DLMF:18.23.E3 (Q5904)

From DRMF

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:18.23.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\left(1-\frac{1-p}{p}z\right)^{x}(1+z)^{N-x}=\sum_% {n=0}^{N}\genfrac{(}{)}{0.0pt}{}{N}{n}K_{n}\left(x;p,N\right)z^{n},}}

0 references

DLMF:18.23.E3

0 references

{\displaystyle{\displaystyle x=0,1,\dots,N}}

0 references

Defining formula

{\displaystyle{\displaystyle K_{\NVar{n}}\left(\NVar{x};\NVar{p},\NVar{N}% \right)}}

C18.S19.T1.t1.r3.p1.m2adec

0 references

Defining formula

{\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}

C1.S2.SS1.m1adec

0 references

Defining formula

{\displaystyle{\displaystyle z}}

C18.S1.XMD2.m1bdec

0 references

Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1bdec

0 references

Defining formula

{\displaystyle{\displaystyle N}}

C18.S1.XMD7.m1bdec

0 references

Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1bdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5904&oldid=33417"