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 36, Number 3

#### Publication Date: September 1969

Complementing pairs of subsets of the plane

Rodney T. Hansen; 441-449

$O\sp{N}$-approximable and holomorphic functions on complex spaces

Yum-Tong Siu; 451-454

On the coefficients of typically real functions

K. G. Binmore and W. E. Kirwan; 455-464

Functions over finite fields preserving $m$-${\rm th}$ powers

Robert McConnel; 465-472

Certain sets of involutary matrices and their groups

Joel V. Brawley; 473-478

Exposed points in spaces of bounded analytic functions

Stephen Fisher; 479-484

A complete cyclotomic theory for Z_{p_{0}p_{1}}$Thomas Storer; 485-493 Expansions in series of homogeneous temperature functions of the first and second kinds D. V. Widder; 495-509 Transformations on partitioned matrices J. de Pillis; 511-515 Some canonical domains in$C\sp{n}$and moment of inertia theorems Teruo Tsuboi and Syozo Matsuura; 517-536 Deformations of Fuchsian groups Irwin Kra; 537-546$L\sb{p}$averages and the nonlinear renewal equation Bruce Henry; 547-558 Connectivity, semi-continuity, and the Darboux property Jack B. Brown; 559-562 An application of an estimate of the Riemann mapping function for certain star-shaped domains J. R. Cannon; 563-565 On the asymptotic values of a holomorphic function with non-vanishing derivative J. E. McMillan; 567-570 On fake Souslin trees F. B. Jones; 571-573 Enumeration of permutations of$(1,\dotsc,n)$by number of maxima R. C. Entringer; 575-579 Analytic functions of an infinite number of complex variables C. E. Rickart; 581-597 A necessary and sufficient condition for univalence of a meromorphic function Dov Aharonov; 599-604 Identities from graphs R. C. Mullin and R. G. Stanton; 605-608 A strong homotopy equivalence and extensions for Hurewicz fibrations Patricia Tulley; 609-619 Universal classes in infinitary languages Jerome Malitz; 621-630 Remarks on universal sentences of$L_{\omega_{1},\omega}\$

Jon Barwise; 631-637