DLMF:15.10.E8 (Q5124): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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(9 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: Q10759 / rank | |||
Normal rank | |||
Property / Symbols used: Q10759 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Pochhammersym{\NVar{a}}{\NVar{n}}}\Pochhammersym{\NVar{a}}{\NVar{n}} | |||
Property / Symbols used: Q10759 / qualifier | |||
xml-id: C5.S2.SS3.m1adec | |||
Property / Symbols used | |||
Property / Symbols used: psi (or digamma) function / rank | |||
Normal rank | |||
Property / Symbols used: psi (or digamma) function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \digamma@{\NVar{z}}}\digamma@{\NVar{z}} | |||
Property / Symbols used: psi (or digamma) function / qualifier | |||
xml-id: C5.S2.E2.m2adec | |||
Property / Symbols used | |||
Property / Symbols used: Q10755 / rank | |||
Normal rank | |||
Property / Symbols used: Q10755 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !}! | |||
Property / Symbols used: Q10755 / qualifier | |||
xml-id: introduction.Sx4.p1.t1.r15.m5adec | |||
Property / Symbols used | |||
Property / Symbols used: principal branch of logarithm function / rank | |||
Normal rank | |||
Property / Symbols used: principal branch of logarithm function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{\NVar{z}}}\ln@@{\NVar{z}} | |||
Property / Symbols used: principal branch of logarithm function / qualifier | |||
xml-id: C4.S2.E2.m2adec | |||
Property / Symbols used | |||
Property / Symbols used: Q11650 / rank | |||
Normal rank | |||
Property / Symbols used: Q11650 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}n | |||
Property / Symbols used: Q11650 / qualifier | |||
xml-id: C15.S1.XMD10.m1dec | |||
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.m1gdec | |||
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.m1gdec | |||
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.m1gdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11658 / rank | |||
Normal rank | |||
Property / Symbols used: Q11658 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}k | |||
Property / Symbols used: Q11658 / qualifier | |||
xml-id: C15.S1.XMD7.m1dec | |||
Property / Symbols used | |||
Property / Symbols used: Q11651 / rank | |||
Normal rank | |||
Property / Symbols used: Q11651 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}m | |||
Property / Symbols used: Q11651 / qualifier | |||
xml-id: C15.S1.XMD9.m1dec |
Latest revision as of 14:13, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:15.10.E8 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperF@@{a}{b}{n}{z}\ln@@{z}-\sum_{k=1}^{n-1}\frac{(n-1)!(k-1)!}{(n-k-1)!\Pochhammersym{1-a}{k}\Pochhammersym{1-b}{k}}(-z)^{-k}\\ +\sum_{k=0}^{\infty}\frac{\Pochhammersym{a}{k}\Pochhammersym{b}{k}}{\Pochhammersym{n}{k}k!}z^{k}\left(\digamma@{a+k}+\digamma@{b+k}-\digamma@{1+k}-\digamma@{n+k}\right),}
0 references
DLMF:15.10.E8
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a,b\neq n-1,n-2,\dots,0,-1,-2,\dots}
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.m2acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Pochhammersym{\NVar{a}}{\NVar{n}}}
C5.S2.SS3.m1adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \digamma@{\NVar{z}}}
C5.S2.E2.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !}
introduction.Sx4.p1.t1.r15.m5adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{\NVar{z}}}
C4.S2.E2.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
C15.S1.XMD10.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C15.S1.XMD3.m1gdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}
C15.S1.XMD4.m1gdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b}
C15.S1.XMD5.m1gdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}
C15.S1.XMD7.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
C15.S1.XMD9.m1dec
0 references