VIII. On operations in physical mathematics. Part II

  title={VIII. On operations in physical mathematics. Part II},
  author={Oliver Heaviside},
  journal={Proceedings of the Royal Society of London},
  pages={105 - 143}
  • O. Heaviside
  • Mathematics
  • Proceedings of the Royal Society of London
27. As promised in 22, Part I ('Roy. Soc. Proc.,’ vol. 52, p. 504), I will now first show how the formulae for the Fourier-Bessel function in rising and descending powers of the variable may be algebraically harmonized, without analytical operations. The algebraical conversion is to be effected by means of the generalized exponential theorem, 20. It was, indeed, used in 22 to generalize the ascending form of the function in question; but that use was analytical. At present it is to be… 
Successive discoveries of the Heaviside expansion theorem
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K/sub /spl infin// generalized functions
  • A. Davis
  • Computer Science
    Proceedings of ISCAS'95 - International Symposium on Circuits and Systems
  • 1995
The theory presented is sufficiently general to encompass all singularity functions of the impulsive type without the need for abstract mathematics to solve lumped linear circuits and other differential systems without leaving the time domain.
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