Abstract
Using the entropic inequalities for Shannon and Tsallis entropies new inequalities for some classical polynomials are obtained. To this end, an invertible mapping for the irreducible unitary representation of groups SU(2) and SU(1, 1) like Jacoby polynomials and Gauss’ hypergeometric functions, respectively, are used.
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Man’ko, V.I., Markovich, L.A. Entropic inequalities for matrix elements of rotation group irreducible representations. Lobachevskii J Math 38, 699–708 (2017). https://doi.org/10.1134/S199508021704014X
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DOI: https://doi.org/10.1134/S199508021704014X