Abstract
Recent progress in the Julia-Fatou theory of iteration of entire and meromorphic functions throws new insight in the global iterative solution of elementary transcendental equations which occur frequently in the boundary conditions of Sturm-Liouville problems resulting from the separation of variables of boundary value problems for partial differential equations. A particular example is treated in detail by iterating an elementary entire function and its inverse to obtain any root in a preassigned order according to the fundamental regions of the given entire function.
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© 1988 Springer Basel AG
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Doual, N., Howland, J.L., Vaillancourt, R. (1988). Global Iterative Solutions of Elementary Transcendental Equations. In: Agarwal, R.P., Chow, Y.M., Wilson, S.J. (eds) Numerical Mathematics Singapore 1988. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 86. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6303-2_11
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DOI: https://doi.org/10.1007/978-3-0348-6303-2_11
Publisher Name: Birkhäuser, Basel
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Online ISBN: 978-3-0348-6303-2
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