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On the zeros of polynomials of Jacobian elliptic functions

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Ukrainian Mathematical Journal Aims and scope

Abstract

An estimate of the number of zeros of the function F(r)=P(r, sn r), where P(X, Y) εC[X,Y], and sn z is the Jacobian elliptic function, is obtained.

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References

  1. E. Reyssat, “Algebraic approximation of numbers associated with elliptic and exponential functions,” Bull. Soc. Math. France,108, No. 1, 47–49.

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Authors and Affiliations

  1. Lviv University, USSR

    Ya. M. Kholyavka

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  1. Ya. M. Kholyavka
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 11, p. 1624, November, 1992.

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Kholyavka, Y.M. On the zeros of polynomials of Jacobian elliptic functions. Ukr Math J 44, 1497 (1992). https://doi.org/10.1007/BF01071528

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  • DOI: https://doi.org/10.1007/BF01071528

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