DLMF:12.9.E3 (Q4152): Difference between revisions
Jump to navigation
Jump to search
Created a new Item: Wikidata Toolkit example test item creation |
Changed an Item: Add constraint |
||
(13 intermediate revisions by the same user not shown) | |||
Property / constraint | |||
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tfrac{1}{4}\pi+\delta\leq\pm\phase@@{z}\leq\tfrac{5}{4}\pi-\delta}\tfrac{1}{4}\pi+\delta\leq\pm\phase@@{z}\leq\tfrac{5}{4}\pi-\delta | |||
Property / constraint: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tfrac{1}{4}\pi+\delta\leq\pm\phase@@{z}\leq\tfrac{5}{4}\pi-\delta} / rank | |||
Normal rank | |||
Property / Symbols used | |||
Property / Symbols used: gamma function / rank | |||
Normal rank | |||
Property / Symbols used: gamma function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}\EulerGamma@{\NVar{z}} | |||
Property / Symbols used: gamma function / qualifier | |||
xml-id: C5.S2.E1.m2adec | |||
Property / Symbols used | |||
Property / Symbols used: Q10759 / rank | |||
Normal rank | |||
Property / Symbols used: Q10759 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Pochhammersym{\NVar{a}}{\NVar{n}}}\Pochhammersym{\NVar{a}}{\NVar{n}} | |||
Property / Symbols used: Q10759 / qualifier | |||
xml-id: C5.S2.SS3.m1abdec | |||
Property / Symbols used | |||
Property / Symbols used: Q10931 / rank | |||
Normal rank | |||
Property / Symbols used: Q10931 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asympexp}\asympexp | |||
Property / Symbols used: Q10931 / qualifier | |||
xml-id: C2.S1.SS3.p1.m11abdec | |||
Property / Symbols used | |||
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank | |||
Normal rank | |||
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}\cpi | |||
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier | |||
xml-id: C3.S12.E1.m2abdec | |||
Property / Symbols used | |||
Property / Symbols used: base of natural logarithm / rank | |||
Normal rank | |||
Property / Symbols used: base of natural logarithm / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}\expe | |||
Property / Symbols used: base of natural logarithm / qualifier | |||
xml-id: C4.S2.E11.m2abdec | |||
Property / Symbols used | |||
Property / Symbols used: Q10755 / rank | |||
Normal rank | |||
Property / Symbols used: Q10755 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !}! | |||
Property / Symbols used: Q10755 / qualifier | |||
xml-id: introduction.Sx4.p1.t1.r15.m5abdec | |||
Property / Symbols used | |||
Property / Symbols used: imaginary unit / rank | |||
Normal rank | |||
Property / Symbols used: imaginary unit / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}\iunit | |||
Property / Symbols used: imaginary unit / qualifier | |||
xml-id: C1.S9.E1.m2adec | |||
Property / Symbols used | |||
Property / Symbols used: Q11320 / rank | |||
Normal rank | |||
Property / Symbols used: Q11320 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \paraU@{\NVar{a}}{\NVar{z}}}\paraU@{\NVar{a}}{\NVar{z}} | |||
Property / Symbols used: Q11320 / qualifier | |||
xml-id: C12.S2.SS1.p1.m1aadec | |||
Property / Symbols used | |||
Property / Symbols used: Q10817 / rank | |||
Normal rank | |||
Property / Symbols used: Q10817 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phase}\phase | |||
Property / Symbols used: Q10817 / qualifier | |||
xml-id: C1.S9.E7.m1abdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11513 / rank | |||
Normal rank | |||
Property / Symbols used: Q11513 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
Property / Symbols used: Q11513 / qualifier | |||
xml-id: C12.S1.XMD3.m1bdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11526 / rank | |||
Normal rank | |||
Property / Symbols used: Q11526 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle s}s | |||
Property / Symbols used: Q11526 / qualifier | |||
xml-id: C12.S1.XMD5.m1bdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11516 / rank | |||
Normal rank | |||
Property / Symbols used: Q11516 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}a | |||
Property / Symbols used: Q11516 / qualifier | |||
xml-id: C12.S1.XMD6.m1bdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11527 / rank | |||
Normal rank | |||
Property / Symbols used: Q11527 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \delta}\delta | |||
Property / Symbols used: Q11527 / qualifier | |||
xml-id: C12.S1.XMD8.m1bdec |
Latest revision as of 15:16, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:12.9.E3 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \paraU@{a}{z}\asympexp e^{-\frac{1}{4}z^{2}}z^{-a-\frac{1}{2}}\sum_{s=0}^{\infty}(-1)^{s}\frac{\Pochhammersym{\frac{1}{2}+a}{2s}}{s!(2z^{2})^{s}}\pm i\frac{\sqrt{2\pi}}{\EulerGamma@{\tfrac{1}{2}+a}}e^{\mp i\pi a}e^{\frac{1}{4}z^{2}}z^{a-\frac{1}{2}}\sum_{s=0}^{\infty}\frac{\Pochhammersym{\tfrac{1}{2}-a}{2s}}{s!(2z^{2})^{s}},}
0 references
DLMF:12.9.E3
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tfrac{1}{4}\pi+\delta\leq\pm\phase@@{z}\leq\tfrac{5}{4}\pi-\delta}
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
C5.S2.E1.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Pochhammersym{\NVar{a}}{\NVar{n}}}
C5.S2.SS3.m1abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asympexp}
C2.S1.SS3.p1.m11abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !}
introduction.Sx4.p1.t1.r15.m5abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
C1.S9.E1.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \paraU@{\NVar{a}}{\NVar{z}}}
C12.S2.SS1.p1.m1aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phase}
C1.S9.E7.m1abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C12.S1.XMD3.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle s}
C12.S1.XMD5.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}
C12.S1.XMD6.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \delta}
C12.S1.XMD8.m1bdec
0 references