DLMF:35.6.E4 (Q9805)

From DRMF

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:35.6.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{{}_{1}F_{1}}\left({a\atop b};\mathbf{T}\right)=% \frac{1}{\mathrm{B}_{m}\left(a,b-a\right)}\int\limits_{\boldsymbol{{0}}<% \mathbf{X}<\mathbf{I}}\mathrm{etr}\left(\mathbf{T}\mathbf{X}\right)|\mathbf{X}% |^{a-\frac{1}{2}(m+1)}|\mathbf{I}-\mathbf{X}|^{b-a-\frac{1}{2}(m+1)}\mathrm{d}% \mathbf{X},}}

0 references

DLMF:35.6.E4

0 references

{\displaystyle{\displaystyle\Re(a),\Re(b-a)>\frac{1}{2}(m-1)}}

0 references

generalized hypergeometric function of matrix argument

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)}}

C35.S8.E1.m2abdec

0 references

Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1aadec

0 references

Defining formula

{\displaystyle{\displaystyle\mathrm{etr}\left(\NVar{\mathbf{X}}\right)}}

C35.S1.p3.t1.r10.m3aadec

0 references

Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aadec

0 references

multivariate beta function

Defining formula

{\displaystyle{\displaystyle\mathrm{B}_{\NVar{m}}\left(\NVar{a},\NVar{b}\right% )}}

C35.S3.E3.m2adec

0 references

Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1abdec

0 references

Defining formula

{\displaystyle{\displaystyle a}}

C35.S1.XMD1.m1bdec

0 references

Defining formula

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

C35.S1.XMD11.m1cdec

0 references

Defining formula

{\displaystyle{\displaystyle\mathbf{X}}}

C35.S1.XMD12.m1adec

0 references

Defining formula

{\displaystyle{\displaystyle b}}

C35.S1.XMD2.m1bdec

0 references

Defining formula

{\displaystyle{\displaystyle m}}

C35.S1.XMD8.m1bdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q9805&oldid=52217"

Navigation menu