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 HypergeometricPFQ

 http://functions.wolfram.com/07.22.03.0303.01

 Input Form

 HypergeometricPFQ[{a}, {a - 5, c}, z] == z^((1 - c)/2) (((-z) (-10 a^3 + 11 c^2 + c^3 + 10 a^2 (7 + c) - 5 a (30 + 9 c + c^2) + 2 c (23 + z) + 4 (24 + z)) + (-1 + a) (-154 a + 71 a^2 - 14 a^3 + a^4 + 5 (24 + z^2))) BesselI[-1 + c, 2 Sqrt[z]] + Sqrt[z] (120 + 5 a^4 + 11 c^3 + c^4 - 10 a^3 (5 + c) + 36 z + z^2 + 5 a^2 (35 + 14 c + 2 c^2 + 2 z) + c^2 (46 + 3 z) + c (96 + 19 z) - 5 a (50 + 9 c^2 + c^3 + 8 z + 2 c (15 + z))) BesselI[c, 2 Sqrt[z]]) (Gamma[c]/((-5 + a) (-4 + a) (-3 + a) (-2 + a) (-1 + a)))

 Standard Form

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 MathML Form

 1 F 2 ( a ; a - 5 , c ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", FormBox["1", TraditionalForm]], SubscriptBox["F", FormBox["2", TraditionalForm]]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[TagBox["a", HypergeometricPFQ, Rule[Editable, True]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[RowBox[List["a", "-", "5"]], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox["c", HypergeometricPFQ, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False]], ";", TagBox["z", HypergeometricPFQ, Rule[Editable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False]], HypergeometricPFQ] ( z 1 - c 2 ( ( ( a - 1 ) ( a 4 - 14 a 3 + 71 a 2 - 154 a + 5 ( z 2 + 24 ) ) - z ( - 10 a 3 + 10 ( c + 7 ) a 2 - 5 ( c 2 + 9 c + 30 ) a + c 3 + 11 c 2 + 2 c ( z + 23 ) + 4 ( z + 24 ) ) ) I c - 1 ( 2 z ) + z ( 5 a 4 - 10 ( c + 5 ) a 3 + 5 ( 2 c 2 + 14 c + 2 z + 35 ) a 2 - 5 ( c 3 + 9 c 2 + 2 ( z + 15 ) c + 8 z + 50 ) a + c 4 + 11 c 3 + z 2 + 36 z + c 2 ( 3 z + 46 ) + c ( 19 z + 96 ) + 120 ) I c ( 2 z ) ) Γ ( c ) ) / ( ( a - 5 ) ( a - 4 ) ( a - 3 ) ( a - 2 ) ( a - 1 ) ) HypergeometricPFQ a a -5 c z z 1 -1 c 2 -1 a -1 a 4 -1 14 a 3 71 a 2 -1 154 a 5 z 2 24 -1 z -10 a 3 10 c 7 a 2 -1 5 c 2 9 c 30 a c 3 11 c 2 2 c z 23 4 z 24 BesselI c -1 2 z 1 2 z 1 2 5 a 4 -1 10 c 5 a 3 5 2 c 2 14 c 2 z 35 a 2 -1 5 c 3 9 c 2 2 z 15 c 8 z 50 a c 4 11 c 3 z 2 36 z c 2 3 z 46 c 19 z 96 120 BesselI c 2 z 1 2 Gamma c a -5 a -4 a -3 a -2 a -1 -1 [/itex]

 Rule Form

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

 2002-12-18