@@ Property / Symbols used @@
+Q12283
@@ Property / Symbols used: Q12283 / rank @@
+Normal rank
@@ Property / Symbols used: Q12283 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{ce}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}$ 
\Mathieuce{\NVar{n}}@{\NVar{z}}{\NVar{q}}
@@ Property / Symbols used: Q12283 / qualifier @@
+xml-id: C28.S2.SS6.p1.m7acdec
@@ Property / Symbols used @@
+the ratio of the circumference of a circle to its diameter
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\pi}}$ 
\cpi
+xml-id: C3.S12.E1.m2acdec
@@ Property / Symbols used @@
+hyperbolic cotangent function
@@ Property / Symbols used: hyperbolic cotangent function / rank @@
+Normal rank
@@ Property / Symbols used: hyperbolic cotangent function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\coth\NVar{z}}}$ 
\coth@@{\NVar{z}}
@@ Property / Symbols used: hyperbolic cotangent function / qualifier @@
+xml-id: C4.S28.E7.m2aadec
@@ Property / Symbols used @@
+hyperbolic sine function
@@ Property / Symbols used: hyperbolic sine function / rank @@
+Normal rank
@@ Property / Symbols used: hyperbolic sine function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\sinh\NVar{z}}}$ 
\sinh@@{\NVar{z}}
@@ Property / Symbols used: hyperbolic sine function / qualifier @@
+xml-id: C4.S28.E1.m2acdec
@@ Property / Symbols used @@
+radial Mathieu function
@@ Property / Symbols used: radial Mathieu function / rank @@
+Normal rank
@@ Property / Symbols used: radial Mathieu function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle{\mathrm{Mc}^{(\NVar{j})}_{\NVar{n}}}\left(\NVar{z% },\NVar{h}\right)}}$ 
\radMathieuMc{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{h}}
@@ Property / Symbols used: radial Mathieu function / qualifier @@
+xml-id: C28.S20.E15.m2acdec
@@ Property / Symbols used @@
+Q12284
@@ Property / Symbols used: Q12284 / rank @@
+Normal rank
@@ Property / Symbols used: Q12284 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle m}}$ 
m
@@ Property / Symbols used: Q12284 / qualifier @@
+xml-id: C28.S1.XMD1.m1cdec
@@ Property / Symbols used @@
+Q12294
@@ Property / Symbols used: Q12294 / rank @@
+Normal rank
@@ Property / Symbols used: Q12294 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle h}}$ 
h
@@ Property / Symbols used: Q12294 / qualifier @@
+xml-id: C28.S1.XMD11.m1gdec
@@ Property / Symbols used @@
+Q12291
@@ Property / Symbols used: Q12291 / rank @@
+Normal rank
@@ Property / Symbols used: Q12291 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle j}}$ 
j
@@ Property / Symbols used: Q12291 / qualifier @@
+xml-id: C28.S1.XMD3.m1hdec
@@ Property / Symbols used @@
+Q12272
@@ Property / Symbols used: Q12272 / rank @@
+Normal rank
@@ Property / Symbols used: Q12272 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q12272 / qualifier @@
+xml-id: C28.S1.XMD6.m1gdec
@@ Property / Symbols used @@
+Q12304
@@ Property / Symbols used: Q12304 / rank @@
+Normal rank
@@ Property / Symbols used: Q12304 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathcal{C}_{\mu}^{(j)}}}$ 
\mathcal{C}_{\mu}^{(j)}
@@ Property / Symbols used: Q12304 / qualifier @@
+xml-id: C28.S23.XMD1.m1hdec
@@ Property / Symbols used @@
+Q12287
@@ Property / Symbols used: Q12287 / rank @@
+Normal rank
@@ Property / Symbols used: Q12287 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle A_{m}(q)}}$ 
A_{m}(q)
@@ Property / Symbols used: Q12287 / qualifier @@
+xml-id: C28.S4.XMD1.m1cdec

DLMF:28.23.E9 (Q8393): Difference between revisions

ce n ⁡ ( z , q ) Mathieu-ce 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{ce}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}

π {\displaystyle{\displaystyle\pi}}

coth ⁡ z hyperbolic-cotangent 𝑧 {\displaystyle{\displaystyle\coth\NVar{z}}}

sinh ⁡ z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}}

Mc n ( j ) ⁡ ( z , h ) modified-Mathieu-Mc 𝑗 𝑛 𝑧 ℎ {\displaystyle{\displaystyle{\mathrm{Mc}^{(\NVar{j})}_{\NVar{n}}}\left(\NVar{z% },\NVar{h}\right)}}

m 𝑚 {\displaystyle{\displaystyle m}}

h ℎ {\displaystyle{\displaystyle h}}

j 𝑗 {\displaystyle{\displaystyle j}}

z 𝑧 {\displaystyle{\displaystyle z}}

𝒞 μ ( j ) superscript subscript 𝒞 𝜇 𝑗 {\displaystyle{\displaystyle\mathcal{C}_{\mu}^{(j)}}}

A m ⁢ ( q ) subscript 𝐴 𝑚 𝑞 {\displaystyle{\displaystyle A_{m}(q)}}

Latest revision as of 15:09, 2 January 2020

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${\displaystyle{\displaystyle\mathrm{ce}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}$

${\displaystyle{\displaystyle\pi}}$

${\displaystyle{\displaystyle\coth\NVar{z}}}$

${\displaystyle{\displaystyle\sinh\NVar{z}}}$

${\displaystyle{\displaystyle{\mathrm{Mc}^{(\NVar{j})}_{\NVar{n}}}\left(\NVar{z% },\NVar{h}\right)}}$

${\displaystyle{\displaystyle m}}$

${\displaystyle{\displaystyle h}}$

${\displaystyle{\displaystyle j}}$

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle\mathcal{C}_{\mu}^{(j)}}}$

${\displaystyle{\displaystyle A_{m}(q)}}$