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A note on Hölder's theorem concerning the gamma function

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References

  1. Bank, S., Kaufman, R.: An extension of Hölder's theorem concerning the Gamma function. Funkcialaj Ekvacioj19, 53–63 (1976)

    Google Scholar 

  2. Bourbaki, N.: Algèbre, Chapt. IV-V. Éléments de Mathématique, Livre II. Paris: Hermann 1950

    Google Scholar 

  3. Hausdorff, F.: Zum Hölderschen Satz über Γ(z). Math. Ann.94, 244–247 (1925)

    Google Scholar 

  4. Hölder, O.: Über die Eigenschaft der Γ-Funktion, keiner algebraischen Differentialgleichung zu genügen. Math. Ann.28, 1–13 (1887)

    Google Scholar 

  5. Levin, B.: A generalization of the theorem of Hölder on the hypertranscendence of Γ(x). Rostov.-na-Donu Gos. Univ. Ucen. Zap.1, 79–98 (1934) (Russian)

    Google Scholar 

  6. Moore, E.: Concerning transcendentally transcendental functions. Math. Ann.48, 49–74 (1897)

    Google Scholar 

  7. Nevanlinna, R.: Le théorème de Picard-Borel et la théorie des fonctions méromorphes. Paris: Gauthier-Villars 1929

    Google Scholar 

  8. Ostrowski, A.: Neuer Bewwis des Hölderschen Satzes, daß die Γ-Funktion keiner algebraischen Differentialgleichung genügt. Math. Ann.79, 286–288 (1919)

    Google Scholar 

  9. Ostrowski, A.: Zum Hölderschen Satz über Γ(x). Math. Ann.94, 248–251 (1925)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois, 61801, Urbana, Ill, USA

    Steven B. Bank & Robert P. Kaufman

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  1. Steven B. Bank
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  2. Robert P. Kaufman
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The work of this author was supported in part by the National Science Foundation (MCS76-07214)

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Bank, S.B., Kaufman, R.P. A note on Hölder's theorem concerning the gamma function. Math. Ann. 232, 115–120 (1978). https://doi.org/10.1007/BF01421399

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