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DISTRIBUTION OF ROOTS OF CUBIC EQUATIONS

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In this note the distribution of roots of cubic equations in contrast to 0is given, which is useful to discuss eigenvalues for qualitative properties of differential equations.

Abstract

In this note the distribution of roots of cubic equations in contrast to 0is given, which is useful to discuss eigenvalues for qualitative properties of differential equations.

참고문헌 (6)

  1. J. Babini, "Graphical determination of real and complex roots of cubic equations, in Spanish", An. Soc. Ci. Argentina, 134, pp.309~ (1942)
  2. F.I. Fedorov, "Approximate formulas for roots of cubic equations: The irreducible case, in Russian", Dokl. Akad. Nauk Belarusi, 38(6), pp.5~8 (1994)
  3. G. Henriquez, "Questions, discussions, and notes: The graphical interpretation of the complex roots of cubic equations", Amer. Math. Monthly, 42(6), pp.383~384 (1935)
  4. V.I. Lebedev, "On formulae for roots of cubic equation", Soviet J. Numer. Anal. Math. Modelling, 6(4), pp.315~324 (1991)
  5. J.P. McKelvey, "Simple transcendental expressions for the roots of cubic equations", Amer. J. Phys, 52(3), pp.269~270 (1984)
  6. L.L. Pennisi, "A Method for finding the real roots of cubic equations by using the slide rule", Math. Mag, 31(4), pp.211~214 (1958)

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