Formula:8500

Digital Library of Mathematical Functions ID 26.6.E5

${\displaystyle{\displaystyle\sum_{m,n=0}^{\infty}D(m,n)x^{m}y^{n}=\frac{1}{1-x-y-xy},}}$

Symbols List

• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle D(m,n)}}$: Delannoy number (locally)
• ${\displaystyle{\displaystyle x}}$: small
• ${\displaystyle{\displaystyle y}}$: small
 

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