ESF - The Encyclopedia of Special Functions

About Equation HCS.2.2.2.4

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$\begin{equation*} \begin{split} u (2 n)& =\frac{1}{\Gamma (2 n + 1)} \end{split} \end{equation*}$

$\begin{equation*} \begin{split} u (2 n + 1)& =0 \end{split} \end{equation*}$

Absolute reference: HCS:asympt:0:RDLBLRDGENFORMRDCLOSED

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u (2 n) = \frac{1}{\Gamma (2 n + 1)}

u (2 n + 1) = 0

Maple encoding

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u(2*n) = 1/GAMMA(2*n+1)

u(2*n+1) = 0

<math xmlns='http://www.w3.org/1998/Math/MathML'><semantics><mrow xref='id8'><mrow xref='id5'><mi xref='id1'>u</mi><mo>⁡</mo><mfenced><mrow xref='id4'><mn xref='id2'>2</mn><mo>⁢</mo><mi xref='id3'>n</mi></mrow></mfenced></mrow><mo>=</mo><mrow xref='id7'><mfrac><mn xref='id6'>1</mn><mrow xref='id7'><mi>Γ</mi><mo>⁡</mo><mfenced><mrow xref='id6'><mrow xref='id4'><mn xref='id2'>2</mn><mo>⁢</mo><mi xref='id3'>n</mi></mrow><mo>+</mo><mn xref='id5'>1</mn></mrow></mfenced></mrow></mfrac></mrow></mrow><annotation-xml encoding='MathML-Content'><apply id='id8'><eq/><apply id='id5'><ci id='id1'>u</ci><apply id='id4'><times/><cn id='id2' type='integer'>2</cn><ci id='id3'>n</ci></apply></apply><apply id='id7'><divide/><cn id='id6' type='integer'>1</cn><apply id='id7'><csymbol id='id1' definitionURL='http://www.maplesoft.com/MathML/GAMMA'>GAMMA</csymbol><apply id='id6'><plus/><apply id='id4'><times/><cn id='id2' type='integer'>2</cn><ci id='id3'>n</ci></apply><cn id='id5' type='integer'>1</cn></apply></apply></apply></apply></annotation-xml><annotation encoding='Maple'>u(2*n) = 1/GAMMA(2*n+1)</annotation></semantics></math>

About Equation HCS.2.2.2.4

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