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On a criterion for Siegel’s hypergeometric functions to belong. to the class of E-functions. (English. Russian original) Zbl 0456.10017
Math. Notes 29, 3-8 (1981); translation from Mat. Zametki 29, 3-14 (1981).

##### MSC:
 11J81 Transcendence (general theory) 33C60 Hypergeometric integrals and functions defined by them ($$E$$, $$G$$, $$H$$ and $$I$$ functions)
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##### References:
 [1] C. L. Siegel, ?über einige Anwendungen diophantischer Approximationen,? Abhandl. Preuss. Ak’ad. Wiss., Phys.-Math. Kl.,1, 1-70 (1929). · JFM 56.0180.05 [2] C. L. Siegel, Transcendental Numbers, Princeton Univ. Press, Princeton (1949). [3] A. B. Shidlovskii, ?The arithmetic properties of the values of analytic functions,? Tr. Mat. Inst. Akad. Nauk SSSR,132, 169-202 (1973). · Zbl 0288.10012 [4] V. G. Sprindzhuk, ?Irrationality of the values of some transcendental functions,? Izv. Akad. Nauk SSSR, Ser. Mat.,32, No. 1, 93-107 (1968). [5] V. G. Sprindzhuk, ?On the theory of Siegel’s hypergeometric functions,? Dokl. Akad. Nauk BSSR,13, No. 5, 389-391 (1969). · Zbl 0223.10022 [6] A. I. Galochkin, ?The arithmetic properties of the values of some entire hypergeometric functions,? Sib. Mat. Zh.,17, No. 6, 1220-1235 (1976).
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