Bounds for the generalized Marcum \(Q\)-function

DOI10.1016/j.amc.2010.07.024zbMath1205.33009OpenAlexW2110896523MaRDI QIDQ606760

Yin Sun, Árpád Baricz

Publication date: 18 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.07.024

zbMATH Keywords

complementary error functionincomplete gamma functionmodified Bessel functionsboundsgeneralized Marcum \(Q\)-function

Mathematics Subject Classification ID

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

Related Items (11)

Bounds for the generalized Marcum function of the second kind ⋮ Bounds for an integral involving the modified lommel function of the first kind ⋮ Universal recurrence algorithm for computing Nuttall, generalized Marcum and incomplete Toronto functions and moments of a noncentral \(\chi^{2}\) random variable ⋮ Inequalities for some integrals involving modified Bessel functions ⋮ Inequalities for integrals of the modified Struve function of the first kind. II. ⋮ Inequalities for integrals of modified Bessel functions and expressions involving them ⋮ Inequalities for modified Bessel functions and their integrals ⋮ Inequalities for integrals of the modified Struve function of the first kind ⋮ Bounds for an integral of the modified Bessel function of the first kind and expressions involving it ⋮ Inequalities for some integrals involving modified Lommel functions of the first kind ⋮ Bounds for an integral involving the modified Struve function of the first kind

Cites Work

• Tight bounds for the generalized Marcum \(Q\)-function
• An inequality for the Bessel functions of the first kind with imaginary argument
• Inequalities for the generalized Marcum \(Q\)-function
• New bounds for the Marcum Q-function
• Bounds for modified Bessel functions of the first and second kinds
• New Bounds for the Generalized Marcum $Q$-Function
• On the Monotonicity of the Generalized Marcum and Nuttall ${Q}$-Functions
• On the Monotonicity, Log-Concavity, and Tight Bounds of the Generalized Marcum and Nuttall $Q$-Functions

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