DLMF:11.2.E9

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Formula:4621


MaRDI QIDQ4621

  • Label: DLMF:11.2.E9


Digital Library of Mathematical Functions ID 11.2.E9

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[2]{w}{z}+\frac{1}{z}\deriv{w}{z}-\left(1+\frac{\nu^{2}}{z^{2}}\right)w=\frac{(\tfrac{1}{2}z)^{\nu-1}}{\sqrt{\pi}\EulerGamma@{\nu+\tfrac{1}{2}}}.}


Constraint(s)

Symbols List

  • Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • Failed to parse (LaTeXML (experimental; uses MathML) timeout from "http://latexml:8080/convert/".): {\displaystyle \cpi} : the ratio of the circumference of a circle to its diameter
  • Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{\NVar{f}}{\NVar{x}}} : derivative of $$f$$ with respect to $$x$$
  • Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z} : complex variable
  • Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu} : real or complex order
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