Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Prasanta Kumar Ray"'
Autor:
Adikanda Behera, Prasanta Kumar Ray
Publikováno v:
AIMS Mathematics, Vol 5, Iss 3, Pp 1843-1855 (2020)
The convolved (u, v)-Lucas first kind p-polynomials are defined using the generating function of the (u, v)-Lucas first kind p-polynomials. The determinantal and permanental representations of the convolved (u, v)-Lucas first kind p-polynomials are u
Externí odkaz:
https://doaj.org/article/bd02b4207f9244d299c72ec385fc053d
Publikováno v:
AIMS Mathematics, Vol 4, Iss 6, Pp 1569-1581 (2019)
In this note, we consider the finite reciprocal sums of Fibonacci and Lucas polynomials and derive some identities involving these sums.
Externí odkaz:
https://doaj.org/article/e771375cfb8c49f8856a4713586ac8e2
Autor:
Prasanta Kumar Ray
Publikováno v:
AIMS Mathematics, Vol 4, Iss 2, Pp 308-315 (2019)
In this article, we derive some identities involving k balancing and k-Lucas-balancing numbers of arithmetic indexes, say an + p, where a and p are some fixed integers with 0≤p≤a-1.
Externí odkaz:
https://doaj.org/article/519ed31aa43f4b9e9748fbdce6c63125
Autor:
Prasanta Kumar Ray
Publikováno v:
Ain Shams Engineering Journal, Vol 9, Iss 3, Pp 395-402 (2018)
In this study, a generalization of the sequence of balancing numbers called as k-balancing numbers is considered and some of their properties are established. Further, the balancing polynomials that are the natural extension of k-balancing numbers ar
Externí odkaz:
https://doaj.org/article/0916ef6f65d14ae7830ada0e6f4c484e
Autor:
Prasanta Kumar Ray
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 35, Iss 3, Pp 273-283 (2017)
It is well known that the successive balancing numbers are relatively prime. Let for all integers a, sn(a) denotes the greatest common divisor of the shifted balancing numbers of the form sn(a) = gcd(Bn a; Bn+1 6a). In this study, we will s
Externí odkaz:
https://doaj.org/article/5dd15dc79051488aad13d81c35cb22e3
Autor:
Prasanta Kumar Ray
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 31, Iss 2, Pp 161-173 (2013)
In this paper, we find some tridigonal matrices whose determinant and permanent are equal to the negatively subscripted balancing and Lucas- balancing numbers. Also using the First and second kind of Chebyshev polynomials, we obtain the factorization
Externí odkaz:
https://doaj.org/article/dc93e6de5dfd408d81c5d36672a5182e
Autor:
Prasanta Kumar Ray
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 30, Iss 2, Pp 49-56 (2012)
In this paper, with the help of orthogonal polynomial especially Chybeshev polynomials of first and second kind, number theory and linear algebra intertwined to yield factorization of the balancing and Lucas-balancing numbers.
Externí odkaz:
https://doaj.org/article/dec7f22544154a17bc7326c07a04f93c
Publikováno v:
Acta et Commentationes Universitatis Tartuensis de Mathematica. 26:183-192
In this study, we find all Narayana numbers which are expressible as sums of two base b repdigits. The proof of the main result uses lower bounds for linear forms in logarithms of algebraic numbers and a version of the Baker–Davenport reduction met
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cb762f2d9c285755c1f963b6997411ee
https://doi.org/10.12697/acutm.2022.26.12
https://doi.org/10.12697/acutm.2022.26.12
Autor:
Adikanda Behera, Prasanta Kumar Ray
Publikováno v:
Armenian Journal of Mathematics. 14:1-20
In the present study, we find several connections between balancing polynomials and the Chebyshev polynomials of the first and second kinds. The Chebyshev polynomials of the first and second kinds are expressed as the sum of two terms of balancing po
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1984c702417c95c32f4f58a1c78e2c7
https://doi.org/10.52737/18291163-2022.14.12-1-20
https://doi.org/10.52737/18291163-2022.14.12-1-20
Autor:
Mitashree Behera, Prasanta Kumar Ray
Publikováno v:
Lithuanian Mathematical Journal. 62:304-307
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::23bf1bb766820acff2b3d5cde8e3e60a
https://doi.org/10.1007/s10986-022-09570-z
https://doi.org/10.1007/s10986-022-09570-z