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 26, Number 4
Publication Date: December 1959
Functions with positive real part and Schlicht functions
S. D. Bernardi; 541-548
A theorem on the measurability of group-invariant operators
I. E. Segal; 549-552
The vanishing of the homogeneous product sum of the roots of a cubic
Morgan Ward; 553-562
Relations among the minors of a matrix with dominant principal diagonal
J. L. Brenner; 563-567
The numbers generated by ${\rm exp}({\rm arctan} x)$
Richard Kelisky; 569-581
Some arithmetic properties of a special sequence of polynomials
L. Carlitz; 583-590
Expansions in series of homogeneous polynomial solutions of the two-dimensional wave equation
D. V. Widder; 591-598
Expansions in series of homogeneous polynomial solutions of the general two-dimensional linear partial differential equation of the second order with constant coefficients
D. V. Widder; 599-603
The analogue for maximally convergent polynomials of Jentzsch’s theorem
J. L. Walsh; 605-616
Positive definite sequences and absolutely monotonic functions
Walter Rudin; 617-622
The greatest distance between two characteristic roots of a matrix
Alfred Brauer and A. C. Mewborn; 653-661
Investigation concerning positive definite continued fractions
J. S. MacNerney; 663-677
The denseness of the extreme points of the generalized resolvents of a symmetric operator
Richard C. Gilbert; 683-691
Correction to “Kernel functions and eigenfunction expansions”
Edward Nelson; 697-698
Errata: “The square root set of a simple basic set of polynomials, vol. 25 (1958), pp. 177–180
M. N. Mikhail; 707
Errata: Polynomial $3$-cocycles over fields of characteristic $p$,” vol. 26 (1959), pp. 269–275
Robert Heaton; 707
Errata: “An extension of E. Hopf’s maximum principle with an application to Riemannian geometry,” vol. 25 (1958), pp. 45–56
E. Calabi; 707
Errata: “Bernoulli and Euler numbers and orthogonal polynomials,” vol. 26 (1959), pp. 1–15
L. Carlitz; 707
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