A New Identity Involving Balancing Polynomials and Balancing Numbers
نویسندگان
چکیده
منابع مشابه
On the Properties of Balancing and Lucas-Balancing $p$-Numbers
The main goal of this paper is to develop a new generalization of balancing and Lucas-balancing sequences namely balancing and Lucas-balancing $p$-numbers and derive several identities related to them. Some combinatorial forms of these numbers are also presented.
متن کاملSome New Properties of Balancing Numbers and Square Triangular Numbers
A number N is a square if it can be written as N = n2 for some natural number n; it is a triangular number if it can be written as N = n(n + 1)/2 for some natural number n; and it is a balancing number if 8N2 +1 is a square. In this paper, we study some properties of balancing numbers and square triangular numbers.
متن کاملProperties of balancing, cobalancing and generalized balancing numbers∗
A positive integer n is called a balancing number if 1 + 2 + · · · + (n − 1) = (n + 1) + (n + 2) + · · · + (n + r) for some positive integer r. Several authors investigated balancing numbers and their various generalizations. The goal of this paper is to survey some interesting properties and results on balancing, cobalancing and all types of generalized balancing numbers.
متن کاملAssembly line balancing to minimize balancing loss and system loss
Assembly Line production is one of the widely used basic principles in production system. The problem of Assembly Line Balancing deals with the distribution of activities among the workstations so that there will be maximum utilization of human resources and facilities without disturbing the work sequence. Research works reported in the literature mainly deals with minimization of idle time i.e...
متن کامل‘BALANCING AND SEQUENCING’ VERSUS ‘ONLY BALANCING’ IN MIXED MODEL U-LINE ASSEMBLY SYSTEMS: AN ECONOMIC ANALYSIS
With the growth in customers’ demand diversification, mixed-model U-lines (MMUL) have acquired increasing importance in the area of assembly systems. There are generally two different approaches in the literature for balancing such systems. Some researchers believe that since the types of models can be very diverse, a balancing approach without simultaneously sequencing of models will not yield...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Symmetry
سال: 2019
ISSN: 2073-8994
DOI: 10.3390/sym11091141