New relations for two‐dimensional Hermite polynomials
نویسندگان
چکیده
منابع مشابه
New relations for two-dimensional Hermite polynomials
The effective formulas reducing the two-dimensional Hermite polynomials to the classical (one-dimensional) orthogonal polynomials are given. New one-parameter generating functions for these polynomials are derived. Asymptotical formulas for large values of indices are found. The applications to the squeezed one-mode states and to the time-dependent quantum harmonic oscillator are considered.
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1994
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.530853