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 32, Number 4

Publication Date: December 1965

Global properties of classical minimal surfaces

Robert Osserman; 565-573

A further generalization of the Schauder fixed point theorem

Felix E. Browder; 575-578

A functional-integral equation with applications to hyperbolic partial differential equations

A. K. Aziz; 579-592

The derivative and the integral of Banach-valued functions

Morteza Anvari; 593-596

Integral functions and Tauberian theorems

J. M. Anderson; 597-606

Non-oscillation criteria for $n$-${\rm th}$ order linear differential equations

Zeev Nehari; 607-615

Second order ordinary differential operators with general boundary conditions

Allan M. Krall; 617-625

The existence of expansive homeomorphisms on manifolds

William Reddy; 627-632

Linear and quadratic equations in a Galois field with applications to geometry

Eckford Cohen; 633-641

A note on polynomials generated by $A(t)\psi [xH(t)]$

J. L. Goldberg; 643-651

The Eilenberg-Borsuk duality theorem for metric spaces

Takeo Akasaki; 653-659

The structure of quasi-open maps

William P. Ziemer; 661-671

Some results concerning the union of flat cells

J. C. Cantrell; 673-677

Upper semi-continuous decompositions and factorization of certain non-continuous transformations

Melvin R. Hagan; 679-687

A class of monotone Riccati matrix differential operators

William T. Reid; 689-696

Inverse series relations and other expansions involving Humbert polynomials

H. W. Gould; 697-711

Note on some continued fractions of the Rogers-Ramanujan type

L. Carlitz; 713-720

Weighted two-line arrays

L. Carlitz; 721-739

Some continued fractions of the Rogers-Ramanujan type

Basil Gordon; 741-748

The distribution of values of a meromorphic function and a theorem of H. S. Wilf

Simon Hellerstein; 749-764

Errata: “A note on the average order of number-theoretic error terms,”vol. 32 (1965) pp. 279–284

Sanford L. Segal; 765

Errata: “An inequality for the Riemann zeta function,” vol. 32 (1965) pp. 247–250

Robert Spira; 765

Errata: “Rational approximations of algebraic irrationals by means of a modified Jacobi-Perron algorithm,” vol. 32 (1965) pp. 161–176

Leon Bernstein; 765