Everything about Marcum Q-function

🧭 Start here: a 6-step reading path

1. Read the overview: Marcum Q-functionA 5-minute orientation
2. Skim a recent paper: On starlikeness of the generalized Marcum Q-functionInfluential work since 2022
3. Read the landmark paper: The calculation of the probability of detection and the generalized Marcum Q-functionCited 146 times
4. Go sideways: Multiplication theoremA closely related topic
5. Go sideways: Mertens functionA closely related topic

🏆 Landmark papers (most cited)

• The calculation of the probability of detection and the generalized Marcum Q-function

  D.A. Shnidman · 1989 · IEEE Transactions on Information Theory · 146 citations

• Exponential-type bounds on the generalized Marcum Q-function with application to error probability analysis over fading channels

  M.K. Simon, M.-S. Alouini · 2000 · IEEE Transactions on Communications · 94 citations

• A new twist on the Marcum Q-function and its application

  M.K. Simon · 1998 · IEEE Communications Letters · 91 citations

• New bounds for the Marcum Q-function

  G.E. Corazza, G. Ferrari · 2002 · IEEE Transactions on Information Theory · 78 citations

• The Nuttall Q function - its relation to the Marcum Q function and its application in digital communication performance evaluation

  M.K. Simon · 2002 · IEEE Transactions on Communications · 66 citations

• An Approximation of the First Order Marcum Q-Function with Application to Network Connectivity Analysis

  Mohammud Z. Bocus, Carl P. Dettmann, Justin P. Coon · 2013 · IEEE Communications Letters · 64 citations

• Some new results for integrals involving the generalized marcum Q function and their application to performance evaluation over fading channels

  M.K. Simon, M.-S. Alouini · 2003 · IEEE Transactions on Wireless Communications · 49 citations

• On some properties of the MarcumQfunction

  Yu A. Brychkov · 2012 · Integral Transforms and Special Functions · 47 citations

🆕 Influential since 2022

• On starlikeness of the generalized Marcum Q-function

  Khaled Mehrez, Abdulaziz Alenazi · 2025 · Journal of Mathematical Inequalities · 5 citations

• Geometric characterizations of some analytic functions related to the generalized Marcum Q -function

  Abdulaziz Alenazi, Khaled Mehrez · 2025 · Quaestiones Mathematicae · 3 citations

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

  Árpád Baricz, Nitin Bisht, Sanjeev Singh · 2022 · Applicable Analysis and Discrete Mathematics · 2 citations

• A class of analytic functions related to the generalized Marcum Q-function and its geometric properties

  Abdulaziz Alenazi, Khaled Mehrez · 2025 · Journal of Inequalities and Applications · 2 citations

• Further Geometric Behavior of the Generalized Marcum Q-Function

  Khaled Mehrez, Abdulaziz Alenazi, Mohsan Raza · 2026 · Symmetry · 1 citations

📚 Books worth reading

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🔗 Related topics

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