DLMF:15.8.E24 (Q5081): Difference between revisions

From DRMF
Jump to navigation Jump to search
Changed an Item: Add constraint
Changed an Item: Add constraint
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q11644 / rank
 
Normal rank
Property / Symbols used: Q11644 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}

z
Property / Symbols used: Q11644 / qualifier
 
xml-id: C15.S1.XMD3.m1wdec
Property / Symbols used
 
Property / Symbols used: Q11645 / rank
 
Normal rank
Property / Symbols used: Q11645 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}

a
Property / Symbols used: Q11645 / qualifier
 
xml-id: C15.S1.XMD4.m1vdec
Property / Symbols used
 
Property / Symbols used: Q11646 / rank
 
Normal rank
Property / Symbols used: Q11646 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b}

b
Property / Symbols used: Q11646 / qualifier
 
xml-id: C15.S1.XMD5.m1sdec

Latest revision as of 14:06, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:15.8.E24
No description defined

    Statements

    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperF@@{a}{b}{a-b+1}{z}=(1-z)^{-a}\frac{\EulerGamma@{a-b+1}\EulerGamma@{\tfrac{1}{2}}}{\EulerGamma@{\tfrac{1}{2}a+\tfrac{1}{2}}\EulerGamma@{\tfrac{1}{2}a-b+1}}\hyperF@@{\tfrac{1}{2}a}{\tfrac{1}{2}a-b+\tfrac{1}{2}}{\tfrac{1}{2}}{\left(\frac{z+1}{z-1}\right)^{2}}+(1+z)(1-z)^{-a-1}\frac{\EulerGamma@{a-b+1}\EulerGamma@{-\tfrac{1}{2}}}{\EulerGamma@{\tfrac{1}{2}a}\EulerGamma@{\tfrac{1}{2}a-b+\tfrac{1}{2}}}\hyperF@@{\tfrac{1}{2}a+\tfrac{1}{2}}{\tfrac{1}{2}a-b+1}{\tfrac{3}{2}}{\left(\frac{z+1}{z-1}\right)^{2}},}
    0 references
    DLMF:15.8.E24
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase@{-z}|<\pi}
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
    C5.S2.E1.m2ahdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}}
    C15.S2.E1.m2amdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    C3.S12.E1.m2andec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phase}
    C1.S9.E7.m1andec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
    C15.S1.XMD3.m1wdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}
    C15.S1.XMD4.m1vdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b}
    C15.S1.XMD5.m1sdec
    0 references