difference equations on variable
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1: 18.22 Hahn Class: Recurrence Relations and Differences
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§18.22(ii) Difference Equations in
…2: Mathematical Introduction
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►These include, for example, multivalued functions of complex variables, for which new definitions of branch points and principal values are supplied (§§1.10(vi), 4.2(i)); the Dirac delta (or delta function), which is introduced in a more readily comprehensible way for mathematicians (§1.17); numerically satisfactory solutions of differential and difference equations (§§2.7(iv), 2.9(i)); and numerical analysis for complex variables (Chapter 3).
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3: 9.13 Generalized Airy Functions
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§9.13(i) Generalizations from the Differential Equation
►Equations of the form … ►In Olver (1977a, 1978) a different normalization is used. … ► … ►and the difference equation …4: 18.28 Askey–Wilson Class
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) such that in the Askey–Wilson case, and in the -Racah case, and both are eigenfunctions of a second order -difference operator similar to (18.27.1).
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-Difference Equation
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18.28.6_1
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18.28.6_3
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5: 28.2 Definitions and Basic Properties
6: 28.20 Definitions and Basic Properties
7: 28.5 Second Solutions ,
8: 30.14 Wave Equation in Oblate Spheroidal Coordinates
§30.14 Wave Equation in Oblate Spheroidal Coordinates
►§30.14(i) Oblate Spheroidal Coordinates
… ►§30.14(iv) Separation of Variables
… ►Equation (30.14.7) can be transformed to equation (30.2.1) by the substitution . … ►9: 28.12 Definitions and Basic Properties
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