Higher monotonicity properties of certain Sturm-Liouville functions

DOI10.1007/BF02391809zbMath0111.06502MaRDI QIDQ1131298

Peter Szego, Lee Lorch

Publication date: 1963

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

special functions

Related Items (16)

A Bessel function inequality connected with stability of least square smoothing, II ⋮ Interpolating Functions Associated with Second-Order Differential Equations ⋮ A property of the zeros of the Legendre polynomials ⋮ Higher monotonicity properties of normalized Bessel functions ⋮ Continuous ranking of zeros of special functions ⋮ Monotonicity of the Differences of Zeros of Bessel Functions as a Function of Order ⋮ Studies on the zeroes of Bessel functions and methods for their computation. IV: Inequalities, estimates, expansions, etc., for zeros of Bessel functions ⋮ On the Gibbs phenomenon for Riesz spherical means of multiple Fourier series and Fourier integrals ⋮ The approximation of a Hölder class of two variables by Riesz spherical means ⋮ Über die Radon-Transformation kreissymmetrischer Funktionen und ihre Beziehung zur Sommerfeldschen Theorie der Hankelfunktionen ⋮ Monotonic sequences related to zeros of Bessel functions ⋮ Some new properties of biharmonic heat kernels ⋮ Complex Solutions and Stationary Scattering for the Nonlinear Helmholtz Equation ⋮ Monotonicity properties of zeros of generalized Airy functions ⋮ Convexity of the zeros of some orthogonal polynomials and related functions ⋮ WKB approach to zero distribution of solutions of linear second order differential equations

Cites Work

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• A central limit theorem for the response of filters with vanishing bandwidths
• Some geometrical theorems for abscissas and weights of Gauss type
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• On Differential Equations and the Function $J_\{mu}^2 + Y_\{mu}^2$
• Monotonicity of the Differences of Zeros of Bessel Functions as a Function of Order
• A Remark on Completely Monotonic Sequences, with an Application to Summability
• On a monotonic property of certain Sturm-Liouville functions

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