sectorial harmonics
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11—20 of 35 matching pages
11: 1.7 Inequalities
12: 1.17 Integral and Series Representations of the Dirac Delta
13: 18.38 Mathematical Applications
14: 18.39 Applications in the Physical Sciences
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► a) The Harmonic Oscillator
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►This is illustrated in Figure 18.39.1 where the first and fourth excited state eigenfunctions of the Schrödinger operator with the rationally extended harmonic potential, of (18.39.19), are shown, and compared with the first and fourth excited states of the harmonic oscillator eigenfunctions of (18.39.14) of paragraph a), above.
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►The eigenfunctions of are the spherical harmonics
with eigenvalues , each with degeneracy as .
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18.39.24
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15: 25.11 Hurwitz Zeta Function
16: 1.2 Elementary Algebra
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§1.2(iv) Means
… ►The geometric mean and harmonic mean of positive numbers are given by … ►
1.2.19
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17: 1.9 Calculus of a Complex Variable
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Harmonic Functions
… ►Mean Value Property
►For harmonic, … ►Poisson Integral
… ►is harmonic in . …18: Bibliography T
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Harmonic Analysis on Symmetric Spaces and Applications. II.
Springer-Verlag, Berlin.
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Hyperspherical elliptic harmonics and their relation to the Heun equation.
Phys. Rev. A 63 (032510), pp. 1–8.
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Representation Theory and Harmonic Analysis.
Contemporary Mathematics, Vol. 191, American Mathematical Society, Providence, RI.
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19: Bibliography G
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A harmonic mean inequality for the gamma function.
SIAM J. Math. Anal. 5 (2), pp. 278–281.
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A code to evaluate prolate and oblate spheroidal harmonics.
Comput. Phys. Comm. 108 (2-3), pp. 267–278.
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Evaluation of toroidal harmonics.
Comput. Phys. Comm. 124 (1), pp. 104–122.
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DTORH3 2.0: A new version of a computer program for the evaluation of toroidal harmonics.
Comput. Phys. Comm. 139 (2), pp. 186–191.
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Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials.
J. Phys. A 47 (1), pp. 015203, 26 pp..
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