Vol. 26

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues

Heaviside Operational Rules Applicable to Electromagnetic Problems

By Ismo Veikko Lindell
Progress In Electromagnetics Research, Vol. 26, 293-331, 2000


 (See works that cites this article)
Ismo Veikko Lindell, "Heaviside Operational Rules Applicable to Electromagnetic Problems," Progress In Electromagnetics Research, Vol. 26, 293-331, 2000.


    1. Whittaker, E., "Oliver Heaviside," Bull. Calcutta Math. Soc., Vol. 20, 199-220, Sep. 1928. Reprint in reference [10].

    2. Nahin, P. J., Oliver Heaviside, Sage in Solitude, IEEE Press, New York, 1988.

    3. Heaviside, O., "On operators in physical mathematics, Part 1," Proc. Roy. Soc., Vol. Proc. Ro, 504-529, February 1893. In condensed form, [6], Vol. 2, 434-443.

    4. Heaviside, O., "On operators in physical mathematics, Part 2," Proc. Roy. Soc., Vol. 54, 105-143, June 1893. In condensed form, [6], Vol. 2, 443-457.

    5. Heaviside, O., "On operators in physical mathematics, Part 3,", submitted to Proc. Roy. Soc., not published. A condensed form appeared in [6], Vol. 2, 457-492.

    6. Heaviside, O., Electromagnetic Theory, Vol. 1, 2, 3, Ernest Benn Ltd., London, second reprint, 1925.

    7. Carson, J. R., lectric Circuit Theory and the Operational Calculus, McGraw-Hill, New York, 1926.

    8. Van der Pol, B. and H. Bremmer, Operational Calculus Based on the Two-Sided Laplace Integral, 2nd Ed., Cambridge University Press, 1959.

    9. Mikusinski, J., Operational Calculus, Pergamon Press, Warsaw, 1959.

    10. Moore, D. H., Heaviside Operational Calculus, an Elementary Foundation, American Elsevier, New York, 1971.

    11. Krabbe, G., Operational Calculus, Plenum, New York, 1975.

    12. Berg, E. J., Heaviside’s Operational Calculus, 2nd Ed., McGraw-Hill, New York, 1936.

    13. Stephens, E., The Elementary Theory of Operational Mathematics, McGraw-Hill, New York, 1937.

    14. Bush, V., Operational Circuit Analysis, Wiley, New York, 1948.

    15. Josephs, H. J., Heaviside’s Electric Circuit Theory, 2nd Ed., Methuen, London, 1950.

    16. Hallen, E., Tvungna Svangningar. Operationskalkyl, (Forced Ocillations, Operational Calculus, in Swedish), Erik Hallen, Stockholm, 1965.

    17. Kullstam, P. A., "Heaviside’s operational calculus: Oliver’s revenge," IEEE Trans. Education, Vol. 34, No. 2, 155-166, May 1991.

    18. Kullstam, P. A., "Heaviside’s operational calculus applied to electrical circuit problems," IEEE Trans. Education, Vol. 35, No. 4, 266-277, November 1992.

    19. Lindell, I. V., "Heaviside operational calculus in electromagnetic image theory," J. Electro. Waves Appl., Vol. 11, No. 1, 119-132, 1997.

    20. Lindell, I. V., K. I. Nikoskinen, and A. Viljanen, "Electrostatic image method for the anisotropic half space," IEE Proceedings, Science, Measurement & Technology, Vol. 144, No. 4, 156-163, July 1997.

    21. Pincherle, S., "Funktionaloperationen und-Gleichungen," Encyclopadie der Mathematischen Wissenschaften, Vol. 2, Part 1, 761-817, Teubner, Leipzig, 1916.

    22. Cooper, J. L. B., "Heaviside and the operational calculus," The Math. Gazette, Vol. 36, 5-19, 1952.

    23. Lutzen, J., "Heaviside’s operational calculus and the attempts to rigorize it," Arch. Hist. Exact Sci., Vol. 21, 161-200, 1979.

    24. Petrova, S. S., "Heaviside and the development of symbolic calculus," Arch. Hist. Exact Sci., Vol. 37, 1-23, 1987.

    25. Erdelyi, A., ed., Tables of Integral Transforms, Vol. 1, Bateman Manuscript Project, McGraw-Hill, New York, 1954.

    26. Doetsch, G., Anleitung zum Praktischen Gebrauch der Laplace-Transformation, 225-253, Oldenbourg, Munich, 1961.

    27. Abramowitz, M. and I. Stegun, Handbook of Mathematical Functions, Dover, New York, 1964.

    28. Hladik, J., La Transformation de Laplace a Plusieurs Variables, Masson, Paris, 1969.

    29. Dwight, H. B., Tables of Integrals and Other Mathematical Data, 4th Ed., Macmillan, New York, 1961.

    30. Gradshteyn, I. S. and I. M. Ryzhik, Tables of Integrals, Sums, Series and Products, 4th Ed., Academic Press, New York, 1980.

    31. Prudnikov, A. P., Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, Elementary Functions, Gordon and Breach, New York, 1986.

    32. Prudnikov, A. P., Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, Special Functions, Gordon and Breach, New York, 1986.

    33. Lindell, I. V., "Heaviside operational method for delta function sequences," J. Electro. Waves Appl., Vol. 12, 913-927, 1998.

    34. Lindell, I. V., Methods for Electromagnetic Field Analysis, 2nd Ed., Oxford University Press and IEEE Press, 1995.

    35. Harrington, R. F., Time-Harmonic Electromagnetic Fields, McGraw-Hill, New York, 1961.

    36. Maxwell, J. C., A Treatise on Electricity and Magnetism, Clarendon Press, Oxford, 1904. Original edition3rd Ed., , Vol. 1, 2, 1873.

    37. van der Pol, B., "A generalization of Maxwell’s definition of solid harmonics to waves in n dimensions," Physica, Vol. 3, No. 6, 393-397, June 1936.

    38. Erdelyi, A., "Zur Theorie der Kugelwellen," Physica, Vol. 4, No. 2, 107-120, February 1937.

    39. Bouwkamp, C. J. and H. B. G. Casimir, "On multipole expansions in the theory of electromagnetic radiation," Physica, Vol. 20, 539-554, 1954.

    40. Schwinger, J., L. L. DeRaad, K. A. Milton, and W. Tsai, Classical Electrodynamics, Perseus Books, Reading MA, 1998.

    41. Deschamps, G. A., "The Gaussian beam as a bundle of complex rays," Electron. Lett., Vol. 7, No. 23, 684-685, 1971.

    42. Rybner, J., "Om Heaviside’s operatorregning," Ingeniorn, No. 64, 1940 (in Danish).