Uniform treatment of Darboux's method and the Heisenberg polynomials (Q2839352)
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scientific article; zbMATH DE number 6184467
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform treatment of Darboux's method and the Heisenberg polynomials |
scientific article; zbMATH DE number 6184467 |
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5 July 2013
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Heisenberg polynomials
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Darboux's method
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uniform asymptotic expansion
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confluent hypergeometric function
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Bessel function
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0.89650476
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0.8801488
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0.86207694
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0.86176723
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0.85368645
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0.85277265
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0.8523406
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0.8521156
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0.8501152
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Uniform treatment of Darboux's method and the Heisenberg polynomials (English)
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It is shown that the set of Heisenberg polynomials furnishes a simple non-trivial example in the uniform treatment of Darboux's method. The study of Heisenberg polynomials is traced back to the investigation of the harmonic polynomials on the Heisenberg group. The applications to asymptotic zeros confluent hypergeometric functions and Bessel functions are given.
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