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An extension of Hölder's theorem on the Gamma function

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Publication:1355259
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DOI10.1007/BF02774035zbMath0901.46023WikidataQ56812628 ScholiaQ56812628MaRDI QIDQ1355259

Chris Miller

Publication date: 7 September 1998

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Euler's gamma functionintegral domainHölder's theoremring of continuous real-valued functionsdifferential ringquasi-analyticdifferentially transcendentalJFM 18.0440.02


Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Differential algebra (12H05) Rings and algebras of continuous, differentiable or analytic functions (46E25)


Related Items

Correction to On the real exponential field with restricted analytic functions



Cites Work

  • Unnamed Item
  • A note on Hölder's theorem concerning the Gamma function
  • On the real exponential field with restricted analytic functions
  • Expansions of the real field with power functions
  • Extending Tamm's theorem
  • Correction to On the real exponential field with restricted analytic functions
  • The Rank of a Hardy Field
  • A generalization of the Tarski-Seidenberg theorem, and some nondefinability results
  • Infinite Differentiability in Polynomially Bounded O-Minimal Structures
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