Bounds for the generalized Marcum function of the second kind

DOI10.1007/s11139-021-00440-9OpenAlexW3173121841MaRDI QIDQ2127834

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

Publication date: 21 April 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-021-00440-9

zbMATH Keywords

complementary error functionmodified Bessel function of the second kindboundssurvival functiongeneralized Marcum \(Q\)-function

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)

Related Items (1)

Asymptotic and numerical aspects of the generalized Marcum function of the second kind

Uses Software

• DLMF

Cites Work

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• Bounds for the generalized Marcum \(Q\)-function
• Functional inequalities for modified Bessel functions
• Monotonicity rules for the ratio of two Laplace transforms with applications
• The generalized Marcum function of the second kind: monotonicity patterns and tight bounds
• 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
• New Bounds for the Generalized Marcum $Q$-Function
• On an Inequality for Modified Bessel Functions

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