Some consequences of a lower bound for the second derivative of the zeros of Bessel functions

DOI10.1016/0022-247X(87)90160-0zbMath0627.33007OpenAlexW2141726667MaRDI QIDQ1092293

Andrea Laforgia, Árpád Elbert

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-247x(87)90160-0

zbMATH Keywords

inequalitieszeros of Bessel functions

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (5)

On the power of the zeros of Bessel functions ⋮ A result on the imaginary zeros of \(J_{\nu}(z)\) ⋮ Studies on the zeros of Bessel functions and methods for their computation. III: Some new works on monotonicity, convexity, and other properties ⋮ Further monotonicity and convexity properties of the zeros of cylinder functions ⋮ A convexity property of zeros of Bessel functions

Cites Work

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• An asymptotic relation for the zeros of Bessel functions
• On the Square of the Zeros of Bessel Functions
• Inequalities and Approximations for Zeros of Bessel Functions of Small Order
• FURTHER RESULTS ON THE ZEROS OF BESSEL FUNCTIONS
• On the Convexity of the Zeros of Bessel Functions
• On the concavity of zeros of bessel functions^†

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