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 15, Number 4

Publication Date: December 1948

Integral valued entire functions

R. Creighton Buck; 879-891

The theory of linear differential systems based upon a new definition of the adjoint

G. J. Haltiner; 893-920

Diophantine systems suggested by Bhascara’s problem

E. Rosenthall; 921-928

Dualities of finite projective planes

Richard William Ball; 929-940

The law of repetition of primes in an elliptic divisibility sequence

Morgan Ward; 941-946

Generalized Laplacians of higher order

D. H. Potts; 947-951

An upper bound for the Gontcharoff constant

R. P. Boas, Jr.; 953-954

Metric methods in linear inequalities

Leonard M. Blumenthal; 955-966

The quotient of exponential polynomials

Peter D. Lax; 967-970

Bases in Banach spaces

S. Karlin; 971-985

$q$-Bernoulli numbers and polynomials

L. Carlitz; 987-1000

Finite sums and interpolation formulas over $GF[p^n,x]$

L. Carlitz; 1001-1012

Some properties of summation kernels

Richard Bellman; 1013-1019

Finiteness properties of groups

Reinhold Baer; 1021-1032

Analytic functions possessing a positive real part

Zeev Nehari; 1033-1042

Bounds for characteristic roots of matrices

Olga Taussky; 1043-1044

The regularity domains of solutions of linear partial differential equations in terms of the series development of the solution

Benham M. Ingersoll; 1045-1056

Sur un théorème de Banach

J. Dixmier; 1057-1071

Oscillation theorems for self-adjoint boundary value problems

Morris J. Gottlieb; 1073-1091

The third iterate of the Laplace transform

Edwin J. Akutowicz; 1093-1132