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APPLICATION OF ALFREY'S FORMULA IN THE THEORY OF RANDOM PROCESSES

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An approximate method using Alfrey’s formula is proposed for derivation of digital values of function with image represented by a complex Laplace transform. The formula was obtained in the study of mechanical properties of high polymers; it is based on filtering the integrand of Laplace transform with the delta-function. A solution of an integral equations with temporal redundancy for the probability of task execution by a system is presented as an example. Attempts to improve the accuracy of the inverse transformation using the mathematical apparatus of Haar’s or Widder’s methods are reported to be unsuccessful.

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