On a conjecture regarding the extrema of Bessel functions and its generalization

DOI10.1016/S0022-247X(03)00015-5zbMath1018.33005WikidataQ123245917 ScholiaQ123245917MaRDI QIDQ1874432

Javier Segura

Publication date: 25 May 2003

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

zbMATH Keywords

zerosBessel functionsSturm methods

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

On the zeros and turning points of special functions. ⋮ Computing the real zeros of cylinder functions and the roots of the equation \(x{\mathcal C}_{\nu}'(x)+\gamma{\mathcal C}_{\nu}(x)=0\). ⋮ New inequalities from classical Sturm theorems

Cites Work

• Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
• Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros
• Computing the Zeros and Turning Points of Solutions of Second Order Homogeneous Linear ODEs
• The Zeros of Special Functions from a Fixed Point Method
• Some recent results on the zeros of Bessel functions and orthogonal polynomials
• Unnamed Item

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