Duke Mathematical Journal

Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. Without specializing in a small number of subject areas, it emphasizes the most active and influential areas of current mathematics.


Volume 9, Number 2

Publication Date: June 1942

The asymptotic forms of the solutions of an ordinary linear matric differential equation in the complex domain

Homer E. Newell, Jr.; 245-258

A self-reciprocal function

R. S. Varma; 259-261

The structure of the group of $\mathfrak{P}$-adic $1$-units

David Gilbarg; 262-271

An explicit formula for the solution of the ultrahyperbolic equation in four independent variables

Glynn Owens; 272-282

Generalized arithmetic

Garrett Birkhoff; 283-302

Maximal fields with valuations

Irving Kaplansky; 303-321

Algebraic properties of certain matrices over a ring

Neal H. McCoy; 322-340

Central chains of ideals in an associative ring

S. A. Jennings; 341-355

Generalized “sandwich” theorems

A. H. Stone and J. W. Tukey; 356-359

The continued fraction as a sequence of linear transformations

J. Findlay Paydon and H. S. Wall; 360-372

Some properties of summability

J. D. Hill; 373-381

A general equation for relaxation oscillations

Norman Levinson and Oliver K. Smith; 382-403

The divergence of non-harmonic gap series

Philip Hartman; 404-405

Influence of the signs of the derivatives of a function on its analytic character

R. P. Boas, Jr. and G. Pólya; 406-424

The distribution of primes

Aurel Wintner; 425-430

Parametric solutions of certain Diophantine equations

E. T. Bell; 431-435

The double-$N_n$ configuration

Arthur B. Coble; 436-449

A particular set of ten points in space

Arthur B. Coble; 450-453

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