Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: P. Leopardi and the author recently investigated, among other things, the validity of the inequality \(n\theta_n^{(\alpha,\beta)}\!  − 1, β > − 1. The domain in the parameter space (α, β) in which the inequality holds for all n ≥ 1, conjectured by us, is shown here to require a small adjustment—the deletion of a very narrow lens-shaped region in the square { − 1 < α < − 1/2, − 1/2 < β < 0}.
['Walter Gautschi']
I am writing a research paper on a idea On a conjectured inequality for the largest zero of Jacobi polynomials
[{"from": "human", "value": "I am writing a research paper on a idea On a conjectured inequality for the largest zero of Jacobi polynomials"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: P. Leopardi and the author recently investigated, among other things, the validity of the inequality \\(n\\theta_n^{(\\alpha,\\beta)}\\!  \u2212 1, \u03b2 > \u2212 1. The domain in the parameter space (\u03b1, \u03b2) in which the inequality holds for all n \u2265 1, conjectured by us, is shown here to require a small adjustment\u2014the deletion of a very narrow lens-shaped region in the square { \u2212 1 < \u03b1 < \u2212 1/2, \u2212 1/2 < \u03b2 < 0}."}]