Conjectures on the Taylor series expansion coefficients of the Jacobian elliptic function
Author:
Arne FransΓ©n
Journal:
Math. Comp. 37 (1981), 475494
MSC:
Primary 33A25
MathSciNet review:
628708
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Abstract: Two conjectures are posed for the coefficients introduced by Alois Schett in the Taylor series expansion of the Jacobian elliptic function . The first conjecture is furnished with a proof revealing a procedure which might be useful when calculating further coefficients. Some of the coefficients are tabulated.
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 A. Schett, "Properties of the Taylor series expansion coefficients of the Jacobian elliptic functions," Math. Comp., v. 30, 1976, pp. 143147. MR 0391477 (52:12298)
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 A. Schett, Addendum to "Properties of the Taylor series expansion coefficients of the Jacobian elliptic functions," Math. Comp., v. 31, 1977, Microfiche supplement.
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 A. Schett, "Recurrence formula of the Taylor series expansion coefficients of the Jacobian elliptic functions," Math. Comp., v. 31, 1977, pp. 10031005. MR 0442301 (56:687)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0025571819810628708X
PII:
S 00255718(1981)0628708X
Keywords:
Elliptic functions
Article copyright:
© Copyright 1981
American Mathematical Society
