Volume Elements, Holomorphic Mappings and Schwarz's Lemma 253

By SHOSHICHI KOBAYASHI

Limits of Polynomials Whose Zeros Lie in a Given Set 261

By JACOB KOREVAAR

Discrete Sets of Uniqueness for Bounded Holomorphic Functions J\z, w) 273

By JACOB KOREVAAR AND SIMON HELLERSTEIN

Noncontinuous Indicators for Entire Functions of n ^ 2 Variables and 285

of Finite Order

By P. LELONG

Differential Equations of Infinite Order, Hyperdirichlet Series 298

and Entire Functions of Bounded Index

By BENJAMIN LEPSON

Equilibrium Distributions of Charge on Curves 308

and Locally Convergent Sequences of Polynomials

By T. L. MCCOY

A Parabolic Riemannian Ball 341

By MITSURU NAKAI AND LEO SARIO

Principal Fields, Semifields and Forms on Riemannian Spaces 350

By MITSURU NAKAI AND LEO SARIO

Fischer Spaces of Entire Functions 360

By D. J. NEWMAN AND H. S. SHAPIRO

Extremal Length and Geometric Inequalities 370

By BURTON RODIN

On the Growth of Entire Functions Along Half Rays 377

By W. J. SCHNEIDER

Trigonometric Series with Nonnegative Partial Sums 386

By S. M. SHAH

About Entire and Meromorphic Functions of Exponential Type 392

By WILLIAM STOLL

Some Locally Convex Spaces of Entire Functions 431

By B. A. TAYLOR

The Fields of Quotients of Some Rings of Entire Functions 468

By B. A. TAYLOR

On the Distribution of Asymptotically Neutral Families 475

By MAYNARD THOMPSON

Mappings of Riemann Surfaces (Nevanlinna Theory) 480

By H.

WU

Problems and Solutions 533

Edited by LEON EHRENPREIS

Author Index 547

Subject Index 550

VI