An Inequality of Turan Type for Jacobi Polynomials

DOI10.2307/2037835zbMath0237.33009OpenAlexW4238769632MaRDI QIDQ5647210

George Casper

Publication date: 1972

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2037835

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

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Positivity of Turán determinants for orthogonal polynomials. II ⋮ Differential equation and inequalities of the generalized \(\mathtt{k}\)-Bessel functions ⋮ On a general Maclaurin’s inequality ⋮ Extensions to generalizations of hypergeometric and basic hypergeometric functions of inequalities for quotients of hypergeometric functions that arose in research on financing efficiency of securities-based crowdfunding ⋮ Two-parameter Turan inequalities for ultraspherical and Laguerre polynomials ⋮ Turán's inequality for ultraspherical polynomials revisited ⋮ Turán type inequalities for hypergeometric functions ⋮ Determinants with orthogonal polynomial entries ⋮ Nonnegative quadratic forms and bounds on orthogonal polynomials ⋮ On Turán's inequality for Legendre polynomials ⋮ Turán's inequality, nonnegative linearization and amenability properties for associated symmetric Pollaczek polynomials ⋮ Universal bounds and monotonicity properties of ratios of Hermite and parabolic cylinder functions ⋮ Some generalized Pólya-Turán inequalities

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