@@ Property / Symbols used @@
+gamma function
@@ Property / Symbols used: gamma function / rank @@
+Normal rank
@@ Property / Symbols used: gamma function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$ 
\EulerGamma@{\NVar{z}}
@@ Property / Symbols used: gamma function / qualifier @@
+xml-id: C5.S2.E1.m2adec
@@ 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.m2aadec
@@ Property / Symbols used @@
+Q12418
@@ Property / Symbols used: Q12418 / rank @@
+Normal rank
@@ Property / Symbols used: Q12418 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathsf{Ps}^{\NVar{m}}_{\NVar{n}}\left(\NVar{x},% \NVar{\gamma^{2}}\right)}}$ 
\sphwavePsreal{\NVar{m}}{\NVar{n}}@{\NVar{x}}{\NVar{\gamma^{2}}}
@@ Property / Symbols used: Q12418 / qualifier @@
+xml-id: C30.S4.SS1.m1adec
@@ Property / Symbols used @@
+Q12408
@@ Property / Symbols used: Q12408 / rank @@
+Normal rank
@@ Property / Symbols used: Q12408 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle m}}$ 
m
@@ Property / Symbols used: Q12408 / qualifier @@
+xml-id: C30.S1.XMD4.m1gdec
@@ Property / Symbols used @@
+Q12409
@@ Property / Symbols used: Q12409 / rank @@
+Normal rank
@@ Property / Symbols used: Q12409 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n\geq m}}$ 
n\geq m
@@ Property / Symbols used: Q12409 / qualifier @@
+xml-id: C30.S1.XMD5.m1kdec
@@ Property / Symbols used @@
+DLMF:30.11.E4
@@ Property / Symbols used: DLMF:30.11.E4 / rank @@
+Normal rank
@@ Property / Symbols used: DLMF:30.11.E4 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle A_{n}^{m}(\gamma^{2})}}$ 
A_{n}^{m}(\gamma^{2})
@@ Property / Symbols used: DLMF:30.11.E4 / qualifier @@
+xml-id: C30.S11.XMD5.m1cdec
@@ Property / Symbols used @@
+Q12434
@@ Property / Symbols used: Q12434 / rank @@
+Normal rank
@@ Property / Symbols used: Q12434 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle K_{n}^{m}(\gamma)}}$ 
K_{n}^{m}(\gamma)
@@ Property / Symbols used: Q12434 / qualifier @@
+xml-id: C30.S11.XMD6.m1bdec
@@ Property / Symbols used @@
+Q12404
@@ Property / Symbols used: Q12404 / rank @@
+Normal rank
@@ Property / Symbols used: Q12404 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\gamma^{2}}}$ 
\gamma^{2}
@@ Property / Symbols used: Q12404 / qualifier @@
+xml-id: C30.S2.XMD3.m1gdec
@@ Property / Symbols used @@
+coefficients (locally)
@@ Property / Symbols used: coefficients (locally) / rank @@
+Normal rank
@@ Property / Symbols used: coefficients (locally) / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle a^{m}_{n,k}(\gamma^{2})}}$ 
a^{m}_{n,k}(\gamma^{2})
@@ Property / Symbols used: coefficients (locally) / qualifier @@
+xml-id: C30.S8.XMD2.m1bdec

DLMF:30.11.E10 (Q8905): Difference between revisions

Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

π {\displaystyle{\displaystyle\pi}}

𝖯𝗌 n m ⁡ ( x , γ 2 ) spheroidal-wave-on-cut-Ps 𝑚 𝑛 𝑥 superscript 𝛾 2 {\displaystyle{\displaystyle\mathsf{Ps}^{\NVar{m}}_{\NVar{n}}\left(\NVar{x},% \NVar{\gamma^{2}}\right)}}

m 𝑚 {\displaystyle{\displaystyle m}}

n ≥ m 𝑛 𝑚 {\displaystyle{\displaystyle n\geq m}}

A n m ⁢ ( γ 2 ) superscript subscript 𝐴 𝑛 𝑚 superscript 𝛾 2 {\displaystyle{\displaystyle A_{n}^{m}(\gamma^{2})}}

K n m ⁢ ( γ ) superscript subscript 𝐾 𝑛 𝑚 𝛾 {\displaystyle{\displaystyle K_{n}^{m}(\gamma)}}

γ 2 superscript 𝛾 2 {\displaystyle{\displaystyle\gamma^{2}}}

a n , k m ⁢ ( γ 2 ) subscript superscript 𝑎 𝑚 𝑛 𝑘 superscript 𝛾 2 {\displaystyle{\displaystyle a^{m}_{n,k}(\gamma^{2})}}

Latest revision as of 01:49, 2 January 2020

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${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$

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

${\displaystyle{\displaystyle\mathsf{Ps}^{\NVar{m}}_{\NVar{n}}\left(\NVar{x},% \NVar{\gamma^{2}}\right)}}$

${\displaystyle{\displaystyle m}}$

${\displaystyle{\displaystyle n\geq m}}$

${\displaystyle{\displaystyle A_{n}^{m}(\gamma^{2})}}$

${\displaystyle{\displaystyle K_{n}^{m}(\gamma)}}$

${\displaystyle{\displaystyle\gamma^{2}}}$

${\displaystyle{\displaystyle a^{m}_{n,k}(\gamma^{2})}}$