On the Asymptotic Approximation to Integral Functions of Zero Order

J. E. Littlewood

Type: Article

Publication Date: 1907-01-01

Citations: 34

DOI: https://doi.org/10.1112/plms/s2-5.1.361

Abstract

The standard function of finite order p (p < 1) ia n (1 +za" 1/ ' > ).When p = 0 this form does not exist, and we introduce the function <p (n) to replace, to some extent, the constant 1/p.* This example was given to me by one of the referees.It is due to Borel.t This is an example of a theory which I propose to develop in another paper.X Mr. Hardy has given examples of functious of finite order with the above property, ZYoc.

Locations

Proceedings of the London Mathematical Society - View
Zenodo (CERN European Organization for Nuclear Research) - View - PDF

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