@@ Property / Symbols defined @@
+Jacobi function of matrix argument
@@ Property / Symbols defined: Jacobi function of matrix argument / rank @@
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\gamma,\delta,\nu\in\mathbb{C}}}$ 
\gamma,\delta,\nu\in\Complexes
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\Re(\gamma)>-1}}$ 
\realpart@@{(\gamma)}>-1
@@ Property / constraint: ${\displaystyle{\displaystyle\Re(\gamma)>-1}}$ / rank @@
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\boldsymbol{{0}}<\mathbf{T}<\mathbf{I}}}$ 
\boldsymbol{{0}}<\mathbf{T}<\mathbf{I}
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\gamma,\delta,\nu\in\mathbb{C}}}$ 
\gamma,\delta,\nu\in\mathbb{C}
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\Re(\gamma)>-1}}$ 
\Re(\gamma)>-1
@@ Property / constraint: ${\displaystyle{\displaystyle\Re(\gamma)>-1}}$ / rank @@
+Normal rank
@@ Property / Symbols used @@
+generalized hypergeometric function of matrix argument
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{\mathbf{T}}\right)}}$ 
\genhyperFmat{\NVar{p}}{\NVar{q}}@{\NVar{a_{1},\dots,a_{p}}}{\NVar{b_{1},\dots,b_{q}}}{\NVar{\mathbf{T}}}
+xml-id: C35.S8.E1.m2aadec
@@ Property / Symbols used @@
+Q10923
@@ Property / Symbols used: Q10923 / rank @@
+Normal rank
@@ Property / Symbols used: Q10923 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathbb{C}}}$ 
\Complexes
@@ Property / Symbols used: Q10923 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r1.m2adec
@@ Property / Symbols used @@
+Q10784
@@ Property / Symbols used: Q10784 / rank @@
+Normal rank
@@ Property / Symbols used: Q10784 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\in}}$ 
\in
@@ Property / Symbols used: Q10784 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r10.m2adec
@@ Property / Symbols used @@
+Q12725
@@ Property / Symbols used: Q12725 / rank @@
+Normal rank
@@ Property / Symbols used: Q12725 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Gamma_{\NVar{m}}\left(\NVar{a}\right)}}$ 
\multivarEulerGamma{\NVar{m}}@{\NVar{a}}
@@ Property / Symbols used: Q12725 / qualifier @@
+xml-id: C35.S3.SS1.m1adec
@@ Property / Symbols used @@
+Q10811
@@ Property / Symbols used: Q10811 / rank @@
+Normal rank
@@ Property / Symbols used: Q10811 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Re}}$ 
\realpart@@
@@ Property / Symbols used: Q10811 / qualifier @@
+xml-id: C1.S9.E2.m1adec
@@ Property / Symbols used @@
+Q12724
@@ Property / Symbols used: Q12724 / rank @@
+Normal rank
@@ Property / Symbols used: Q12724 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathbf{T}}}$ 
\mathbf{T}
@@ Property / Symbols used: Q12724 / qualifier @@
+xml-id: C35.S1.XMD11.m1adec
@@ Property / Symbols used @@
+Q12723
@@ Property / Symbols used: Q12723 / rank @@
+Normal rank
@@ Property / Symbols used: Q12723 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle m}}$ 
m
@@ Property / Symbols used: Q12723 / qualifier @@
+xml-id: C35.S1.XMD8.m1adec

DLMF:35.7.E2 (Q9813): Difference between revisions

γ , δ , ν ∈ ℂ 𝛾 𝛿 𝜈 {\displaystyle{\displaystyle\gamma,\delta,\nu\in\mathbb{C}}}

ℜ ⁡ ( γ ) > - 1 𝛾 1 {\displaystyle{\displaystyle\Re(\gamma)>-1}}

𝟎 < 𝐓 < 𝐈 0 𝐓 𝐈 {\displaystyle{\displaystyle\boldsymbol{{0}}<\mathbf{T}<\mathbf{I}}}

γ , δ , ν ∈ ℂ 𝛾 𝛿 𝜈 ℂ {\displaystyle{\displaystyle\gamma,\delta,\nu\in\mathbb{C}}}

ℜ ⁡ ( γ ) > - 1 𝛾 1 {\displaystyle{\displaystyle\Re(\gamma)>-1}}

ℂ {\displaystyle{\displaystyle\mathbb{C}}}

∈ {\displaystyle{\displaystyle\in}}

Γ m ⁡ ( a ) multivariate-Euler-Gamma 𝑚 𝑎 {\displaystyle{\displaystyle\Gamma_{\NVar{m}}\left(\NVar{a}\right)}}

ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}

𝐓 𝐓 {\displaystyle{\displaystyle\mathbf{T}}}

m 𝑚 {\displaystyle{\displaystyle m}}

Latest revision as of 14:57, 2 January 2020

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${\displaystyle{\displaystyle\gamma,\delta,\nu\in\mathbb{C}}}$

${\displaystyle{\displaystyle\Re(\gamma)>-1}}$

${\displaystyle{\displaystyle\boldsymbol{{0}}<\mathbf{T}<\mathbf{I}}}$

${\displaystyle{\displaystyle\gamma,\delta,\nu\in\mathbb{C}}}$

${\displaystyle{\displaystyle\Re(\gamma)>-1}}$

${\displaystyle{\displaystyle\mathbb{C}}}$

${\displaystyle{\displaystyle\in}}$

${\displaystyle{\displaystyle\Gamma_{\NVar{m}}\left(\NVar{a}\right)}}$

${\displaystyle{\displaystyle\Re}}$

${\displaystyle{\displaystyle\mathbf{T}}}$

${\displaystyle{\displaystyle m}}$