - 44663023641600 z^2 - 84071573913600 z^3 - 25868176588800 z^4 - 4087810621440 z^5 - 503115153408 z^6 - 135291469824 z^7 + 4294967296 z^8) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (-68695568589375 + 50245901596800 z - 44663023641600 z^2 - 84071573913600 z^3 - 25868176588800 z^4 - 4087810621440 z^5 - 503115153408 z^6 - 135291469824 z^7 + 4294967296 z^8) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z])/(5195192441241600 z^(11/4)))










Standard Form





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MathML Form







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





2007-05-02