2018
DOI: 10.1007/s00006-018-0833-3
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Introduction to Hybrid Numbers

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Cited by 88 publications
(86 citation statements)
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“…For detailed information about hybrid numbers, see previous studies. 21,22,27 Type∖Character Spacelike Lightlike Timelike Hyperbolic respectively. The matrix representations of these transformations are as follows:…”
Section: Hybrid Numbersmentioning
confidence: 99%
“…For detailed information about hybrid numbers, see previous studies. 21,22,27 Type∖Character Spacelike Lightlike Timelike Hyperbolic respectively. The matrix representations of these transformations are as follows:…”
Section: Hybrid Numbersmentioning
confidence: 99%
“…The DN algebraic rules [12,13], summarized below, are a straightforward consequence of the previous identity (2) (with z = x + y and w = u + v):…”
Section: Higher Order Dual Numbersmentioning
confidence: 99%
“…are the Chebyshev polynomials of the …rst kind T n 1 (x); (6) For a = 1, b = p = 2, and q = 1, the Horadam polynomials h n (x) = h n (x; 1; 2; 2; 1) become the Chebyshev polynomials of the second kind U n 1 (x). Özdemir [5] introduced the set of hybrid numbers denoted by K which contains complex, dual and hyberbolic numbers. The set of hybrid numbers K = a + bi + c + dh : a; b; c; d 2 R; i 2 = 1; 2 = 0; h 2 = 1; ih = hi = + i :…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, the author gave some important algebraic properties of these numbers. For more information, please refer to [5][6][7][8][9][10][11][12] and closely related references therein.…”
Section: Introductionmentioning
confidence: 99%