Convolution series and the generalized convolution Taylor formula

Convergence acceleration of Taylor sections by convolution

Abstract. Taylor sections Sn(f) of an entire function f often provide easy computable polynomial approximants of f . However, while the rate of convergence of (Sn(f))n is nearly optimal on circles around the origin, this is no longer true for other plane sets as for example real compact intervals. The aim of this paper is to construct for certain families of (entire) functions sequences of poly...

A Convolution Formula for the Tutte Polynomial

Let M be a finite matroid with rank function r. We will write A M when we mean that A is a subset of the ground set of M, and write M|A and M A for the matroids obtained by restricting M to A and contracting M on A respectively. Let M* denote the dual matroid to M. (See [1] for definitions). The main theorem is Theorem 1. The Tutte polynomial TM(x, y) satisfies TM(x, y)= : A M TM|A(0, y) TM A(x...

Convolution and Homogeneous Spaces

On Generalized Gamma Convolution Distributions

We present here characterizations of certain families of generalized gamma convolution distributions of L. Bondesson based on a simple relationship between two truncated moments. We also present a list of well-known random variables whose distributions or the distributions of certain functions of them belong to the class of generalized gamma convolutions. Mathematics Subject Classification 2000...

Convolution Dirichlet Series and a Kronecker Limit Formula for Second-order Eisenstein Series

In this article we derive analytic and Fourier aspects of a Kronecker limit formula for second-order Eisenstein series. Let Γ be any Fuchsian group of the first kind which acts on the hyperbolic upper half-space H such that the quotient Γ\H has finite volume yet is non-compact. Associated to each cusp of Γ\H, there is a classically studied first-order non-holomorphic Eisenstein series E(s, z) w...