Monotonicity of some modified Bessel function products

DOI10.1080/10652460601041219zbMath1109.33006OpenAlexW2065677376MaRDI QIDQ3434533

Robert Penfold, Scott Grandison, Jean-Marc Vanden-Broeck

Publication date: 2 May 2007

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460601041219

zbMATH Keywords

Modified Bessel functionComplete monotonicityRecurrence relation

Mathematics Subject Classification ID

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

Related Items (14)

Optimal constants and extremisers for some smoothing estimates ⋮ The index of Dirac operators on incomplete edge spaces ⋮ Properties of the Product of Modified Bessel Functions ⋮ Stein factors for variance-gamma approximation in the Wasserstein and Kolmogorov distances ⋮ Functional inequalities for modified Bessel functions ⋮ Second Type Neumann Series Related to Nicholson’s and to Dixon–Ferrar Formula ⋮ On Turán type inequalities for modified Bessel functions ⋮ Recursive computation of logarithmic derivatives, ratios, and products of spheroidal harmonics and modified Bessel functions and applications ⋮ TURÁN TYPE INEQUALITIES FOR MODIFIED BESSEL FUNCTIONS ⋮ On a product of modified Bessel functions ⋮ Higher Dimensional Bubble Profiles in a Sharp Interface Limit of the FitzHugh--Nagumo System ⋮ Monotonicity properties for ratios and products of modified Bessel functions and sharp trigonometric bounds ⋮ Bounds for an integral involving the modified Struve function of the first kind ⋮ Bounds for Turánians of modified Bessel functions

Cites Work

• On the Products of Solutions of Second Order Disconjugate Differential Equations and the Whittaker Differential Equation
• Rational Bounds for Ratios of Modified Bessel Functions
• Completely monotonic functions

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