Formula:43

Digital Library of Mathematical Functions ID 1.3.E14

${\displaystyle{\displaystyle\det\left[\frac{1}{a_{j}-b_{k}}\right]=(-1)^{n(n-1)/2}\*\prod_{1\leq j<k\leq n}(a_{k}-a_{j})(b_{k}-b_{j})\Bigg{/}\prod^{n}_{j,k=1}(a_{j}-b_{k}).}}$

Symbols List

• ${\displaystyle{\displaystyle\det}}$:
• ${\displaystyle{\displaystyle j}}$: integer
• ${\displaystyle{\displaystyle k}}$: integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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