An arithmetic property of the Taylor coefficients of analytic functions with an application to transcendental numbers
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- by Vichian Laohakosol PDF
- Proc. Amer. Math. Soc. 93 (1985), 212-214 Request permission
Abstract:
We extend a result of Popken concerning the numerators of the Taylor coefficients of algebraic functions and combine it with a result of Mahler on lacunary power series to prove an extension of a special case of a result of Cohn on the transcendence of functional values of lacunary power series evaluated at rational points.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 212-214
- MSC: Primary 11J81; Secondary 30B10
- DOI: https://doi.org/10.1090/S0002-9939-1985-0770521-2
- MathSciNet review: 770521