DLMF:13.4.E9 (Q4372)

From DRMF

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:13.4.E9	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{\mathbf{M}}\left(a,b,z\right)=\frac{\Gamma\left(1% +a-b\right)}{2\pi\mathrm{i}\Gamma\left(a\right)}\int_{0}^{(1+)}e^{zt}t^{a-1}{(% t-1)^{b-a-1}}\mathrm{d}t,}}

0 references

DLMF:13.4.E9

0 references

{\displaystyle{\displaystyle\Re a>0}}

0 references

{\displaystyle{\displaystyle b-a\neq 1,2,3,\dots}}

0 references

{\displaystyle{\displaystyle\Re a>0}}

0 references

Defining formula

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

C5.S2.E1.m2agdec

0 references

Olver’s confluent hypergeometric function

Defining formula

{\displaystyle{\displaystyle{\mathbf{M}}\left(\NVar{a},\NVar{b},\NVar{z}\right% )}}

C13.S2.E3.m2addec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2addec

0 references

Defining formula

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

C1.S4.SS4.m1ahdec

0 references

base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2agdec

0 references

Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2adec

0 references

Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3ahdec

0 references

Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1agdec

0 references

Defining formula

{\displaystyle{\displaystyle z}}

C13.S1.XMD6.m1hdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4372&oldid=60898"

Navigation menu