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some properties and identities of hyperbolic generalized k-horadam quaternions and octonions
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نویسنده
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prasad kalika ,kumari munesh ,kizilates can
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منبع
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communications in combinatorics and optimization - 2024 - دوره : 9 - شماره : 4 - صفحه:707 -724
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چکیده
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The aim of this paper is to introduce the hyperbolic generalized k-horadam quaternions and octonions and investigate their algebraic properties. we present some properties and identities of these quaternions and octonions for generalized k-horadam numbers. moreover, we give some determinants related to the hyperbolic generalized k-horadam quaternions and octonions. finally, we evaluate its determinants through the chebyshev polynomials of the second kind and give an illustrative example as well.
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کلیدواژه
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horadam number ,hyperbolic quaternions and octonions ,binet formula ,generating function ,chebyshev polynomials
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آدرس
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central university of jharkhand, department of mathematics, india, central university of jharkhand, department of mathematics, india, zonguldak bülent ecevit university, department of mathematics, turkey
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پست الکترونیکی
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cankizilates@gmail.com
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Authors
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