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A weakened asymptotic monogeny condition |
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| Authors: | D S Telyakovskii |
| Institution: | (1) Moscow State Institute for Physical Engineering, USSR |
| Abstract: | Functions of one complex variable that satisfy a weakened asymptotic monogeny condition are proved to be holomorphic. Translated fromMatematicheskie Zametki, Vol. 60, No. 6, pp. 902–911, December, 1996. The author thanks Proffessor Dolzhenko for discussing the results of the paper. The research was supported by the Russian Foundation for Basic Research under grant No. 93-01-00236. |
| Keywords: | Men'shov's theorem on asymptotically monogenic functions holomorphic functions subharmonic function |
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