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 | | http://functions.wolfram.com/07.20.16.0005.01 | 
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 | | Hypergeometric1F1[a, b, c z] Hypergeometric1F1[\[Alpha], \[Beta], d z] == 
 HypergeometricPFQ[{{}, {a}, {\[Alpha]}}, {{}, {b}, {\[Beta]}}, c z, d z] | 
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 | | Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Hypergeometric1F1", "[", RowBox[List["a", ",", "b", ",", RowBox[List["c", " ", "z"]]]], "]"]], RowBox[List["Hypergeometric1F1", "[", RowBox[List["\[Alpha]", ",", "\[Beta]", ",", RowBox[List["d", " ", "z"]]]], "]"]]]], "\[Equal]", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["{", "}"]], ",", RowBox[List["{", "a", "}"]], ",", RowBox[List["{", "\[Alpha]", "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["{", "}"]], ",", RowBox[List["{", "b", "}"]], ",", RowBox[List["{", "\[Beta]", "}"]]]], "}"]], ",", RowBox[List["c", " ", "z"]], ",", RowBox[List["d", " ", "z"]]]], "]"]]]]]] | 
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   <math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'>  <semantics>  <mrow>  <mrow>  <semantics>  <mrow>  <mrow>  <msub>  <mo>   </mo>  <mn> 1 </mn>  </msub>  <msub>  <mi> F </mi>  <mn> 1 </mn>  </msub>  </mrow>  <mo> ⁡ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> a </mi>  <mo> ; </mo>  <mi> b </mi>  <mo> ; </mo>  <mrow>  <mi> c </mi>  <mo> ⁢ </mo>  <mi> z </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <annotation encoding='Mathematica'> TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", FormBox["1", TraditionalForm]], SubscriptBox["F", FormBox["1", TraditionalForm]]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[TagBox["a", Hypergeometric1F1, Rule[Editable, True]], InterpretTemplate[Function[List[SlotSequence[1]]]]], Hypergeometric1F1, Rule[Editable, False]], ";", TagBox[TagBox[TagBox["b", Hypergeometric1F1, Rule[Editable, True]], InterpretTemplate[Function[List[SlotSequence[1]]]]], Hypergeometric1F1, Rule[Editable, False]], ";", TagBox[RowBox[List["c", " ", "z"]], Hypergeometric1F1, Rule[Editable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False]], Hypergeometric1F1] </annotation>  </semantics>  <mo> ⁢ </mo>  <semantics>  <mrow>  <mrow>  <msub>  <mo>   </mo>  <mn> 1 </mn>  </msub>  <msub>  <mi> F </mi>  <mn> 1 </mn>  </msub>  </mrow>  <mo> ⁡ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> α </mi>  <mo> ; </mo>  <mi> β </mi>  <mo> ; </mo>  <mrow>  <mi> d </mi>  <mo> ⁢ </mo>  <mi> z </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <annotation encoding='Mathematica'> TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", FormBox["1", TraditionalForm]], SubscriptBox["F", FormBox["1", TraditionalForm]]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[TagBox["\[Alpha]", Hypergeometric1F1, Rule[Editable, True]], InterpretTemplate[Function[List[SlotSequence[1]]]]], Hypergeometric1F1, Rule[Editable, False]], ";", TagBox[TagBox[TagBox["\[Beta]", Hypergeometric1F1, Rule[Editable, True]], InterpretTemplate[Function[List[SlotSequence[1]]]]], Hypergeometric1F1, Rule[Editable, False]], ";", TagBox[RowBox[List["d", " ", "z"]], Hypergeometric1F1, Rule[Editable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False]], Hypergeometric1F1] </annotation>  </semantics>  </mrow>  <mo> ⩵ </mo>  <mrow>  <msubsup>  <mi> F </mi>  <mrow>  <mrow>  <mn> 0 </mn>  <mo> : </mo>  <mn> 1 </mn>  </mrow>  <mo> ; 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</mo>  <mi> β </mi>  <mo> ; </mo>  <mrow>  <mi> d </mi>  <mo> ⁢ </mo>  <mi> z </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <annotation encoding='Mathematica'> TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", FormBox["1", TraditionalForm]], SubscriptBox["F", FormBox["1", TraditionalForm]]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[TagBox["\[Alpha]", Hypergeometric1F1, Rule[Editable, True]], InterpretTemplate[Function[List[SlotSequence[1]]]]], Hypergeometric1F1, Rule[Editable, False]], ";", TagBox[TagBox[TagBox["\[Beta]", Hypergeometric1F1, Rule[Editable, True]], InterpretTemplate[Function[List[SlotSequence[1]]]]], Hypergeometric1F1, Rule[Editable, False]], ";", TagBox[RowBox[List["d", " ", "z"]], Hypergeometric1F1, Rule[Editable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False]], Hypergeometric1F1] </annotation>  </semantics>  </mrow>  <mo> ⩵ </mo>  <mrow>  <msubsup>  <mi> F </mi>  <mrow>  <mrow>  <mn> 0 </mn>  <mo> : </mo>  <mn> 1 </mn>  </mrow>  <mo> ; </mo>  <mn> 1 </mn>  </mrow>  <mrow>  <mrow>  <mn> 0 </mn>  <mo> : </mo>  <mn> 1 </mn>  </mrow>  <mo> ; </mo>  <mn> 1 </mn>  </mrow>  </msubsup>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mtable>  <mtr>  <mtd>  <mrow>  <mrow>  <mo> : </mo>  <mi> a </mi>  </mrow>  <mo> ; </mo>  <mi> α </mi>  <mo> ; </mo>  </mrow>  </mtd>  </mtr>  <mtr>  <mtd>  <mrow>  <mrow>  <mo> : </mo>  <mi> b </mi>  </mrow>  <mo> ; </mo>  <mi> β </mi>  <mo> ; </mo>  </mrow>  </mtd>  </mtr>  </mtable>  <mo> ⁢ </mo>  <mi> c </mi>  <mo> ⁢ </mo>  <mi> z </mi>  </mrow>  <mo> , </mo>  <mrow>  <mi> d </mi>  <mo> ⁢ </mo>  <mi> z </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  </annotation-xml>  </semantics>  </math> 
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 | | Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["Hypergeometric1F1", "[", RowBox[List["a_", ",", "b_", ",", RowBox[List["c_", " ", "z_"]]]], "]"]], " ", RowBox[List["Hypergeometric1F1", "[", RowBox[List["\[Alpha]_", ",", "\[Beta]_", ",", RowBox[List["d_", " ", "z_"]]]], "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["{", "}"]], ",", RowBox[List["{", "a", "}"]], ",", RowBox[List["{", "\[Alpha]", "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["{", "}"]], ",", RowBox[List["{", "b", "}"]], ",", RowBox[List["{", "\[Beta]", "}"]]]], "}"]], ",", RowBox[List["c", " ", "z"]], ",", RowBox[List["d", " ", "z"]]]], "]"]]]]]] | 
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 | | Date Added to functions.wolfram.com (modification date) | 
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 | | HypergeometricPFQ[{},{},z] |  | HypergeometricPFQ[{},{b},z] |  | HypergeometricPFQ[{a},{},z] |  | HypergeometricPFQ[{a1},{b1,b2},z] |  | HypergeometricPFQ[{a1,a2},{b1},z] |  | HypergeometricPFQ[{a1,a2},{b1,b2},z] |  | HypergeometricPFQ[{a1,a2},{b1,b2,b3},z] |  | HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] |  | HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] |  | HypergeometricPFQ[{a1,a2,a3,a4,a5},{b1,b2,b3,b4},z] |  | HypergeometricPFQ[{a1,a2,a3,a4,a5,a6},{b1,b2,b3,b4,b5},z] |  | HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] |  |  | 
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