DLMF:10.27.E7 (Q3497)

No description defined

Language	Label	Description	Also known as
English	DLMF:10.27.E7	No description defined

Statements

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \modBesselI{\nu}@{z}=\tfrac{1}{2}e^{\mp\nu\pi i/2}\left(\HankelH{1}{\nu}@{ze^{\pm\pi i/2}}+\HankelH{2}{\nu}@{ze^{\pm\pi i/2}}\right),}

0 references

DLMF id

DLMF:10.27.E7

0 references

constraint

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\pi\leq\pm\phase@@{z}\leq\tfrac{1}{2}\pi}

0 references

Symbols used

Bessel function of the third kind (or Hankel function)

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \HankelH{1}{\NVar{\nu}}@{\NVar{z}}}

xml-id

C10.S2.E5.m2adec

0 references

Bessel function of the third kind (or Hankel function)

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \HankelH{2}{\NVar{\nu}}@{\NVar{z}}}

xml-id

C10.S2.E6.m2adec

0 references

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.m2acdec

0 references

base of natural logarithm

test

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

xml-id

C4.S2.E11.m2aadec

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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.m2aadec

0 references

modified Bessel function of the first kind

test

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

xml-id

C10.S25.E2.m2aedec

0 references

Q10817

test

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

xml-id

C1.S9.E7.m1aadec

0 references

Q11426

test

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