Leopold Fejér Gesammelte Arbeiten I - Image 1

£54.60

Birkhauser Leopold Fejér Gesammelte Arbeiten I

Name: Leopold Fejer Gesammelte Arbeiten I
Brand: Birkhauser
Price: 54.6 GBP
Availability: InStock

black & white illustrations, bibliograph

Science Studies

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Description

>an asymptotisch darstellt-, wenn . a;n 1 1m--= 1, n=oow(n) oder anders ausgedruckt, wenn a: n = w(n) (1 + Bn), wobei Wir werden dies mit bezeichnen. Zur Bestimmung eines solchen asymptotischen Ausdrucks w(n) hat DAR Boux1 eine sehr allgemeine Methode gegeben. Er bildet die Potenzreihe (1) der komplexen Veranderlichen z und zeigt, dass der asymptotische Wert von a: n von denjenigen Singularitatastellen der analytischen Funktion f(z) abhangt, die auf der Peripherie des Konvergenzkreises der Potenzreihe (1) liegen. Ich werde jetzt mit einigen Worten die DARBOUXschen Resultate dar legen. Damit die DARBouxsche Methode anwendbar sei, muss notwendigerweise vorausgesetzt werden, dass der Radius des Konvergenzkreises der Potenz reihe (l) eine von Null und von + oo verschiedene positive Zahl R ist. Nehmen wir ferner an, dass die Anzahl der Singularitatastellen (JylJ = \Y2\ = . . . = JykJ = R) der Funktionf(z) (eigentlich der durch die Reihe (1) gewinnbaren unmittel baren analytischen Fortsetzung derselben) auf dem Konvergenzkreis mit dem Radius R endlich ist. Da nun DARBOUX beweist, dass die Singularitata stellen Yv y,, Yk solche >>Teile"

Product Specifications

Brand: Birkhauser
Model: black & white illustrations, bibliograph
Format: paperback
ASIN: 3034859031
Category: Books > Subjects > Children's Books > Education & Reference > Science Studies
Domain: Amazon UK
Release Date: 04 December 2014
Listed Since: 06 August 2014

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Birkhauser Leopold Fejér Gesammelte Arbeiten I

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