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Some formulas of operational calculus for step functions generated by special functions

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Abstract

One-dimensional Laplace transforms of some step functions are presented.

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Literature cited

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    V. A. Ditkin and A. P. Prudnikov, Integral Transforms and Operational Calculus [in Russian], Moscow (1974).

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    V. A. Ditkin and A. P. Prudnikov, Operational Calculus [in Russian], Moscow (1975).

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    Yu. A. Brychkov and A. P. Prudnikov, Inzh.-Fiz. Zh.,52, No. 6, 999–1003 (1987).

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    V. A. Ditkin and A. P. Prudnikov, Operational Calculus Handbook [in Russian], Moscow (1965).

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    A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series. Elementary Functions [in Russian], Moscow (1981).

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    A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series. Special Functions [in Russian], Moscow (1983).

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    A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series. Additional Chapters [in Russian], Moscow (1986).

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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 53, No. 6, pp. 1010–1014, December, 1987.

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Brychkov, Y.A., Prudnikov, A.P. Some formulas of operational calculus for step functions generated by special functions. Journal of Engineering Physics 53, 1472–1475 (1987). https://doi.org/10.1007/BF00870171

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Keywords

  • Statistical Physic
  • Special Function
  • Step Function
  • Operational Calculus