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 13, Number 3

Publication Date: September 1946

A certain class of multiplicative functions

R. A. Rankin; 281-306

Integral transforms

Harry Pollard; 307-330

Expansion of functions in combinations of generalized hypergeometric functions

Leonard Bristow; 331-344

An extension of Carlson’s theorem

R. Creighton Buck; 345-349

Absolute and unconditional convergence in Banach spaces

M. E. Munroe; 351-365

Singular perturbations of non-linear oscillations

K. O. Friedrichs and W. R. Wasow; 367-381

The biratio of the altitudes of a tetrahedron

N. A. Court; 383-386

Limits for the characteristic roots of a matrix

Alfred Brauer; 387-395

A note on the number theory of quaternions

Ivan Niven; 397-400

An involutorial space transformation associated with a $Q_{1,n}$ congruence

M. L. Vest; 401-409

A self-adjoint differential system of even order

Hyman J. Zimmerberg; 411-417

Classes of solutions of linear partial differential equations in three variables

Stefan Bergman; 419-458

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