DLMF:8.11.E12 (Q2585)

From DRMF

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:8.11.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\Gamma\left(z,z\right)\sim z^{z-1}e^{-z}\left(% \sqrt{\frac{\pi}{2}}z^{\frac{1}{2}}-\frac{1}{3}+\frac{\sqrt{2\pi}}{24z^{\frac{% 1}{2}}}-\frac{4}{135z}+\frac{\sqrt{2\pi}}{576z^{\frac{3}{2}}}+\frac{8}{2835z^{% 2}}+\dots\right),}}

0 references

DLMF:8.11.E12

0 references

{\displaystyle{\displaystyle|\operatorname{ph}z|\leq 2\pi-\delta}}

0 references

Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.SS3.p1.m11abdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2afdec

0 references

base of natural logarithm

Defining formula

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

C4.S2.E11.m2agdec

0 references

incomplete gamma function

Defining formula

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

C8.S2.E2.m2abdec

0 references

Defining formula

{\displaystyle{\displaystyle\operatorname{ph}}}

C1.S9.E7.m1addec

0 references

Defining formula

{\displaystyle{\displaystyle z}}

C8.S1.XMD2.m1fdec

0 references

Defining formula

{\displaystyle{\displaystyle\delta}}

C8.S1.XMD7.m1ddec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2585&oldid=41516"