spheroidal wave functions
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11—20 of 37 matching pages
11: 30.9 Asymptotic Approximations and Expansions
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§30.9(i) Prolate Spheroidal Wave Functions
… ►§30.9(ii) Oblate Spheroidal Wave Functions
… ►§30.9(iii) Other Approximations and Expansions
… ►12: Hans Volkmer
13: 30.16 Methods of Computation
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§30.16(ii) Spheroidal Wave Functions of the First Kind
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30.16.9
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§30.16(iii) Radial Spheroidal Wave Functions
…14: 31.12 Confluent Forms of Heun’s Equation
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►This has regular singularities at and , and an irregular singularity of rank 1 at .
►Mathieu functions (Chapter 28), spheroidal wave functions (Chapter 30), and Coulomb spheroidal functions (§30.12) are special cases of solutions of the confluent Heun equation.
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15: 30.7 Graphics
16: 31.18 Methods of Computation
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►The computation of the accessory parameter for the Heun functions is carried out via the continued-fraction equations (31.4.2) and (31.11.13) in the same way as for the Mathieu, Lamé, and spheroidal wave functions in Chapters 28–30.
17: 30.8 Expansions in Series of Ferrers Functions
18: 30.2 Differential Equations
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§30.2(i) Spheroidal Differential Equation
…19: 30.14 Wave Equation in Oblate Spheroidal Coordinates
20: 30.18 Software
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