On the analytic continuation of functions defined by regrouped power series |
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Authors: | V A Belyaev |
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Institution: | 1. Kaluga Branch, N. E. Bauman Moscow Higher Technical School, USSR
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Abstract: | We consider functions defined by regrouped power series \(f(z) = \sum\nolimits_{n = 0}^\infty z ^{\lambda _{n_{P_{k_n } } } } (z)\) in the disk |z|<1 and also in some domain D outside of this disk. We obtain conditions under whichf(z) is analytically continuable outside of the disk |z|<1, the analytic continuation being effected with the help of the given series. We also consider the analytic continuability of functionsf(z, w). |
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