Polynômes de Hua, noyau de Bergman des domaines de Cartan-Hartogs et problème de Lu Qikeng
In this paper we reduce the Lu Qikeng problem for Cartan-Hartogs domains to an algebraic problem on Hua polynomials and we give a complete solution when the Cartan-Hartogs domain is built on a bounded symmetric domain of dimension at most 4.
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