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On a class of infinite products

Published online by Cambridge University Press:  24 October 2008

S. Verblunsky
S. Verblunsky
Affiliation:
Queen's University, Belfast
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Extract

1. Introduction. In this note, we consider some estimates for the modulus of infinite products of the form

where the lv are near to an arithmetic progression of common difference unity. In a subsequent note, an application will be given of these estimates to the study of a class of Cauchy exponential series which includes, as a special case, the series of Korous(l).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 4 , October 1964 , pp. 847 - 854
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

(1)Korous, J.On a generalization of Fourier series. Časopis Pěst. Mat. 71 (1946), 1–15.CrossRefGoogle Scholar
(2)Levin, V.O funkcyah konečnoǐ stepeni, ograničennyh na posledovatel'nosti toček. Dokl. Akad. Nauk SSSR, 65 (1949), 265–268.Google Scholar