On the use of an exponential function in approximation of elliptic integrals
In the previous papers[1]–[3], nonlinear continuous functions could be well simulated by nonlinear resistance. Its mathematical basis came from the applicability of the fractional power approximation. From a view of using transistor-junction characteristics, the use of exponential functions will make it possible to have closed relations between given functions and transistor-junction characteristics. Hereby, in simulation of special functions, especially, of elliptic integrals, a form of approximation containing an exponential function is proposed, so that F(x, α)E (x, α)Π (x, α, n) ⋍ c0+c1x+c2epx, where F(x, α), E(x, α) and Π(x, α, n) are elliptic integrals of the first, second and third kinds in the Legendre's canonical form with their modular angles α and a parameter n. The same order of accuracy is obtained in the simulation of the elliptic integrals as they are approximated by the fractional powers.
Year of publication: |
1979
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Authors: | Kobayashi, Y. ; Ohkita, M. ; Inoue, M. |
Published in: |
Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 21.1979, 2, p. 226-230
|
Publisher: |
Elsevier |
Saved in:
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