recurrence relation


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recurrence relation

[ri′kər·əns ri‚lā·shən]
(mathematics)
An equation relating a term in a sequence to one or more of its predecessors in the sequence.
References in periodicals archive ?
3), the coefficients of the three-term recurrence relation subject to the weight function [([[pi].
The sequence of Lucas polynomials is a sequence of polynomials defined by the recurrence relation
Results for order statistics and lower record values are deduced as special cases and a characterization of extended type I generalized logistic distribution has been obtained on using conditional expectation and recurrence relation for marginal moment generating functions.
We consider a linear homogeneous recurrence relation with constant coefficients
If considering the gear contact load, one determines the recurrence relation that defines the link between the gear ratios on two consecutive gear steps:
For example, the simplest recurrence relation is Ref.
Now using Legendre's duplication formula and recurrence relation for Gamma function, the above formula can be written in the form
If Q is of period 1, then there is a single recurrence relation
can be obtained from the forward recurrence relation, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
The Perrinn sequence is a sequence whose terms satisfy the recurrence relation
which can be considered as the recurrence relation for a special case of the Meixner-Pollaczek polynomials (see [13, 14]), and one may notice that the sequence [{[GAMMA] (b + n)}.