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Bank, Steven B.; Kaufman, Robert P.

A note on Hölder’s theorem concerning the Gamma function. (English) Zbl 0354.33001

Math. Ann. 232, 115-120 (1978).
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Cited in 15 Documents

MSC:

33B10 Exponential and trigonometric functions
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\textit{S. B. Bank} and \textit{R. P. Kaufman}, Math. Ann. 232, 115--120 (1978; Zbl 0354.33001)
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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) · Zbl 0346.33001
[2] Bourbaki, N.: Algèbre, Chapt. IV-V. Éléments de Mathématique, Livre II. Paris: Hermann 1950
[3] Hausdorff, F.: Zum Hölderschen Satz über ?(z). Math. Ann.94, 244-247 (1925) · JFM 51.0276.05
[4] Hölder, O.: Über die Eigenschaft der ?-Funktion, keiner algebraischen Differentialgleichung zu genügen. Math. Ann.28, 1-13 (1887) · JFM 18.0440.02
[5] Levin, B.: A generalization of the theorem of Hölder on the hypertranscendence of ?(x). Rostov.-na-Donu Gos. Univ. Ucen. Zap.1, 79-98 (1934) (Russian)
[6] Moore, E.: Concerning transcendentally transcendental functions. Math. Ann.48, 49-74 (1897) · JFM 27.0307.01
[7] Nevanlinna, R.: Le théorème de Picard-Borel et la théorie des fonctions méromorphes. Paris: Gauthier-Villars 1929
[8] Ostrowski, A.: Neuer Bewwis des Hölderschen Satzes, daß die ?-Funktion keiner algebraischen Differentialgleichung genügt. Math. Ann.79, 286-288 (1919) · JFM 46.0567.02
[9] Ostrowski, A.: Zum Hölderschen Satz über ?(x). Math. Ann.94, 248-251 (1925) · JFM 51.0276.06
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