Results 41 to 50 of about 3,036,123 (324)
Demonstratio 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
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A Study on Hyperbolic Generalized Guglielmo Numbers
, 2023 In this paper, we introduce the generalized hyperbolic Guglielmo numbers. We delve into various specific instances, including hyperbolic triangular numbers, hyperbolic triangular-Lucas numbers, hyperbolic oblong numbers, and hyperbolic pentagonal numbers.
Yüksel Soykan, Bahadır Yılmaz
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Additional Fibonacci-Bernoulli relations
Researches 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
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A Note on Generalized Hybrid Tribonacci Numbers
Discussiones 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
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Matrices with Hyperbolic Number Entries
Turkish Journal of Mathematics and Computer Science, 2022 In this study, firstly, we will present some properties of hyperbolic numbers. Then, we will introduce hyperbolic matrices, which are matrices with hyperbolic number entries. Additionally, we will examine the algebraic properties of these matrices and reveal its difference from other matrix structures such as real, dual, and complex matrices.
Ferhat KURUZ, Ali DAĞDEVİREN
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Hyperbolic Numbers in Modeling Genetic Phenomena
, 2019 The article is devoted to applications of 2-dimensional hyperbolic numbers and their algebraic 2n-dimensional extensions in modeling some genetic and cultural phenomena.
S. Petoukhov
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On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers
Annales Mathematicae Silesianae, 2019 The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their properties.
Szynal-Liana Anetta, Włoch Iwona
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The Squeeze Principle of the Sequence of Hyperbolic Numbers
Transactions on Computational and Applied Mathematics: The hyperbolic numbers have an analogous composition with the complex numbers, which are composed by two real numbers, generating an exchangeable ring. That is to mean, the hyperbolic numbers can be viewed as the generalization of real numbers. In this
Bingyi Lyu, Hengcheng Zhao
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STATISTICAL CONVERGENCE IN A BICOMPLEX VALUED METRIC SPACE
Ural Mathematical Journal, 2023 In this paper, we study some basic properties of bicomplex numbers. We introduce two different types of partial order relations on bicomplex numbers, discuss bicomplex valued metric spaces with respect to two different partial orders, and compare them ...
Subhajit Bera, Binod Chandra Tripathy
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, 2021 We introduce the notion of hyperbolic congruent numbers which is a hyperbolic analogue of congruent numbers, and investigate the relations between congruent numbers and hyperbolic congruent numbers.Key words: Congruent number, elliptic curve, hyperbolic ...
Jo, Jang Hyun, Hur, Injo
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