You are viewing a javascript disabled version of the site. Please enable Javascript for this site to function properly.
Go to headerGo to navigationGo to searchGo to contentsGo to footer
In content section. Select this link to jump to navigation

On some conjectures of Askey

Article type: Research Article

Authors: Volkmer, Hans

Affiliations: Department of Mathematical Sciences, University of Wisconsin‐Milwaukee, P.O. Box 413, Milwaukee, WI 53201, USA Tel.: (414) 229‐5950, Fax: (414) 229‐4907, E‐mail: [email protected]

Abstract: Using the Darboux method of asymptotic analysis, it is shown that the coefficients of the power series expansions of the functions f(w)=(1−w)−c(1−2xw+w2)−c and (1+w)f(w), 1<c<2, at w=0 are positive if x lies in certain intervals. This partially answers some questions raised by Askey.

Journal: Asymptotic Analysis, vol. 27, no. 3-4, pp. 321-334, 2001

Published: 2001
Price: EUR 27.50
Show more