On a new generalization of Fibonacci hybrid numbers

نویسندگان

چکیده

The hybrid numbers were introduced by Ozdemir [9] as a new generalization of complex, dual, and hyperbolic numbers. A number is defined $$k=a+bi+c\epsilon +dh$$ , where a, b, c, d are real $$ i,\epsilon ,h$$ operators such that $$i^{2}=-1,\epsilon ^{2}=0,h^{2}=1$$ $$ih=-hi=\epsilon +i$$ . This work intended an attempt to introduce the bi-periodic Horadam which generalize classical We give generating function, Binet formula, some basic properties these Also, we investigate relationships between generalized Fibonacci Lucas

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ژورنال

عنوان ژورنال: Indian Journal of Pure and Applied Mathematics

سال: 2022

ISSN: ['0019-5588', '0975-7465', '2455-0000']

DOI: https://doi.org/10.1007/s13226-022-00264-3