Nuclear magnetic resonance (NMR) spectroscopy was used to study exchange of three distinctly different molecules across the membranes of human red blood cells (RBCs). In studying water, t-butanol, and dimethyl sulfoxide we exploited the marked differences in the apparent diffusion coefficients of these species inside and outside the cells in suspensions. The measurements were made with diffusio...

Abstract In this paper, we study local approximation properties of certain gamma-type operators. They generalize the Post–Widder operators and Rathore operators, approximate locally integrable functions satisfying a growth condition on infinite interval $$[0,\infty )$$ [ 0 , <...

It is the fundamental principle of semigroup theory that the behavior of a strongly continuous semigroup (T (t))t≥0 on a Banach space X and the properties of its generator (A,D(A)), or equivalently the properties of the resolvent function R(λ,A) = (λ − A)−1 (λ ∈ C), should closely correlate. Indeed, the Laplace transform carries the regularity properties of the semigroup to the resolvent functi...

for all sufficiently large \z\. The following three theorems were proved respectively by D. V. Widder [4], I. J. Schoenberg [2], and H. Poritsky [l] and J. M. Whittaker [3]. THEOREM 1. (Widder.) If a real f unction f (z), of class C ° ° w 0 ^ x ^ l , satisfies the condition (2) ( l)*/ (*) è O , 0 ^ x S 1; n = 0, 1, 2, • • • , then f (x) coincides on (0, 1) with an entire function of exponential...

This paper reviews the Fourier-series method for calculating cumulative distribution functions (cdf’s) and probability mass functions (pmf’s) by numerically inverting characteristic functions, Laplace transforms and generating functions. Some variants of the Fourier-series method are remarkably easy to use, requiring programs of less than fifty lines. The Fourier-series method can be interprete...