DLMF:2.10.E22 (Q1009)

From DRMF

Revision as of 17:35, 1 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:2.10.E22	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{j=0}^{n-1}\frac{x^{j}}{(j!)^{3}}=\int_{-1/2}% ^{n-(1/2)}\frac{x^{t}}{(\Gamma\left(t+1\right))^{3}}\mathrm{d}t-\int_{\mathscr% {C}_{1}}\frac{x^{t}}{(\Gamma\left(t+1\right))^{3}}\frac{\mathrm{d}t}{e^{-2\pi it% }-1}+\int_{\mathscr{C}_{2}}\frac{x^{t}}{(\Gamma\left(t+1\right))^{3}}\frac{% \mathrm{d}t}{e^{2\pi it}-1},}}

0 references

DLMF:2.10.E22

0 references

Defining formula

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

C5.S2.E1.m2aadec

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.m1addec

0 references

base of natural logarithm

Defining formula

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

C4.S2.E11.m2agdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q1009&oldid=25769"