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 KelvinKer

 http://functions.wolfram.com/03.20.21.0002.01

 Input Form

 Integrate[(t^(\[Alpha] - 1) KelvinKer[\[Nu], t])/E^(p t), {t, 0, Infinity}] == 2^(-3 - \[Nu]) p^(-\[Alpha] - \[Nu]) (Gamma[-1 - \[Nu]] Gamma[\[Alpha] + \[Nu]] (-4 (1 + \[Nu]) Cos[(Pi \[Nu])/4] HypergeometricPFQ[ {\[Alpha]/4 + \[Nu]/4, 1/4 + \[Alpha]/4 + \[Nu]/4, 1/2 + \[Alpha]/4 + \[Nu]/4, 3/4 + \[Alpha]/4 + \[Nu]/4}, {1/2, 1/2 + \[Nu]/2, 1 + \[Nu]/2}, -(1/p^4)] - (1/p^2) (\[Alpha] + \[Nu]) (1 + \[Alpha] + \[Nu]) Sin[(Pi \[Nu])/4] HypergeometricPFQ[{1/2 + \[Alpha]/4 + \[Nu]/4, 3/4 + \[Alpha]/4 + \[Nu]/4, 1 + \[Alpha]/4 + \[Nu]/4, 5/4 + \[Alpha]/4 + \[Nu]/4}, {3/2, 1 + \[Nu]/2, 3/2 + \[Nu]/2}, -(1/p^4)]) + 4^\[Nu] p^(2 \[Nu]) Gamma[\[Alpha] - \[Nu]] Gamma[-1 + \[Nu]] (4 (-1 + \[Nu]) Cos[(3 Pi \[Nu])/4] HypergeometricPFQ[ {\[Alpha]/4 - \[Nu]/4, 1/4 + \[Alpha]/4 - \[Nu]/4, 1/2 + \[Alpha]/4 - \[Nu]/4, 3/4 + \[Alpha]/4 - \[Nu]/4}, {1/2, 1/2 - \[Nu]/2, 1 - \[Nu]/2}, -(1/p^4)] - (1/p^2) (\[Alpha] - \[Nu]) (1 + \[Alpha] - \[Nu]) Sin[(3 Pi \[Nu])/4] HypergeometricPFQ[{1/2 + \[Alpha]/4 - \[Nu]/4, 3/4 + \[Alpha]/4 - \[Nu]/4, 1 + \[Alpha]/4 - \[Nu]/4, 5/4 + \[Alpha]/4 - \[Nu]/4}, {3/2, 1 - \[Nu]/2, 3/2 - \[Nu]/2}, -(1/p^4)])) /; Re[\[Alpha] + \[Nu]] > 0 && Re[\[Alpha] - \[Nu]] > 0 && Re[p] > -(1/Sqrt[2]) && !Element[\[Nu], Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"], RowBox[List[SuperscriptBox["t", RowBox[List["\[Alpha]", "-", "1"]]], SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", "p"]], " ", "t"]]], RowBox[List["KelvinKer", "[", RowBox[List["\[Nu]", ",", "t"]], "]"]], RowBox[List["\[DifferentialD]", "t"]]]]]], "\[Equal]", RowBox[List[SuperscriptBox["2", RowBox[List[RowBox[List["-", "3"]], "-", "\[Nu]"]]], " ", SuperscriptBox["p", RowBox[List[RowBox[List["-", "\[Alpha]"]], "-", "\[Nu]"]]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["Gamma", "[", RowBox[List[RowBox[List["-", "1"]], "-", "\[Nu]"]], "]"]], " ", RowBox[List["Gamma", "[", RowBox[List["\[Alpha]", "+", "\[Nu]"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "4"]], " ", RowBox[List["(", RowBox[List["1", "+", "\[Nu]"]], ")"]], " ", RowBox[List["Cos", "[", FractionBox[RowBox[List["\[Pi]", " ", "\[Nu]"]], "4"], "]"]], " ", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List[FractionBox["\[Alpha]", "4"], "+", FractionBox["\[Nu]", "4"]]], ",", RowBox[List[FractionBox["1", "4"], "+", FractionBox["\[Alpha]", "4"], "+", FractionBox["\[Nu]", "4"]]], ",", RowBox[List[FractionBox["1", "2"], "+", FractionBox["\[Alpha]", "4"], "+", FractionBox["\[Nu]", "4"]]], ",", RowBox[List[FractionBox["3", "4"], "+", FractionBox["\[Alpha]", "4"], "+", FractionBox["\[Nu]", "4"]]]]], "}"]], ",", RowBox[List["{", RowBox[List[FractionBox["1", "2"], ",", RowBox[List[FractionBox["1", "2"], "+", FractionBox["\[Nu]", "2"]]], ",", RowBox[List["1", "+", FractionBox["\[Nu]", "2"]]]]], "}"]], ",", RowBox[List["-", FractionBox["1", SuperscriptBox["p", "4"]]]]]], "]"]]]], "-", RowBox[List[FractionBox["1", SuperscriptBox["p", "2"]], RowBox[List["(", RowBox[List["\[Alpha]", "+", "\[Nu]"]], ")"]], " ", RowBox[List["(", RowBox[List["1", "+", "\[Alpha]", "+", "\[Nu]"]], ")"]], RowBox[List["Sin", "[", FractionBox[RowBox[List["\[Pi]", " ", "\[Nu]"]], "4"], "]"]], " ", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List[FractionBox["1", "2"], "+", FractionBox["\[Alpha]", "4"], "+", FractionBox["\[Nu]", "4"]]], ",", RowBox[List[FractionBox["3", "4"], "+", FractionBox["\[Alpha]", "4"], "+", FractionBox["\[Nu]", "4"]]], ",", RowBox[List["1", "+", FractionBox["\[Alpha]", "4"], "+", FractionBox["\[Nu]", "4"]]], ",", RowBox[List[FractionBox["5", "4"], "+", FractionBox["\[Alpha]", "4"], "+", FractionBox["\[Nu]", "4"]]]]], "}"]], ",", RowBox[List["{", RowBox[List[FractionBox["3", "2"], ",", RowBox[List["1", "+", FractionBox["\[Nu]", "2"]]], ",", RowBox[List[FractionBox["3", "2"], "+", FractionBox["\[Nu]", "2"]]]]], "}"]], ",", RowBox[List["-", FractionBox["1", SuperscriptBox["p", "4"]]]]]], "]"]]]]]], ")"]]]], "+", RowBox[List[SuperscriptBox["4", "\[Nu]"], " ", SuperscriptBox["p", RowBox[List["2", " ", "\[Nu]"]]], " ", RowBox[List["Gamma", "[", RowBox[List["\[Alpha]", "-", "\[Nu]"]], "]"]], " ", RowBox[List["Gamma", "[", RowBox[List[RowBox[List["-", "1"]], "+", "\[Nu]"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List["4", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", "\[Nu]"]], ")"]], " ", RowBox[List["Cos", "[", FractionBox[RowBox[List["3", " ", "\[Pi]", " ", "\[Nu]"]], "4"], "]"]], " ", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List[FractionBox["\[Alpha]", "4"], "-", FractionBox["\[Nu]", "4"]]], ",", RowBox[List[FractionBox["1", "4"], "+", FractionBox["\[Alpha]", "4"], "-", FractionBox["\[Nu]", "4"]]], ",", RowBox[List[FractionBox["1", "2"], "+", FractionBox["\[Alpha]", "4"], "-", FractionBox["\[Nu]", "4"]]], ",", RowBox[List[FractionBox["3", "4"], "+", FractionBox["\[Alpha]", "4"], "-", FractionBox["\[Nu]", "4"]]]]], "}"]], ",", RowBox[List["{", RowBox[List[FractionBox["1", "2"], ",", RowBox[List[FractionBox["1", "2"], "-", FractionBox["\[Nu]", "2"]]], ",", RowBox[List["1", "-", FractionBox["\[Nu]", "2"]]]]], "}"]], ",", RowBox[List["-", FractionBox["1", SuperscriptBox["p", "4"]]]]]], "]"]]]], "-", RowBox[List[FractionBox["1", SuperscriptBox["p", "2"]], RowBox[List["(", RowBox[List["\[Alpha]", "-", "\[Nu]"]], ")"]], " ", RowBox[List["(", RowBox[List["1", "+", "\[Alpha]", "-", "\[Nu]"]], ")"]], RowBox[List["Sin", "[", FractionBox[RowBox[List["3", " ", "\[Pi]", " ", "\[Nu]"]], "4"], "]"]], " ", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List[FractionBox["1", "2"], "+", FractionBox["\[Alpha]", "4"], "-", FractionBox["\[Nu]", "4"]]], ",", RowBox[List[FractionBox["3", "4"], "+", FractionBox["\[Alpha]", "4"], "-", FractionBox["\[Nu]", "4"]]], ",", RowBox[List["1", "+", FractionBox["\[Alpha]", "4"], "-", FractionBox["\[Nu]", "4"]]], ",", RowBox[List[FractionBox["5", "4"], "+", FractionBox["\[Alpha]", "4"], "-", FractionBox["\[Nu]", "4"]]]]], "}"]], ",", RowBox[List["{", RowBox[List[FractionBox["3", "2"], ",", RowBox[List["1", "-", FractionBox["\[Nu]", "2"]]], ",", RowBox[List[FractionBox["3", "2"], "-", FractionBox["\[Nu]", "2"]]]]], "}"]], ",", RowBox[List["-", FractionBox["1", SuperscriptBox["p", "4"]]]]]], "]"]]]]]], " ", ")"]]]]]], ")"]]]]]], "/;", RowBox[List[RowBox[List[RowBox[List["Re", "[", RowBox[List["\[Alpha]", "+", "\[Nu]"]], "]"]], ">", "0"]], "\[And]", RowBox[List[RowBox[List["Re", "[", RowBox[List["\[Alpha]", "-", "\[Nu]"]], "]"]], ">", "0"]], "\[And]", RowBox[List[RowBox[List["Re", "[", "p", "]"]], ">", RowBox[List["-", FractionBox["1", SqrtBox["2"]]]]]], "\[And]", RowBox[List["Not", "[", RowBox[List["Element", "[", RowBox[List["\[Nu]", ",", "Integers"]], "]"]], "]"]]]]]]]]

 MathML Form

 0 t α - 1 - p t ker ν ( t ) t 2 - ν - 3 p - α - ν ( 4 ν Γ ( α - ν ) Γ ( ν - 1 ) p 2 ν ( 4 ( ν - 1 ) cos ( 3 π ν 4 ) 4 F 3 ( α 4 - ν 4 , α 4 - ν 4 + 1 4 , α 4 + 1 2 - ν 4 , α 4 - ν 4 + 3 4 ; 1 2 , 1 2 - ν 2 , 1 - ν 2 ; - 1 p 4 ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "4"], SubscriptBox["F", "3"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List[FractionBox["\[Alpha]", "4"], "-", FractionBox["\[Nu]", "4"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List[FractionBox["\[Alpha]", "4"], "-", FractionBox["\[Nu]", "4"], "+", FractionBox["1", "4"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List[FractionBox["\[Alpha]", "4"], "+", FractionBox["1", "2"], "-", FractionBox["\[Nu]", "4"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List[FractionBox["\[Alpha]", "4"], "-", FractionBox["\[Nu]", "4"], "+", FractionBox["3", "4"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[FractionBox["1", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List[FractionBox["1", "2"], "-", FractionBox["\[Nu]", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["1", "-", FractionBox["\[Nu]", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[RowBox[List["-", FractionBox["1", SuperscriptBox["p", "4"]]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] - ( α - ν ) ( α - ν + 1 ) sin ( 3 π ν 4 ) p 2 4 F 3 ( α 4 + 1 2 - ν 4 , α 4 - ν 4 + 3 4 , α 4 - ν 4 + 1 , α 4 - ν 4 + 5 4 ; 3 2 , 1 - ν 2 , 3 2 - ν 2 ; - 1 p 4 ) TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "4"], SubscriptBox["F", "3"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List[FractionBox["\[Alpha]", "4"], "+", FractionBox["1", "2"], "-", FractionBox["\[Nu]", "4"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List[FractionBox["\[Alpha]", "4"], "-", FractionBox["\[Nu]", "4"], "+", FractionBox["3", "4"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List[FractionBox["\[Alpha]", "4"], "-", FractionBox["\[Nu]", "4"], "+", "1"]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List[FractionBox["\[Alpha]", "4"], "-", FractionBox["\[Nu]", "4"], "+", FractionBox["5", "4"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[FractionBox["3", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["1", "-", FractionBox["\[Nu]", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List[FractionBox["3", "2"], "-", FractionBox["\[Nu]", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[RowBox[List["-", FractionBox["1", SuperscriptBox["p", "4"]]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]] ) + Γ ( - ν - 1 ) Γ ( α + ν ) ( - 4 ( ν + 1 ) cos ( π ν 4 ) 4 F 3 ( α 4 + ν 4 , α 4 + ν 4 + 1 4 , α 4 + ν 4 + 1 2 , α 4 + ν 4 + 3 4 ; 1 2 , ν 2 + 1 2 , ν 2 + 1 ; - 1 p 4 ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "4"], SubscriptBox["F", "3"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List[FractionBox["\[Alpha]", "4"], "+", FractionBox["\[Nu]", "4"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List[FractionBox["\[Alpha]", "4"], "+", FractionBox["\[Nu]", "4"], "+", FractionBox["1", "4"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List[FractionBox["\[Alpha]", "4"], "+", FractionBox["\[Nu]", "4"], "+", FractionBox["1", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List[FractionBox["\[Alpha]", "4"], "+", FractionBox["\[Nu]", "4"], "+", FractionBox["3", "4"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[FractionBox["1", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "2"], "+", FractionBox["1", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "2"], "+", "1"]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[RowBox[List["-", FractionBox["1", SuperscriptBox["p", "4"]]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] - ( α + ν ) ( α + ν + 1 ) sin ( π ν 4 ) p 2 4 F 3 ( α 4 + ν 4 + 1 2 , α 4 + ν 4 + 3 4 , α 4 + ν 4 + 1 , α 4 + ν 4 + 5 4 ; 3 2 , ν 2 + 1 , ν 2 + 3 2 ; - 1 p 4 ) TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "4"], SubscriptBox["F", "3"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List[FractionBox["\[Alpha]", "4"], "+", FractionBox["\[Nu]", "4"], "+", FractionBox["1", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List[FractionBox["\[Alpha]", "4"], "+", FractionBox["\[Nu]", "4"], "+", FractionBox["3", "4"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List[FractionBox["\[Alpha]", "4"], "+", FractionBox["\[Nu]", "4"], "+", "1"]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List[FractionBox["\[Alpha]", "4"], "+", FractionBox["\[Nu]", "4"], "+", FractionBox["5", "4"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[FractionBox["3", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "2"], "+", "1"]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "2"], "+", FractionBox["3", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[RowBox[List["-", FractionBox["1", SuperscriptBox["p", "4"]]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]] ) ) /; Re ( α + ν ) > 0 Re ( α - ν ) > 0 Re ( p ) > - 1 2 ν TagBox["\[DoubleStruckCapitalZ]", Function[List[], Integers]] Condition t 0 t α -1 -1 p t KelvinKer ν t 2 -1 ν -3 p -1 α -1 ν 4 ν Gamma α -1 ν Gamma ν -1 p 2 ν 4 ν -1 3 ν 4 -1 HypergeometricPFQ α 4 -1 -1 ν 4 -1 α 4 -1 -1 ν 4 -1 1 4 α 4 -1 1 2 -1 ν 4 -1 α 4 -1 -1 ν 4 -1 3 4 1 2 1 2 -1 ν 2 -1 1 -1 ν 2 -1 -1 1 p 4 -1 -1 α -1 ν α -1 ν 1 3 ν 4 -1 p 2 -1 HypergeometricPFQ α 4 -1 1 2 -1 ν 4 -1 α 4 -1 -1 ν 4 -1 3 4 α 4 -1 -1 ν 4 -1 1 α 4 -1 -1 ν 4 -1 5 4 3 2 1 -1 ν 2 -1 3 2 -1 ν 2 -1 -1 1 p 4 -1 Gamma -1 ν -1 Gamma α ν -4 ν 1 ν 4 -1 HypergeometricPFQ α 4 -1 ν 4 -1 α 4 -1 ν 4 -1 1 4 α 4 -1 ν 4 -1 1 2 α 4 -1 ν 4 -1 3 4 1 2 ν 2 -1 1 2 ν 2 -1 1 -1 1 p 4 -1 -1 α ν α ν 1 ν 4 -1 p 2 -1 HypergeometricPFQ α 4 -1 ν 4 -1 1 2 α 4 -1 ν 4 -1 3 4 α 4 -1 ν 4 -1 1 α 4 -1 ν 4 -1 5 4 3 2 ν 2 -1 1 ν 2 -1 3 2 -1 1 p 4 -1 α ν 0 α -1 ν 0 p -1 1 2 1 2 -1 ν [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"], RowBox[List[RowBox[List[SuperscriptBox["t_", RowBox[List["\[Alpha]_", "-", "1"]]], " ", SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", "p_"]], " ", "t_"]]], " ", RowBox[List["KelvinKer", "[", RowBox[List["\[Nu]_", ",", "t_"]], "]"]]]], RowBox[List["\[DifferentialD]", "t_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SuperscriptBox["2", RowBox[List[RowBox[List["-", "3"]], "-", "\[Nu]"]]], " ", SuperscriptBox["p", RowBox[List[RowBox[List["-", "\[Alpha]"]], "-", "\[Nu]"]]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["Gamma", "[", RowBox[List[RowBox[List["-", "1"]], "-", "\[Nu]"]], "]"]], " ", RowBox[List["Gamma", "[", RowBox[List["\[Alpha]", "+", "\[Nu]"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "4"]], " ", RowBox[List["(", RowBox[List["1", "+", "\[Nu]"]], ")"]], " ", RowBox[List["Cos", "[", 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 Date Added to functions.wolfram.com (modification date)

 2007-05-02