Results 11 to 20 of about 132,757 (287)
A Study on Dual-Generalized Complex and Hyperbolic-Generalized Complex Numbers
Gazi University Journal of Science, 2021 This work is intended to introduce the theories of dual-generalized complex and hyperbolicgeneralized complex numbers. The algebraic properties of these numbers are taken into consideration. Besides, dual-generalized complex and hyperbolic-generalized complex valued functions are defined and different matrix representations of these numbers are ...
Nurten GÜRSES +2 more
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On Special Spacelike Hybrid Numbers
Mathematics, 2020 Hybrid numbers are generalizations of complex, hyperbolic and dual numbers. A hyperbolic complex structure is frequently used in both pure mathematics and numerous areas of physics.
Anetta Szynal-Liana, Iwona Włoch
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Non-representable hyperbolic matroids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 The generalized Lax conjecture asserts that each hyperbolicity cone is a linear slice of the cone of positive semidefinite matrices. Hyperbolic polynomials give rise to a class of (hyperbolic) matroids which properly contains the class of matroids ...
Nima Amini, Petter Branden
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A Note on Generalized Hybrid Tribonacci Numbers [PDF]
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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Bridging the p-Special Functions between the Generalized Hyperbolic and Trigonometric Families
MathematicsHere, we study the extension of p-trigonometric functions sinp and cosp family in complex domains and p-hyperbolic functions sinhp and the coshp family in hyperbolic complex domains.
Ali Hamzah Alibrahim, Saptarshi Das
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Generalized Stochastic Areas, Winding Numbers, and Hyperbolic Stiefel Fibrations [PDF]
International mathematics research notices, 2021 We study the Brownian motion on the non-compact Grassmann manifold $\frac {\textbf {U}(n-k,k)} {\textbf {U}(n-k)\textbf {U}(k)}$ and some of its functionals.
Fabrice Baudoin, N. Demni, Jing Wang
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Rational curves over generalized complex numbers
Journal of symbolic computation, 2019 Complex rational curves have been used to represent circular splines as well as many classical curves including epicycloids, cardioids, Joukowski profiles, and the lemniscate of Bernoulli.
Juan Du, R. Goldman, Xuhui Wang
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Advanced Information Systems, 2022 Information about the interval numbers presented in the classical form, the CENTER-RADIUS system and in the hyperbolic form is given. Rules for the transition from one of the forms of representation of interval numbers to others are proposed. Information
V. Dubnitskiy +4 more
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Exponential forms and path integrals for complex numbers in n dimensions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 Two distinct systems of commutative complex numbers in n dimensions are described, of polar and planar types. Exponential forms of n-complex numbers are given in each case, which depend on geometric variables. Azimuthal angles, which are cyclic variables,
Silviu Olariu
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Hybrid hyper-Fibonacci and hyper-Lucas numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 Different number systems have been studied lately. Recently, many researchers have considered the hybrid numbers which are generalization of the complex, hyperbolic and dual number systems.
Yasemin Alp
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