DLMF:14.8.E9 (Q4783)

No description defined

Language	Label	Description	Also known as
English	DLMF:14.8.E9	No description defined

Statements

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \assLegendreOlverQ[]{\nu}@{x}=-\frac{\ln@{x-1}}{2\EulerGamma@{\nu+1}}+\frac{\frac{1}{2}\ln@@{2}-\EulerConstant-\digamma@{\nu+1}}{\EulerGamma@{\nu+1}}+\bigO@{x-1},}

0 references

DLMF id

DLMF:14.8.E9

0 references

constraint

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu\neq-1,-2,-3,\dots}

0 references

Symbols used

order not exceeding

test

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

xml-id

C2.S1.E3.m2aadec

0 references

gamma function

test

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

xml-id

C5.S2.E1.m2afdec

0 references

Euler’s constant

test

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

xml-id

C5.S2.E3.m2aadec

0 references

psi (or digamma) function

test

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

xml-id

C5.S2.E2.m2aadec

0 references

principal branch of logarithm function

test

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

xml-id

C4.S2.E2.m2aadec

0 references

Q11597

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \assLegendreOlverQ[]{\NVar{\nu}}@{\NVar{z}}=\assLegendreOlverQ[0]{\nu}@{z}}

xml-id

C14.S2.SS2.p2.m6adec

0 references

Q11589

test

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

xml-id

C14.S1.XMD1.m1hdec

0 references

Q11590

test

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