delta operator
(0.002 seconds)
1—10 of 43 matching pages
1: 18.20 Hahn Class: Explicit Representations
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►For comments on the use of the forward-difference operator
, the backward-difference operator
, and the central-difference operator
, see §18.2(ii).
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2: 18.25 Wilson Class: Definitions
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►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 .
Alternatively if the -orthogonality interval is , then the role of is played by the operator
followed by division by .
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3: 18.26 Wilson Class: Continued
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►For comments on the use of the forward-difference operator
, the backward-difference operator
, and the central-difference operator
, see §18.2(ii).
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►
18.26.16
►
18.26.17
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4: 3.6 Linear Difference Equations
5: Mathematical Introduction
6: 18.2 General Orthogonal Polynomials
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►If the orthogonality discrete set is or , then the role of the differentiation operator
in the case of classical OP’s (§18.3) is played by , the forward-difference operator, or by , the backward-difference operator; compare §18.1(i).
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►If the orthogonality interval is or , then the role of can be played by , the central-difference operator in the imaginary direction (§18.1(i)).
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►The operator
is a delta operator, i.
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