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 8, Number 4

Publication Date: December 1941

An application of the classical orthogonal polynomials to the theory of interpolation

H. N. Laden; 591-610

Young’s semi-normal representation of the symmetric group

R. M. Thrall; 611-624

Periodic types of transformations

D. W. Hall and J. L. Kelley; 625-630

A partition function connected with the modulus five

Joseph Lehner; 631-655

Inequalities for trigonometric integrals

Paul Civin; 656-665

The function of mean concentration of a chance variable

Tatsuo Kawata; 666-677

The singularities of Cauchy’s distributions

Aurel Wintner; 678-681

Continua of finite sections

O. G. Harrold, Jr.; 682-688

The coefficients of the reciprocal of a series

L. Carlitz; 689-700

Certain quantities transcendental over $GF(p^n,x)$

L. I. Wade; 701-720

The sum of the divisors of a polynomial

E. F. Canaday; 721-737

The canonical lines

Chuan-Chih Hsiung; 738-742

A principle of Jessen and general Fubini theorems

Nelson Dunford and J. D. Tamarkin; 743-749

Division algebras over a function field

A. A. Albert; 750-762

A property of Banach spaces

Mahlon M. Day; 763-770