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 35, Number 4

Publication Date: December 1968

Stopping times for recurrent stable processes

Sidney C. Port and Charles J. Stone; 663-670

Strengthening Alexander’s subbase theorem

G. E. Strecker, E. Wattel, H. Herrlich and J. de Groot; 671-676

Connected mappings

Paul E. Long; 677-682

A convolution product for the solutions of partial difference equations

R. J. Duffin and Joan Rohrer; 683-698

A generalized Weyl criterion

J. L. Brown, Jr. and R. L. Duncan; 699-705

Side approximations in crumpled cubes

W. T. Eaton; 707-719

On starlike and convex functions of order $\alpha$

Bernard Pinchuk; 721-734

A disk in $n$-space which lies on no $2$-sphere

R. C. Lacher; 735-738

Trigonometry in a hyperbolic space

Kyong T. Hahn; 739-745

A note on the generalized hypergeometric differential equation

J. L. Lavoie and G. Mongeau; 747-751

The generalized hypergeometric differential equation

L. Carlitz; 753-759

Operators on algebras of arithmetic functions

David Rearick; 761-766

The trigonometry of numbers

David Rearick; 767-776

An extension of hyperbolic geometry and Julia’s theorem

Joseph Lewittes; 777-782

Operational equations for a class of symmetric $q$-polynomials

Lois J. Reid; 783-798

Metric projections onto subspaces of finite codimension

Peter D. Morris; 799-808

On ergodicity and mixing in topological transformation groups

Harvey B. Keynes and James B. Robertson; 809-819

On zero type sets of Laguerre polynomials

J. W. Brown; 821-823

Some generating functions for Laguerre polynomials

L. Carlitz; 825-827

On a question of Wojdyslawski and Strother

Carlos J. R. Borges; 829-833

Counting polynomial functions $(\mod p^n)$

Gordon Keller and F. R. Olson; 835-838

A note on the Rogers-Ramanujan identities

L. Carlitz; 839-842

Locally algebraically independent collections of subsemigroups of a semigroup

C. E. Clark; 843-851

Commutators and the strong radical

Arlen Brown, Carl Pearcy and David Topping; 853-859

Existence-uniqueness theorems for non-linear Dirichlet problems

Dale W. Lick; 861-863

The Minkowski and Tchebychef inequalities as functions of the index set

H. W. McLaughlin and F. T. Metcalf; 865-873

Errata: Addendum to “Rings with noetherian spectrum,” vol. 35 (1968), pp. 631–639

Jack Ohm and R. L. Pendleton; 875

Errata: “Some notes on sequences which are similar or related to a Schauder basis,” vol. 35 (1968), pp. 1–7

Lee Baric; 875

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