Zobrazeno 1 - 10
of 95
pro vyhledávání: '"k-fibonacci numbers"'
Autor:
Alaa Altassan, Murat Alan
Publikováno v:
Mathematics, Vol 11, Iss 2, p 455 (2023)
In this paper, we define the notion of almost repdigit as a positive integer whose digits are all equal except for at most one digit, and we search all terms of the k-generalized Fibonacci sequence which are almost repdigits. In particular, we find a
Externí odkaz:
https://doaj.org/article/f9deaf8903324798abef11ccb70a04e4
Autor:
Muhammad Shafiq, Hari M. Srivastava, Nazar Khan, Qazi Zahoor Ahmad, Maslina Darus, Samiha Kiran
Publikováno v:
Symmetry, Vol 12, Iss 6, p 1043 (2020)
In this paper, we use q-derivative operator to define a new class of q-starlike functions associated with k-Fibonacci numbers. This newly defined class is a subclass of class A of normalized analytic functions, where class A is invariant (or symmetri
Externí odkaz:
https://doaj.org/article/cacc48cc3dc14104897bd2abacb4cd08
Autor:
Ramírez José L.
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 23, Iss 2, Pp 201-212 (2015)
In this paper, we define the k-Fibonacci and the k-Lucas quaternions. We investigate the generating functions and Binet formulas for these quaternions. In addition, we derive some sums formulas and identities such as Cassini’s identity.
Externí odkaz:
https://doaj.org/article/e554b9c6c0884ca8a449d74edb74b53e
Autor:
USLU, Kemal, TEKE, Mustafa
Publikováno v:
Volume:, Issue: 15 21-28
Journal of New Results in Engineering and Natural Sciences
Journal of New Results in Engineering and Natural Sciences
In this study, some infinite sums related to the generalized k-Fibonacci numbers have been obtained by using infinite sums related to classic Fibonacci numbers and generalized Fibonacci numbers in literature.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=tubitakulakb::c8f321bb3b10cd008a69e7719e2e799a
https://dergipark.org.tr/tr/pub/jrens/issue/70347/1079262
https://dergipark.org.tr/tr/pub/jrens/issue/70347/1079262
Autor:
Ramírez Jósé L., Rubiano Gustavo N.
Publikováno v:
Acta Universitatis Sapientiae: Informatica, Vol 5, Iss 2, Pp 212-226 (2013)
In this paper we define the k-Fibonacci words in analogy with the definition of the k-Fibonacci numbers. We study their properties and we associate to this family of words a family of curves with interesting patterns.
Externí odkaz:
https://doaj.org/article/ce80fbed0ee64e2e999a6dd97b053867
Autor:
Tülay Yağmur
Publikováno v:
Notes on Number Theory and Discrete Mathematics. 25:123-133
In this paper, we introduce the generalized bicomplex k-Fibonacci numbers. We also give the generating function and Binet's formula for these numbers. In addition, we obtain some identities such as Honsberger, d' Ocagne's, Catalan's, and Cassini's id
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4acb82ae65d547f7a8ec094973b9d8ae
https://doi.org/10.7546/nntdm.2019.25.4.123-133
https://doi.org/10.7546/nntdm.2019.25.4.123-133
Publikováno v:
Filomat. 35:1001-1013
In this paper, we derive some new symmetric properties of k-Fibonacci numbers by making use of symmetrizing operator. We also give some new generating functions for the products of some special numbers such as k-Fibonacci numbers, k-Pell numbers, Jac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e021b1ad8ca80005fb3a469c7ccf6154
https://doi.org/10.2298/fil2103001b
https://doi.org/10.2298/fil2103001b
Akademický článek
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Akademický článek
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Publikováno v:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 113:2575-2586
In this paper, we introduce a new operator in order to derive some new symmetric properties of k-Fibonacci and k-Pell numbers and Tchebychev polynomials of first and second kind. By making use of the new operator defined in this paper, we give some n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::936762f6f3385bb57574df792063d1e0
https://doi.org/10.1007/s13398-019-00641-4
https://doi.org/10.1007/s13398-019-00641-4