Turán Inequalities for Ultraspherical and Continuous q-Ultraspherical Polynomials
Copyright policy ) Bustoz, Joaquin; Ismail, Mourad E. H.;
Turán Inequalities for Ultraspherical and Continuous q-Ultraspherical Polynomials
Paul Turan discovered that Legendre polynomials satisfy the inequality \[ P_n^2 - P_{n + 1} P_{n - 1} > 0\quad {\text{for }} - 1 0,\quad 0 < x < 1,\quad \frac{1}{2} < a \leq \beta \leq \alpha + 1.\]
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), ultraspherical polynomials, Inequalities for trigonometric functions and polynomials, Turan inequalities, Other special functions, q-ultraspherical polynomials
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), ultraspherical polynomials, Inequalities for trigonometric functions and polynomials, Turan inequalities, Other special functions, q-ultraspherical polynomials
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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