On the Monotonicity of the Generalized Marcum and Nuttall ${Q}$ -Functions

@article{Mihos2009OnTM,
  title={On the Monotonicity of the Generalized Marcum and Nuttall \$\{Q\}\$ -Functions},
  author={Sotirios K. Mihos and Vasilios M. Kapinas and George K. Karagiannidis},
  journal={IEEE Transactions on Information Theory},
  year={2009},
  volume={55},
  pages={3701-3710}
}
Monotonicity criteria are established for the generalized Marcum <i>Q</i> -function, <i>QM</i>(alpha,beta), the standard Nuttall <i>Q</i>-function, <i>QM</i>,<i>N</i>(alpha,beta) , and the normalized Nuttall <i>Q</i>-function, <i>QM</i>,<i>N</i>(alpha,beta), with respect to their real order indices <i>M</i>,<i>N</i>. Besides, closed-form expressions are… CONTINUE READING

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