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
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
2] = [+ or -] a and some recurrence relations
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