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some new families of generalized k-leonardo and gaussian leonardo numbers
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نویسنده
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prasad kalika ,mohanty ritanjali ,kumari munesh ,mahato hrishikesh
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منبع
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communications in combinatorics and optimization - 2024 - دوره : 9 - شماره : 3 - صفحه:539 -553
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چکیده
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In this paper, we introduce a new family of the generalized k-leonardo numbers and study their properties. we investigate the gaussian leonardo numbers and associated new families of these gaussian forms. we obtain combinatorial identities like binet formula, cassini’s identity, partial sum, etc. in the closed form. moreover, we give various generating and exponential generating functions.
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کلیدواژه
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k-leonardo numbers ,k-gaussian leonardo numbers ,binet formula ,generating functions ,partial sum
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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, central university of jharkhand, department of mathematics, india, central university of jharkhand, department of mathematics, india
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پست الکترونیکی
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hrishikesh.mahato@cuj.ac.in
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Authors
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