Infinite Series as Sums of Triangular Areas

2021 ◽  
pp. 1-7
Author(s):  
Hans Musgrave ◽  
Ryan Zerr
Keyword(s):  
Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5105-5109
Author(s):  
Hüseyin Bor

In this paper, we generalize a known theorem under more weaker conditions dealing with the generalized absolute Ces?ro summability factors of infinite series by using quasi monotone sequences and quasi power increasing sequences. This theorem also includes some new results.


2010 ◽  
Vol 197 ◽  
pp. 175-212
Author(s):  
Maria Chlouveraki

The Rouquier blocks of the cyclotomic Hecke algebras, introduced by Rouquier, are a substitute for the families of characters defined by Lusztig for Weyl groups, which can be applied to all complex reflection groups. In this article, we determine them for the cyclotomic Hecke algebras of the groups of the infinite seriesG(de, e, r), thus completing their calculation for all complex reflection groups.


1911 ◽  
Vol 30 ◽  
pp. 13-30
Author(s):  
J. A. Donaldson

An infinite family of triangles, having a common pole (determined by three fixed lines through it), and polar (determined by three fixed points on it), and an allied family of conics with imaginary double contact.Construction for pole of a line with reference to a triangle.


1780 ◽  
Vol 70 ◽  
pp. 387-450
Keyword(s):  

The following pages are not to be understood as intended to contain a complete treatise on cubic equations, with all the methods of solution that have been delivered by other writers: but they are chiefly employed on the improvements of some properties that were before but partially known, with the discovery of several others which to me appear to be new and of no small importance: for I have only slightly mentioned such of the generally known properties as were necessary to the introduction or investigation of the many curious consequences herein deduced from them.


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