578 research outputs found
Leaf-to-leaf distances and their moments in finite and infinite m-ary tree graphs
We study the leaf-to-leaf distances on full and complete m-ary graphs
using a recursive approach. In our formulation, leaves are ordered along a line. We find explicit analytical formulae for the sum of all paths for arbitrary leaf-to-leaf distance r as well as the average path lengths and the moments thereof. We show that the resulting explicit expressions can be recast in terms of Hurwitz-Lerch transcendants. Results for periodic trees are also given. For incomplete random binary trees, we provide first results by numerical techniques; we find a rapid drop of leaf-to-leaf distances for large r
Die gemeinsamen Filme von Peter Handke und Wim Wenders
Diese Arbeit hat sich zum Ziel gesetzt, sich mit den gemeinsamen Filmen von dem österreichischen Schriftsteller, Peter Handke, und dem deutschen Regisseur, Wim Wenders auseinanderzusetzen. Die Grundlage dafür ist, dass die beiden Künstler seit 1966 miteinander befreundet sind, und diese Beziehung auch eine zwanzig Jahre lange aktive Zusammenarbeit ergab. Die „Produkte“ sind die in dieser Arbeit behandelte fünf Filme: 3 amerikanischen LP’s, Die Angst des
Tormanns beim Elfmeter, Falsche Bewegung, Die linkshändige Frau, Der Himmel über Berlin.BKgermanisztika - németBSc/B
Hancock - July 13 - W. S. Lerch
W. S. Lerch is the name of the new condutor who runs on the South Shore to this place
An in-silico look at alternative battery materials : using combined quantum chemical and molecular dynamics approaches to determine physicochemical properties of novel battery materials
author: Sabine U. Lerch, BScMasterarbeit University of Innsbruck 202
An in-silico look at alternative battery materials : using combined quantum chemical and molecular dynamics approaches to determine physicochemical properties of novel battery materials
author: Sabine U. Lerch, BScMasterarbeit University of Innsbruck 202
An in-silico look at alternative battery materials : using combined quantum chemical and molecular dynamics approaches to determine physicochemical properties of novel battery materials
author: Sabine U. Lerch, BScMasterarbeit University of Innsbruck 202
The Lerch zeta-function
The Lerch zeta-function is the first monograph on this topic, which is a generalization of the classic Riemann, and Hurwitz zeta-functions. Although analytic results have been presented previously in various monographs on zeta-functions, this is the first book containing both analytic and probability theory of Lerch zeta-functions. The book starts with classical analytical theory (Euler gamma-functions, functional equation, mean square). The majority of the presented results are new: on approximate functional equations and its applications and on zero distribution (zero-free regions, number of nontrivial zeros etc). Special attention is given to limit theorems in the sense of the weak convergence of probability measures for the Lerch zeta-function. From limit theorems in the space of analytic functions the universitality and functional independence is derived. In this respect the book continues the research of the first author presented in the monograph Limit Theorems for the Riemann zeta-function. This book will be useful to researchers and graduate students working in analytic and probabilistic number theory, and can also be used as a textbook for postgraduate students
Rational approximation of the Hurwitz-Lerch Zeta function
The main result of this paper is the construction of new sequences of rational approximations to the Lerch function. This construction is based on a generalization of the "remainder Padé approximants" method introduced by the author in 1996. More recently, this method has been applied, in the form of remainder Padé-type approximants, to the approximation of Stieltjes' constants
A Study of a Certain Subclass of Hurwitz-Lerch-Zeta Function Related to a Linear Operator
By using a linear operator with Hurwitz-Lerch-Zeta function, which is defined
here by means of the Hadamard product (or convolution), the author investigates
interesting properties of certain subclasses of meromorphically univalent functions in the
punctured unit disk
- …
