Hölder's theorem

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In mathematics, Hölder's theorem states that the gamma function does not satisfy any algebraic differential equation whose coefficients are rational functions. The result was first proved by Otto Hölder in 1887; several alternative proofs have subsequently been found.

The theorem also generalizes to the q-gamma function.

[edit] References

• Bank, Steven B. & Kaufman, Robert P. "A Note on Hölder's Theorem Concerning the Gamma Function". Mathematische Annalen, vol 232, 1978.