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 4

Publication Date: December 1942

Quasi-analyticity and properties of flatness of entire functions

S. Mandelbrojt; 647-661

Functions of bounded type

Audrey Wishard; 663-676

Differentials and analytic continuation in non-commutative algebras

R. W. Wagner; 677-691

Some theorems on double trigonometric series

George E. Reves and Otto Szász; 693-705

Integral formulas in Crofton’s style on the sphere and some inequalities referring to spherical curves

L. A. Santaló; 707-722

Related genera of quadratic forms

Burton W. Jones; 723-756

A property of pseudo-conformal transformations in the neighborhood of boundary points

Stefan Bergman and D. C. Spencer; 757-762

Continued fractions with complex elements

Walter Leighton and W. J. Thron; 763-772

Effective parameters

Arthur B. Brown; 773-789

Asymptotic developments of certain integral functions

Cleota G. Fry and H. K. Hughes; 791-802

The absolute convergence of Fourier series

Min-Teh Cheng; 803-810

The calculus of variations in abstract spaces

H. H. Goldstine; 811-822

The point of inflexion of a plane curve

Su-Cheng Chang; 823-832

The singularity $S_1^m$ of a plane curve

Su-Cheng Chang; 833-845

The growth of solutions of a differential equation

Mary L. Boas, R. P. Boas, Jr. and Norman Levinson; 847-853

The influence of gaps on density of integers

R. Salem and D. C. Spencer; 855-872

Affine geometry of vector spaces over rings

C. J. Everett; 873-878

A theorem of Cartwright

R. P. Boas, Jr. and A. C. Schaeffer; 879-883

Some geometric inequalities

Willy Feller; 885-892

A partial solution of a problem of J. R. Kline

Dick Wick Hall; 893-901