Abstract
Some integral relations for orthogonal polynomials are elucidated. We review the generic scheme of the star-product construction and study in detail the star-product scheme based on the tomographic map. The dual star-product operator symbols are also considered and studied. Some integral kernels related to the star-product are calculated and new integral formulas for special functions are derived.
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Kolesnikov, A.A., Man’ko, V.I. The probability representation of quantum states and integral relations for Hermite and Laguerre polynomials. J Russ Laser Res 28, 594–609 (2007). https://doi.org/10.1007/s10946-007-0045-0
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DOI: https://doi.org/10.1007/s10946-007-0045-0