Abstract
For any analytic function f on a Riemann surface S, S. Saitoh and M. Mori gave a new and good formula representing f on a large simply-connected domain containing any given point p ∈ S in terms of the Taylor coefficients of f around any fixed point p 0 ∈ S, by using some Riemann mapping function. In this paper, on typical simply-connected domains, concrete representation formulas and truncation error estimates in the representations by means of the Taylor series of f around p 0 are given.
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References
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© 2001 Springer Science+Business Media Dordrecht
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Amano, K., Asaduzzaman, M., Ooura, T., Saitoh, S. (2001). Representations of Analytic Functions on Typical Domains in Terms of Local Values and Truncation Error Estimates. In: Saitoh, S., Hayashi, N., Yamamoto, M. (eds) Analytic Extension Formulas and their Applications. International Society for Analysis, Applications and Computation, vol 9. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3298-6_2
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DOI: https://doi.org/10.1007/978-1-4757-3298-6_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4854-0
Online ISBN: 978-1-4757-3298-6
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