DLMF:19.16.E9 (Q6324): Difference between revisions

From DRMF

Jump to navigation Jump to search

← Older edit Newer edit →

Revision as of 13:52, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:19.16.E9	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle R_{-a}\left(\mathbf{b};\mathbf{z}\right)=\frac{1}% {\mathrm{B}\left(a,a^{\prime}\right)}\int_{0}^{\infty}t^{a^{\prime}-1}\prod^{n% }_{j=1}(t+z_{j})^{-b_{j}}\mathrm{d}t=\frac{1}{\mathrm{B}\left(a,a^{\prime}% \right)}\int_{0}^{\infty}t^{a-1}\prod^{n}_{j=1}(1+tz_{j})^{-b_{j}}\mathrm{d}t,}}

0 references

DLMF:19.16.E9

0 references

Symbols defined

multivariate hypergeometric function

0 references

{\displaystyle{\displaystyle b_{j}\in\mathbb{R}}}

0 references

{\displaystyle{\displaystyle z_{j}\in\mathbb{C}\setminus(-\infty,0]}}

0 references

{\displaystyle{\displaystyle b_{1}+\cdots+b_{n}>a>0}}

0 references

{\displaystyle{\displaystyle b_{j}\in\mathbb{R}}}

0 references

{\displaystyle{\displaystyle z_{j}\in\mathbb{C}\setminus(-\infty,0]}}

0 references

Defining formula

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

C5.S12.E1.m2adec

0 references

Defining formula

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

introduction.Sx4.p1.t1.r1.m2adec

0 references

Defining formula

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

C1.S4.SS4.m1aedec

0 references

Defining formula

{\displaystyle{\displaystyle\in}}

introduction.Sx4.p1.t1.r10.m2adec

0 references

Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aedec

0 references

Defining formula

{\displaystyle{\displaystyle(\NVar{a},\NVar{b}]}}

introduction.Sx4.p2.t1.r1.m3adec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q6324&oldid=41029"