A property of Cauchy–Stieltjes kernel families based on dilation of measures
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Ibrahim-Elkhalil Ahmed
Abstract
In this paper, we introduce a property of the inverse Semicircle and the free Gamma laws based on the dilation of measures in the context of Cauchy–Stieltjes Kernel (CSK) families. Assume that the CSK family produced by a non-degenerate probability measure λ on
Let us say that
Funding statement: This work was funded by the Deanship of Graduate Studies and Scientific Research at Jouf University under grant No. (DGSSR-2024-02-01194).
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