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 relationResults 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:

Lehmer (1949) which uses a

recurrence relation of the form

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 relationcan be obtained from the forward

recurrence relation, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].

The Perrinn sequence is a sequence whose terms satisfy the

recurrence relationwhich 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)}.