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 27, Number 4
Publication Date: December 1960
Differentiability and analyticity of functions in linear algebras
Anthony Trampus; 431-441
Some orthogonal polynomials related to elliptic functions
L. Carlitz; 443-459
Division rings containing a real closed field
Murray Gerstenhaber and C. T. Yang; 461-465
Permutations with comparable sets of invariant means
David Dean and Ralph A. Raimi; 467-479
New cases of irreducibility for Legendre polynomials. II
J. H. Wahab; 481-482
Determination of certain roots of unity in the theory of automorphic forms of dimension zero
Marvin Isadore Knopp; 497-506
Some embeddings, recurrence properties, and the Birkhoff-Markov theorem for transformation groups
F. J. Hahn; 513-525
Light open maps on $n$-manifolds
Philip T. Church and Erik Hemmingsen; 527-536
Multiplication formulas for generalized Bernoulli and Euler polynomials
L. Carlitz; 537-545
Bounds for the maximal characteristic root of a non-negative irreducible matrix
Alexander Ostrowski and Hans Schneider; 547-553
Widder’s inversion formula for the Lambert transform
W. B. Pennington; 561-568
Positive definite functions and induced representations
L. H. Loomis; 569-579
Asymptotic expansion of double Fourier transforms
R. J. Duffin and D. H. Shaffer; 581-596
The vanishing of the homogeneous product sum on three letters
Morgan Ward; 619-624
Errata: “Note on the class number of quadratic fields,” vol. 22 (1955), pp. 589–594
L. Carlitz; 629
Duke Mathematical Journal