Results 31 to 40 of about 13,406 (301)

On Leonardo Pisano Hybrinomials

open access: yesMathematics, 2021
A generalization of complex, dual, and hyperbolic numbers has recently been defined as hybrid numbers. In this study, using the Leonardo Pisano numbers and hybrid numbers we investigate Leonardo Pisano polynomials and hybrinomials.
Ferhat Kürüz   +2 more
doaj   +1 more source

Taylor’s series expansions for real powers of two functions containing squares of inverse cosine function, closed-form formula for specific partial Bell polynomials, and series representations for real powers of Pi

open access: yesDemonstratio Mathematica, 2022
In this article, by virtue of expansions of two finite products of finitely many square sums, with the aid of series expansions of composite functions of (hyperbolic) sine and cosine functions with inverse sine and cosine functions, and in the light of ...
Qi Feng
doaj   +1 more source

On dual hyperbolic numbers with generalized Jacobsthal numbers components

open access: yes, 2023
In this paper, we introduce the generalized dual hyperbolic Jacobsthal numbers. As special cases, we deal with dual hyperbolic Jacobsthal and dual hyperbolic Jacobsthal-Lucas numbers.
SOYKAN, YÜKSEL   +2 more
core   +1 more source

Hyperbolic band topology with non-trivial second Chern numbers

open access: yesNature Communications, 2023
To date, studies of topological band theory have mostly dealt with Euclidean space. Here, the authors use classical electric-circuit networks to realize topological insulators in 2D negatively-curved (hyperbolic) space with non-trivial second Chern ...
Weixuan Zhang   +4 more
doaj   +1 more source

MCGDM Approach Using the Weighted Hyperbolic Sine Similarity Measure of Neutrosophic (Indeterminate Fuzzy) Multivalued Sets for the Teaching Quality Assessment of Teachers [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
A neutrosophic (indeterminate fuzzy) multivalued set (NMS) can be effectively described by neutrosophic number sequences with identical or different neutrosophic numbers zi = i + viI  [0, 1] (i = 1, 2, …, q) for , v  R and I  [I  , I + ]. Therefore,
Mailing Zhao, Jun Ye
doaj   +1 more source

Hyperbolic Fibonacci Sequence

open access: yesUniversal Journal of Mathematics and Applications, 2019
In this paper, we investigate the hyperbolic Fibonacci sequence and the hyperbolic Fibonacci numbers. Furthermore, we give recurrence relations, the golden ratio and Binet's formula for the hyperbolic Fibonacci sequence and Lorentzian inner product ...
Fügen Torunbalcı Aydın
doaj   +1 more source

Two identities and closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of the second kind

open access: yesDemonstratio Mathematica, 2022
In this article, the authors present two identities involving products of the Bernoulli numbers, provide four alternative proofs for these two identities, derive two closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of ...
Chen Xue-Yan   +3 more
doaj   +1 more source

Additional Fibonacci-Bernoulli relations

open access: yesResearches in Mathematics, 2022
We continue our study on relationships between Fibonacci (Lucas) numbers and Bernoulli numbers and polynomials. The derivations of our results are based on functional equations for the respective generating functions, which in our case are combinations ...
K. Adegoke, R. Frontczak, T.P. Goy
doaj   +1 more source

Properties of hyperbolic generalized Pell numbers

open access: yes, 2020
In this paper, we introduce the generalized hyperbolic Pell numbers over the bidimensional Clifford algebra of hyperbolic numbers. As special cases, we deal with hyperbolic Pell and hyperbolic Pell–Lucas numbers.
Yüksel Soykan, Melih Göcen
core   +1 more source

A Note on Generalized Hybrid Tribonacci Numbers

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2020
In this paper, we introduce the generalized hybrid Tribonacci numbers. These numbers can be considered as a generalization of the generalized complex Tribonacci, generalized hyperbolic Tribonacci and generalized dual Tribonacci numbers.
Yaǧmur Tülay
doaj   +1 more source

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