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math.CO2022★ 1 cited
On -Mersenne and k-Mersenne-Lucas Octonions
Munesh Kumari, Kalika Prasad, Hrishikesh Mahato
This paper aims to introduce the -Mersenne and -Mersenne-Lucas octonions. We give the closed form formulae for these octonions and obtain some well-known identities like Cass…
math.NT2022★ 1 cited
Balancing polynomials, Fibonacci numbers and some new series for
Robert Frontczak, Kalika Prasad
We evaluate some types of infinite series with balancing and Lucas-balancing polynomials in closed form. These evaluations will lead to some new curious series for involving Fi…
cs.CR2022
A novel public key cryptography based on generalized Lucas matrices
Kalika Prasad, Hrishikesh Mahato, Munesh Kumari
In this article, we have proposed a generalized Lucas matrix (recursive matrix of higher order) having relation with generalized Fibonacci sequences and established many special pr…