DLMF:10.43.E30 (Q3644)

No description defined

Language	Label	Description	Also known as
English	DLMF:10.43.E30	No description defined

Statements

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle f(y)=\frac{2y}{\pi^{2}}\sinh@{\pi y}\int_{0}^{\infty}\frac{g(x)}{x}\modBesselK{iy}@{x}\diff{x}.}

0 references

DLMF id

DLMF:10.43.E30

0 references

Symbols defined

Kontorovich–Lebedev transform of $$g(x)$$ (locally)

0 references

Symbols used

the ratio of the circumference of a circle to its diameter

test

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

xml-id

C3.S12.E1.m2ahdec

0 references

Q10770

test

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

xml-id

C1.S4.SS4.m1aydec

0 references

hyperbolic sine function

test

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

xml-id

C4.S28.E1.m2adec

0 references

imaginary unit

test

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

xml-id

C1.S9.E1.m2adec

0 references

Q10771

test

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

xml-id

C1.S4.SS4.m3aydec

0 references

modified Bessel function of the second kind

test

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

xml-id

C10.S25.E3.m2aodec

0 references

Q11435

test

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

xml-id

C10.S1.XMD4.m1mdec

0 references

Q11472

test

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