Functional inequalities and bounds for the generalized Marcum function of the second kind

DOI10.1007/s00025-021-01343-3zbMath1478.33012OpenAlexW3122074894MaRDI QIDQ2038368

Nitin Bisht, V. Antony Vijesh, Árpád Baricz, Sanjeev Singh

Publication date: 6 July 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01343-3

zbMATH Keywords

complementary error functionboundssurvival functionsymmetric differencegeneralized Marcum \(Q\)-functionlog-convexity and geometrical convexitymodified Bessel function of second kind

Mathematics Subject Classification ID

Detection theory in information and communication theory (94A13) Other functions defined by series and integrals (33E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Monotonic functions, generalizations (26A48) Communication theory (94A05)

Uses Software

• DLMF

Cites Work

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• Geometrically concave univariate distributions
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• Inequalities for modified Bessel functions and their integrals
• Inequalities for the generalized Marcum \(Q\)-function
• The monotonicity and convexity for the ratios of modified Bessel functions of the second kind and applications
• Monotonicity of the Zeros of a Cross-Product of Bessel Functions
• On the Monotonicity, Log-Concavity, and Tight Bounds of the Generalized Marcum and Nuttall $Q$-Functions
• Analytic Inequalities