赞恩州立学院国际商务文凭证书〖办证V信ATV1819〗psiup
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11: 36.9 Integral Identities
12: 36.2 Catastrophes and Canonical Integrals
13: Sidebar 5.SB1: Gamma & Digamma Phase Plots
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►The color encoded phases of (above) and (below), are constrasted in the negative half of the complex plane.
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►In the lower half of the image, the poles of (corresponding to the poles of ) and the zeros between them are clear.
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14: 36.6 Scaling Relations
15: 5.5 Functional Relations
16: 31.17 Physical Applications
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►for the common eigenfunction , where is the coupling parameter of interacting spins.
…The operators and admit separation of variables in , leading to the following factorization of the eigenfunction :
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31.17.4
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17: 17.8 Special Cases of Functions
18: 5.7 Series Expansions
19: 31.8 Solutions via Quadratures
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31.8.2
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►Here is a polynomial of degree in and of degree in , that is a solution of the third-order differential equation satisfied by a product of any two solutions of Heun’s equation.
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►By automorphisms from §31.2(v), similar solutions also exist for , and may become a rational function in .
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