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Integral Transforms and Special Functions Volume 26, 2015 - Issue 6
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Original Articles

A special function of communication theory

Yu.A. BrychkovDorodnicyn Computing Center of the Russian Academy of Sciences, Moscow, Russia
&
N.V. SavischenkoSaint-Petersburg State University of Telecommunications, Saint-Petersburg, RussiaCorrespondence[email protected]
Pages 470-484 | Received 01 Jan 2015, Accepted 13 Feb 2015, Published online: 13 Mar 2015

Citations (13)

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Read on this site (4)

Chelo Ferreira, José L. López & Ester Pérez Sinusía. (2023) New series expansions for the ℋ-function of communication theory. Integral Transforms and Special Functions 34:12, pages 879-890.
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A. S. Gvozdarev. (2017) Partial order generalized Marcum Q-function contour integral representation. Integral Transforms and Special Functions 28:11, pages 876-887.
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Yu. A. Brychkov. (2017) Reduction formulas for the Appell and Humbert functions. Integral Transforms and Special Functions 28:1, pages 22-38.
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Yu. A. Brychkov & N. V. Savischenko. (2016) Some properties of the Owen T-function. Integral Transforms and Special Functions 27:2, pages 163-180.
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Articles from other publishers (9)

N. V. Savischenko & Yu. A. Brychkov. (2022) Multiple Hypergeometric Functions in Communication Theory: Evaluations of Error Probabilities for Four-Parameter, $$\boldsymbol{\kappa{-}\mu}$$ and $$\boldsymbol{\eta{-}\mu}$$ Signals Distributions in General Fading Channels. Lobachevskii Journal of Mathematics 43:7, pages 1976-1992.
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Yu. A. Brychkov & N. V. Savischenko. (2022) Some Properties of Multiple Hypergeometric Functions and Applications in the Probability Theory. Lobachevskii Journal of Mathematics 43:7, pages 1813-1831.
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Yury A. Brychkov, Dragana Jankov Maširević & Tibor K. Pogány. (2022) New Expression for CDF of $$\chi _\nu '^2(\lambda )$$ Distribution and Marcum $$Q_1$$ Function. Results in Mathematics 77:3.
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Yu. A. Brychkov & N. V. Savischenko. (2021) Applications of Multiple Hypergeometric Functions in Communication Theory: A New Multiple-Wave Model with Diffuse Power. Lobachevskii Journal of Mathematics 42:8, pages 1807-1828.
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Yu. A. Brychkov & N. V. Savischenko. (2021) Hypergeometric Functions of Several Variables and Evaluation of Error Probability in Fading Multichannel System. Lobachevskii Journal of Mathematics 42:1, pages 70-83.
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Yu. A. Brychkov & N. V. Savischenko. (2020) Application of Hypergeometric Functions of Several Variables in the Mathematical Theory of Communication: Evaluation of Error Probability in Fading Singlechannel System. Lobachevskii Journal of Mathematics 41:10, pages 1971-1991.
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Yongsup Kim, Medhat A. Rakha & Arjun K. Rathie. (2020) On several unified reduction formulas for the Humbert function $$\Phi _{2}$$ with applications. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 114:2.
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Yu. A. Brychkov & N. V. Savischenko. (2019) Application of Hypergeometric Functions of Two Variables in Wireless Communication Theory. Lobachevskii Journal of Mathematics 40:7, pages 938-953.
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N. V. Savischenko & E. V. Lebeda. (2019) Multi-position signal coherent reception error probability in a channel with generalized gamma or K fading and white noise. Information and Control Systems:1, pages 76-88.
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