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 31, Number 3

Publication Date: September 1964

Two element lattice permutation numbers and their $q$-generalization

L. Carlitz and J. Riordan; 371-388

Generalizations of an inequality of Hardy

N. Levinson; 389-394

Parametrization of automorphic forms for the Hecke groups $G(\surd 2)$ and $G(\surd 3)$

John Roderick Smart; 395-403

Normal elliptic integrals of the first and second kinds

B. C. Carlson; 405-419

The pseudo-arc as an inverse limit with one binding map

George W. Henderson; 421-425

Nonabsorption probability for a Gaussian process in the Karhunen representation

J. Chover; 427-443

A certain functional-difference equation

J. A. Morrison; 445-448

A functional-difference equation

L. Carlitz; 449-453

Sums of projections

Joseph G. Stampfli; 455-461

Continuous flows with closed orbits

Ta-Sun Wu; 463-469

Generalized Hilbert kernels

Lucio Artiaga; 471-478

The numerical range of a normal operator

S. K. Berberian; 479-483

Some explicit inequalities for uniformly elliptic operators

L. E. Payne; 485-489

Taming complexes in hyperplanes

R. H. Bing and J. M. Kister; 491-511

A structure of the Rayleigh polynomial

Nand Kishore; 513-518

Congruences for Genocchi numbers

J. M. Gandhi; 519-527

Relative group extensions and kernels

D. R. Ostberg; 529-537

Isometries in $G$-spaces

W. A. Kirk; 539-541

The infinite sum of closed subspaces of an $F$-space

William H. Ruckle; 543-554

Compact dual semigroups without nilpotent ideals

Katsumi Numakura; 555-573

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