forward
(0.001 seconds)
11—20 of 22 matching pages
11: 2.9 Difference Equations
12: 18.26 Wilson Class: Continued
…
►For comments on the use of the forward-difference operator , the backward-difference operator , and the central-difference operator , see §18.2(ii).
…
►
18.26.16
►
18.26.17
…
13: 26.8 Set Partitions: Stirling Numbers
14: Mathematical Introduction
15: 3.2 Linear Algebra
…
►With the process of solution can then be regarded as first solving the equation for (forward
elimination), followed by the solution of for (back substitution).
…
►In solving , we obtain by forward elimination , and by back substitution .
…
►Forward elimination for solving then becomes ,
…
16: 18.19 Hahn Class: Definitions
…
►
1.
►
2.
…
Hahn class (or linear lattice class). These are OP’s where the role of is played by or or (see §18.1(i) for the definition of these operators). The Hahn class consists of four discrete and two continuous families.
Wilson class (or quadratic lattice class). These are OP’s ( of degree in , quadratic in ) where the role of the differentiation operator is played by or or . The Wilson class consists of two discrete and two continuous families.
17: 18.20 Hahn Class: Explicit Representations
…
►For comments on the use of the forward-difference operator , the backward-difference operator , and the central-difference operator , see §18.2(ii).
…
18: 30.8 Expansions in Series of Ferrers Functions
…
►For they are determined from (30.8.4) by forward recursion using .
…It should be noted that if the forward recursion (30.8.4) beginning with , leads to , then is undefined for and does not exist.
…
19: 18.25 Wilson Class: Definitions
…
►For the Wilson class OP’s with : if the -orthogonality set is , then the role of the differentiation operator in the Jacobi, Laguerre, and Hermite cases is played by the operator followed by division by , or by the operator followed by division by .
…