A new twist on the Nuttall function Qm,n(a,b)

F. J. Lopez-Martinez; D. Morales-Jimenez

doi:10.1080/10652469.2015.1021798

A new twist on the Nuttall function Q_m,n(a,b)

F. J. Lopez-Martinez^*, D. Morales-Jimenez

^*Corresponding author for this work

School of Electronics, Electrical Engineering and Computer Science

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

New expressions for the Nuttall function (Formula presented.) are given in terms of the confluent Appell function (Formula presented.). The derived closed-form expressions are valid for integer values of m and n satisfying (Formula presented.) with (Formula presented.) being an odd integer; this happens to be the case of many practical applications involving the Nuttall Q-function.

Original language	English
Pages (from-to)	523-530
Number of pages	8
Journal	Integral Transforms and Special Functions
Volume	26
Issue number	7
Early online date	13 Mar 2015
DOIs	https://doi.org/10.1080/10652469.2015.1021798
Publication status	Published - 2015

Keywords

hypergeometric functions
Marcum Q-function
Nuttall Q-function
residue
special functions

ASJC Scopus subject areas

Applied Mathematics
Analysis

Access to Document

10.1080/10652469.2015.1021798Licence: Unspecified

Cite this

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