Transactions of the AMS. Year 1931. Volume 033. Number 02.


Moderately thick circular plates with plane faces
H. W. Sibert
329-369


Note on the overconvergence of sequences of polynomials of best approximation
J. L. Walsh
370-388


Matrices of integers ordering derivatives
Joseph Miller Thomas
389-410


The effects of general regular transformations on oscillations of sequences of functions
Ralph Palmer Agnew
411-424


The discriminant matrix of a semi-simple algebra
C. C. MacDuffee
425-432


The integrability of a sequence of functions
R. L. Jeffery
433-440


On the interchange of limit and Lebesgue integral for a sequence of functions
T. H. Hildebrandt
441-443


Non-separated cuttings of connected point sets
G. T. Whyburn
444-454


Expansion theory associated with linear differential equations and their regular singular points
Leonard Bristow
455-474


Expansion problems associated with a system of integral equations
William T. Reid
475-485


On the derivatives of harmonic functions on the boundary
Oliver D. Kellogg
486-510

Abstract: L \phi (x,y)$ and the boundary values of U on E have continuous derivatives of order n which satisfy a Dini condition, then the partial derivatives of U of order n exist, as limits, on E, and are continuous in R at any interior point of E. Hölder conditions on the boundary values of U, or on their derivatives of order n, imply Hölder conditions on U, or the corresponding derivatives, in R, in the neighborhood of the interior points of E.


On the Pad\'e approximants associated with a positive definite power series
H. S. Wall
511-532


A proof of the generalized second-limit theorem in the theory of probability
M. Fréchet; J. Shohat
533-543


A certain type of continuous curve and related point sets
P. M. Swingle
544-556


The geometric configuration defined by a special algebraic relation of genus four
Frances Harshbarger
557-578


The theory of multiplicative arithmetic functions
R. Vaidyanathaswamy
579-662