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Complex delta function and its information application

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Abstract

A brief history of introducing the delta function on a complex plane is presented. The proof of the mathematical form of the complex delta function is given. An example of applying the complex delta function for finding the stationary value of an alternating random accumulation process with the informational income and expenditure is presented.

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References

  1. Kalinin, V.M., Moi formuly (My Formulae), St. Peter.: St. Peter. Gos. Univ., 1966.

    Google Scholar 

  2. Dugue, D., Traité de statistique théorique et appliquée, Paris: Masson, 1958.

    MATH  Google Scholar 

  3. Smagin, V.A., Probabilistic analysis of complex variable, Autom. Cont. Comp. Sci., 1999, vol. 33, pp. 1–10.

    Google Scholar 

  4. Cox, D.R., A use of complex probabilities in the theory of stochastic processes, Proc. Cambridge Phil. Soc., 1955, vol. 51, p. 313.

    Article  MATH  Google Scholar 

  5. Gatsenko, O.Yu. and Smagin, V.A., Elementy veroyatnostnogo analiza kompleksnoi peremennoi, (Elements of the Probabilistic Analysis of Complex Variable), St. Petersburg: Voen. Kosmic Akad., 1998.

    Google Scholar 

  6. Cox, D.R., Renewal Theory, London: Methuen, 1961.

    Google Scholar 

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Authors and Affiliations

  1. Mozhaiskii Military Space Academy, ul. Krasnogo Kursanta 16, St. Petersburg, 197082, Russia

    V. A. Smagin

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  1. V. A. Smagin
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Correspondence to V. A. Smagin.

Additional information

Original Russian Text © V.A. Smagin, 2014, published in Avtomatika i Vychislitel’naya Tekhnika, 2014, No. 1, pp. 17–25.

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Smagin, V.A. Complex delta function and its information application. Aut. Control Comp. Sci. 48, 10–16 (2014). https://doi.org/10.3103/S0146411614010064

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  • DOI: https://doi.org/10.3103/S0146411614010064

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