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 30, Number 1

Publication Date: March 1963

Quasi-topologies

E. Spanier; 1-14

Some arithmetic properties of a special sequence of polynomials in the Gaussian field

L. Carlitz; 15-24

Some theorems concerning the dual of a commutative semigroup

Mario Petrich; 25-32

Some almost polyhedral wild arcs

W. R. Alford and B. J. Ball; 33-38

The integral of a generalized almost periodic function

Raouf Doss; 39-46

A definite integral

S. C. Tang; 47-50

Double Euler transformations of certain hypergeometric functions

N. Abdul-Halim and W. A. Al-Salam; 51-62

Locally one-to-one mappings and a classical theorem on schlicht functions

G. H. Meisters and C. Olech; 63-80

Invariant means and invariant matrix methods of summability

Ralph A. Raimi; 81-94

Sums of series involving Bessel coefficients

E. W. Paul; 95-100

The integration of the generalized derivatives

C. Kassimatis; 101-105

Infinite series and nonnegative valued interval functions

William D. L. Appling; 107-111

A note on a paper of Ginsburg

Oscar E. Lanford, III; 113-116

The stability of finite difference approximations to second order linear parabolic differential equations

D. G. Aronson; 117-127

Convolution operators and $L(p,q)$ spaces

Richard O’Neil; 129-142

The segmental variation of Blaschke products

G. T. Cargo; 143-149

The Cesari-Cavalieri area of a surface

R. E. Fullerton; 151-160

Automorphisms of abelian groups induced by involutory matrices, modulo $p > 2$

Jack Levine and Robert R. Korfhage; 161-170

Lower bounds for the maximum moduli of certain classes of trigonometric sums

D. R. Anderson and J. J. Stiffler; 171-176