On bounds for solutions of monotonic first-order difference-differential systems

DOI10.1186/1029-242X-2012-65zbMath1278.34037arXiv1110.0870WikidataQ59271075 ScholiaQ59271075MaRDI QIDQ371016

Javier Segura

Publication date: 20 September 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0870

zbMATH Keywords

Riccati equationthree-term recurrence relationTurán-type inequalitiesmonotonic difference-differential systemsspecial function boundszeros of orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Linear ordinary differential equations and systems (34A30) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (7)

A new type of sharp bounds for ratios of modified Bessel functions ⋮ On bounds for monotonic first order differential systems and the Liouville-Green approximation ⋮ Bounds for modified Struve functions of the first kind and their ratios ⋮ Turán type inequalities for Tricomi confluent hypergeometric functions ⋮ Universal bounds and monotonicity properties of ratios of Hermite and parabolic cylinder functions ⋮ Bounds for modified Lommel functions of the first kind and their ratios ⋮ On bounds for Kummer’s function ratio

Cites Work

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