DLMF:28.23.E12 (Q8396): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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(8 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: hyperbolic cosine function / rank | |||
Normal rank | |||
Property / Symbols used: hyperbolic cosine function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@@{\NVar{z}}}\cosh@@{\NVar{z}} | |||
Property / Symbols used: hyperbolic cosine function / qualifier | |||
xml-id: C4.S28.E2.m2aedec | |||
Property / Symbols used | |||
Property / Symbols used: hyperbolic tangent function / rank | |||
Normal rank | |||
Property / Symbols used: hyperbolic tangent function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@@{\NVar{z}}}\tanh@@{\NVar{z}} | |||
Property / Symbols used: hyperbolic tangent function / qualifier | |||
xml-id: C4.S28.E4.m2abdec | |||
Property / Symbols used | |||
Property / Symbols used: radial Mathieu function / rank | |||
Normal rank | |||
Property / Symbols used: radial Mathieu function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \radMathieuMs{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{h}}}\radMathieuMs{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{h}} | |||
Property / Symbols used: radial Mathieu function / qualifier | |||
xml-id: C28.S20.E16.m2abdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12284 / rank | |||
Normal rank | |||
Property / Symbols used: Q12284 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}m | |||
Property / Symbols used: Q12284 / qualifier | |||
xml-id: C28.S1.XMD1.m1fdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12294 / rank | |||
Normal rank | |||
Property / Symbols used: Q12294 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle h}h | |||
Property / Symbols used: Q12294 / qualifier | |||
xml-id: C28.S1.XMD11.m1jdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12291 / rank | |||
Normal rank | |||
Property / Symbols used: Q12291 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle j}j | |||
Property / Symbols used: Q12291 / qualifier | |||
xml-id: C28.S1.XMD3.m1kdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12272 / rank | |||
Normal rank | |||
Property / Symbols used: Q12272 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
Property / Symbols used: Q12272 / qualifier | |||
xml-id: C28.S1.XMD6.m1jdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12304 / rank | |||
Normal rank | |||
Property / Symbols used: Q12304 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathcal{C}_{\mu}^{(j)}}\mathcal{C}_{\mu}^{(j)} | |||
Property / Symbols used: Q12304 / qualifier | |||
xml-id: C28.S23.XMD1.m1kdec | |||
Property / Symbols used | |||
Property / Symbols used: Q12288 / rank | |||
Normal rank | |||
Property / Symbols used: Q12288 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{m}(q)}B_{m}(q) | |||
Property / Symbols used: Q12288 / qualifier | |||
xml-id: C28.S4.XMD2.m1bdec |
Latest revision as of 15:10, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:28.23.E12 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \radMathieuMs{j}{2m+2}@{z}{h}=(-1)^{m}\left(\Mathieuse{2m+2}'@{0}{h^{2}}\right)^{-1}\tanh@@{z}\sum_{\ell=0}^{\infty}(-1)^{\ell}(2\ell+2)B_{2\ell+2}^{2m+2}(h^{2}){\cal C}_{2\ell+2}^{(j)}(2h\cosh@@{z}),}
0 references
DLMF:28.23.E12
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Mathieuse{\NVar{n}}@{\NVar{z}}{\NVar{q}}}
C28.S2.SS6.p1.m8abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@@{\NVar{z}}}
C4.S28.E2.m2aedec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@@{\NVar{z}}}
C4.S28.E4.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \radMathieuMs{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{h}}}
C28.S20.E16.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
C28.S1.XMD1.m1fdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle h}
C28.S1.XMD11.m1jdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle j}
C28.S1.XMD3.m1kdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C28.S1.XMD6.m1jdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathcal{C}_{\mu}^{(j)}}
C28.S23.XMD1.m1kdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{m}(q)}
C28.S4.XMD2.m1bdec
0 references