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- W2963809256 abstract "We study the monotonic behaviour of the zeros of the multiple Jacobi-Angelesco orthogonal polynomials, in the diagonal case, with respect to the parameters <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=alpha comma beta> <mml:semantics> <mml:mrow> <mml:mi>α<!-- α --></mml:mi> <mml:mo>,</mml:mo> <mml:mi>β<!-- β --></mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>alpha ,beta</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=gamma> <mml:semantics> <mml:mi>γ<!-- γ --></mml:mi> <mml:annotation encoding=application/x-tex>gamma</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. We prove that the zeros are monotonic functions of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=alpha> <mml:semantics> <mml:mi>α<!-- α --></mml:mi> <mml:annotation encoding=application/x-tex>alpha</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=gamma> <mml:semantics> <mml:mi>γ<!-- γ --></mml:mi> <mml:annotation encoding=application/x-tex>gamma</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and consider some special cases of how the zeros depend on <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=beta> <mml:semantics> <mml:mi>β<!-- β --></mml:mi> <mml:annotation encoding=application/x-tex>beta</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, especially in the presence of symmetry. As a consequence we obtain results about monotonicity of zeros of Jacobi-Laguerre and Laguerre-Hermite multiple orthogonal polynomials too." @default.
- W2963809256 created "2019-07-30" @default.
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- W2963809256 date "2017-08-01" @default.
- W2963809256 modified "2023-10-03" @default.
- W2963809256 title "Monotonicity of zeros of Jacobi-Angelesco polynomials" @default.
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- W2963809256 doi "https://doi.org/10.1090/proc/13319" @default.
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