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VI.—The Maximum Term of an Entire Series

Published online by Cambridge University Press:  14 February 2012

S. M. Shah  and
S. K. Singh
S. M. Shah
Affiliation:
Aligarh, India.
S. K. Singh
Affiliation:
Aligarh, India.
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Synopsis

The relation between the maximum term and the maximum modulus of an entire function is exhibited by means of general theorems and specific examples. Functions of zero order and of infinite order are mainly considered.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 64 , Issue 1 , 1953 , pp. 80 - 89
Copyright
Copyright © Royal Society of Edinburgh 1953

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References

REFERENCES TO LITERATURE

Pölya, G., and Szegó, G., 1925. Aufgaben und Lehrsätze aus der Analysis, II. Berlin.Google Scholar
Potter, H. S. A., 1942. “The mean values of dirichlet series”, Proc. Lond. Math. Soc, 47, 1–19.CrossRefGoogle Scholar
Shah, S. M., 1942. “The maximum term of an entire series”, Math. Student (Madras), 10, 80–82.Google Scholar
Shah, S. M., 1950 a. “The maximum term of an entire series IV”, Quart. J. Math. (Oxford Series), I, 112–116.CrossRefGoogle Scholar
Shah, S. M., 1950 b. “The maximum term of an entire series VI”, J. Indian Math. Soc, 14, 21–28.Google Scholar