All positive zeros of subrange Jacobi polynomials, orthogonal on [−c, c], 0 < c < 1, with respect to the weight function w(x) = (1 − x)α(1 + x)β, α > − 1, β > − 1, are shown in the ultraspherical case α = β, and partly conjectured in the general case α < β, to be monotonically increasing as functions of c.
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Univ Estadual Paulista, IBILCE, Dept Ciencias Comp & Estat, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilUniv Estadual Paulista, IBILCE, Dept Ciencias Comp & Estat, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
Dimitrov, DK
Rodrigues, RO
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Univ Estadual Paulista, IBILCE, Dept Ciencias Comp & Estat, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilUniv Estadual Paulista, IBILCE, Dept Ciencias Comp & Estat, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
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Univ Estadual Paulista, IBILCE, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilUniv Estadual Paulista, IBILCE, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
Dimitrov, Dimitar K.
dos Santos, Eliel J. C.
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Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, BR-13083970 Campinas, SP, BrazilUniv Estadual Paulista, IBILCE, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil