The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Sum Formulas Involving Powers of Balancing and Lucas-balancing Numbers


Affiliations
1 Department of Mathematics, National Institute of Technology, Rourkela, India
     

   Subscribe/Renew Journal


In this article, we obtain the closed form expressions for different types of summation formulas involving certain powers of balancing and Lucas-balancing numbers using the telescoping summation formula.

Keywords

Balancing Numbers, Lucas-balancing Numbers, Telescoping Summation Formula.
Subscription Login to verify subscription
User
Notifications
Font Size



  • Sum Formulas Involving Powers of Balancing and Lucas-balancing Numbers

Abstract Views: 417  |  PDF Views: 0

Authors

S. G. Rayaguru
Department of Mathematics, National Institute of Technology, Rourkela, India
G. K. Panda
Department of Mathematics, National Institute of Technology, Rourkela, India

Abstract


In this article, we obtain the closed form expressions for different types of summation formulas involving certain powers of balancing and Lucas-balancing numbers using the telescoping summation formula.

Keywords


Balancing Numbers, Lucas-balancing Numbers, Telescoping Summation Formula.

References