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Linear operators on polynomials preserving roots in open circular domains

Linear operators on polynomials preserving roots in open circular domains

In the present paper we answer a question raised by J. Borcea and P. Brändén and give a description of the class of operators preserving roots in open circular domains, i.e., in images of the open upper half-plane under the Möbius transformations. Our second result is a description of the …