Results 271 to 280 of about 9,368,609 (297)
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2023
Abstract: In the paper, we define the $q$-Leonardo bicomplex numbers by using the $q$-integers. Also, we give some algebraic properties of $q$-Leonardo bicomplex numbers such as recurrence relation, generating function, Binet's formula, D'Ocagne's identity, Cassini's identity, Catalan's identity and Honsberger identity.
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Abstract: In the paper, we define the $q$-Leonardo bicomplex numbers by using the $q$-integers. Also, we give some algebraic properties of $q$-Leonardo bicomplex numbers such as recurrence relation, generating function, Binet's formula, D'Ocagne's identity, Cassini's identity, Catalan's identity and Honsberger identity.
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Generalized Fibonacci–Leonardo numbers
Journal of Difference Equations and Applications, 2023Urszula Bednarz +1 more
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Sums of the generalized Leonardo numbers.
International Journal of Mathematics and Computer ScienceWe give the summation formula of squares of the generalized Leonardo numbers and present a very short proof. We also give the summation formula of cubes of the generalized Leonardo numbers. Moreover, we show some interesting identities of the generalized Leonardo numbers.
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Leonardo Da Vinci and Fluid Mechanics
Annual Review of Fluid Mechanics, 2021Susan Broomhall, Ivan Marusic
exaly
A New Class of Leonardo Hybrid Numbers and Some Remarks on Leonardo Quaternions Over Finite Fields
Mathematics, 2023Diana Savin, Elif Tan, Semih Yilmaz
exaly
On Leonardo Numbers and Fibonacci Fundamental System
2023Elen Viviani Pereira Spreafico +1 more
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