Results 61 to 70 of about 159 (139)

A Generalization of Jacobsthal and Jacobsthal-Lucas numbers

, 2019
In this paper, we study a generalization of Jacobsthal and Jacobsthal-Lucas numbers, we find their generating function binet formulas, related matrix representation and many other ...
openaire   +2 more sources

Recent Developments and Applications on Qualitative Theory of Fractional Equations and Related Topics

, 2015
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015.
Shurong Sun, Luisa Morgado, Jehad Alzabut, Ivanka Stamova   +3 more
wiley   +1 more source

Generalized Identities Involving Common Factors of Generalized Fibonacci, Jacobsthal and Jacobsthal-Lucas Numbers

International Journal of Analysis and Applications, 2013
In this paper, we present generalized identities involving common factors of generalized Fibonacci, Jacobsthal and jacobsthal-Lucas numbers. Binet’s formula will employ to obtain the identities.
Yashwant K. Panwar, Bijendra Singh, V. K. Gupta   +2 more
doaj   +2 more sources

A new approach to Jacobsthal, Jacobsthal-Lucas numbers and dual vectors

AIMS Mathematics, 2023
<abstract><p>This paper gives a detailed study of a new generation of dual Jacobsthal and dual Jacobsthal-Lucas numbers using dual numbers. Also some formulas, facts and properties about these numbers are presented. In addition, a new dual vector called the dual Jacobsthal vector is presented. Some properties of this vector apply to various
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Non-Fisherian generalized Fibonacci numbers [PDF]

Notes on Number Theory and Discrete Mathematics
Using biology as inspiration, this paper explores a generalization of the Fibonacci sequence that involves gender biased sexual reproduction. The female, male, and total population numbers along with their associated recurrence relations are considered ...
Thor Martinsen
doaj   +1 more source

Hyperbolic Jacobsthal Numbers

Asian Research Journal of Mathematics, 2019
In this paper, we introduce the Hyperbolic Jacobsthal numbers and we present recurrence relations, Binet's formulas, generating functions and the summation formulas for these numbers. Moreover, we investgate Lorentzian inner product for the hyperbolic Jacobsthal vectors.
openaire   +3 more sources

Arctangent Identities Involving the Jacobsthal and Jacobsthal-Lucas Numbers

Electronic Journal of Mathematical Analysis and Applications
This study presents novel arctangent identities that establish connections between the Jacobsthal and Jacobsthal-Lucas numbers. These findings contribute to the understanding of the interplay between trigonometric functions and number theory, particularly in relation to well-known mathematical sequences and constants.
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On characteristic polynomial of higher order generalized Jacobsthal numbers

Advances in Difference Equations, 2019
In this paper, we study a higher order generalization of the Jacobsthal sequence, namely, the (k,c) $(k,c)$-Jacobsthal sequence (Jn(k,c)) $(J^{(k,c)}_{n})$ for any integers n, k≥2 $k\geq 2$ and a real number c>0 $c>0$.
Diego Marques, Pavel Trojovský
doaj   +1 more source

A combined approach to Perrin and Padovan hybrid sequences. [PDF]

Heliyon, 2021
Jafari Petroudi SH, Pirouz M, Karaca E, Yılmaz F.   +3 more
europepmc   +1 more source

Binomial Transforms of the Third-Order Jacobsthal and Modified Third-Order Jacobsthal Polynomials

Universal Journal of Mathematics and Applications
In this study, we define the binomial transforms of third-order Jacobsthal and modified third-order Jacobsthal polynomials. Further, the generating functions, Binet formulas and summation of these binomial transforms are found by recurrence relations ...
Gamaliel Morales
doaj   +1 more source