Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
A TRANSFORMATION FORMULA FOR APPELL'S HYPERGEOMETRIC FUNCTION $F_1$ AND COMMON LIMITS OF TRIPLE SEQUENCES BY MEAN ITERATIONS
KEIJI MATSUMOTO
Author information
Keywords: Hypergeometric function, arithmetic-geometric mean, mean iteration
JOURNAL FREE ACCESS

2010 Volume 62 Issue 2 Pages 263-268

Details
Download PDF (80K)
Download citation RIS

(compatible with EndNote, Reference Manager, ProCite, RefWorks)

BIB TEX

(compatible with BibDesk, LaTeX)

Text
How to download citation
Contact us
Abstract
In this paper, we give a transformation formula for Appell's hypergeometric function $F_1$. As applications of this formula, we show that some common limits of triple sequences given by mean iterations of 3-terms can be expressed by $F_1$.
Content from these authors

This article cannot obtain the latest cited-by information.

© 2010 by THE TOHOKU UNIVERSITY
Previous article Next article
Favorites & Alerts

Recently viewed articles
Predecessor

Tohoku Mathematical Journal, First Series

Share this page
feedback
 Top