Sentence examples for recursive sequence from inspiring English sources

Let { u n } be a higher-order recursive sequence.

Yang et al. [7] investigated the qualitative behavior of the recursive sequence (1.2).

■ Step 4: A recursive sequence generation method is proposed by A n+1=A n V n W n.

The control law design consists of solving a recursive sequence of linear hyperbolic PDEs for the gain kernels of the spatial Volterra nonlinear control operator.

The control law design consists of solving a recursive sequence of linear hyperbolyc PDEs for the gain kernels of the spatial Volterra nonlinear control operator.

Some other results related to recursive sequence, recursive polynomial and their promotion forms can also be found in [8 15], here no longer list them one by one.

For some other results related to recursive sequences, recursive polynomials, and their promotion forms, see [5 13] and references therein.

Several identities are obtained for the infinite sums and finite sums of the reciprocals of higher-order recursive sequences.

From the properties of m th-order linear recursive sequences, u n can be expressed as follows: u n = c α n + ∑ i = 1 t P i ( n ) α i n, (7).

Zayed and El-Moneam [11, 12] studied the behavior of the following rational recursive sequences x n + 1 = a x n - b x n c x n - d x n - k, x n + 1 = α + β x n + γ x n - 1 A + B x n + C x n - 1.

For any positive integer a 1, a 2, …, a m, we define m th-order linear recursive sequences { u n } for n > m as follows: u n = a 1 u n − 1 + a 2 u n − 2 + ⋯ + a m − 1 u n − m + 1 + a m u n − m, (1).