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Topic: Difference operator


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 math lessons - Empty product
Some examples of the use of the empty product in mathematics may be found at the following pages: binomial theorem, factorial, fundamental theorem of arithmetic, birthday paradox, Stirling number, König's theorem, binomial type, difference operator, Pochhammer symbol, product (category theory), proof that e is irrational, prime factor, binomial series, multiset.
More generally, given an operation of multiplication on some collection of objects, the empty product is the result of multiplying no objects together.
It is generally defined to be the identity element with respect to the given operation, if such exists.
www.mathdaily.com /lessons/Empty_product   (970 words)

  
 Difference Operator
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 Bibliography for MCS Division
"Oscillatory Second-order Linear Difference Equations and Riccati Equations",
"Extremals in Landau's Inequality for the Difference Operator",
"Landau's Inequality for the Differential and Difference Operators, General Inequalities V",
www-unix.mcs.anl.gov /~pieper/abs00.html   (1688 words)

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