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Concept
Ordinary Generating Function
An
ordinary generating function
is a
formal power series
used to encode
sequences of numbers
, providing a powerful tool for solving
combinatorial problems
and
analyzing sequences
. It transforms a
sequence into a function
, allowing
operations on sequences
to be performed algebraically and facilitating the derivation of
closed-form expressions
or
recurrence relations
.
Relevant Degrees
Fundamentals of Mathematics 70%
Probability and Statistics 30%
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