Shiue: On Sequences of Numbers and Polynomials Defined by Linear

Recurrence Relations of Order 2, International Journal of Mathematics and Mathematical Sciences, vol.

16) have established

recurrence relations for marginal and joint moment generating functions of lgos from power function and generalized exponential distributions.

Taking the logarithmic derivative of the four

recurrence relations and plugging in the initial conditions (14) gives the linear system

n] (z; [mu]) satisfy the forward

recurrence relations (see, e.

The research materializes the optimal design approach for the transmission gears of the system by a set of

recurrence relations and the systemic structural analysis mode of the remaining mechanical components.

We spent more time peering out the window than concentrating on

recurrence relations.

Elsewhere, results are stated without proof, such as the form of solutions to various

recurrence relations, and then applied in problem solving.

The

recurrence relations for the special functions (and thus for the associated wave functions) are interesting not only from the theoretical point of view (they are useful for computing the values of matrix elements of certain physical quantities; see, e.

Smarandache LCM ratio sequence, and obtain three interesting

recurrence relations for it.

2] = [+ or -] a and some

recurrence relations are obtained.

Early chapters cover sets, logic, relations, and functions, and later chapters introduce graph theory, analysis of algorithms, combinatorics, discrete probability, and

recurrence relations.

Standard orthogonal polynomials satisfy

recurrence relations of the form