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Operator Hypergeometric Functions
Journal of Mathematical Sciences, 2023The paper deals with differential equations \[ Du=Au\tag{1} \] with a differential operator \(D\) and unbounded operator coefficients \(A\). If the case when the Cauchy problem for equation (1) is uniformly well-posed then its solution can be represented via transformation operator.
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Under a certain condition, we find the explicit formulas for the trace functions of certain intertwining operators among gl(n)-modules, introduced by Etingof in connection with the solutions of the Calogero–Sutherland model. If n = 2, the master function of the trace function is exactly the classical Gauss hypergeometric function.
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