In this paper, we consider Marques and Trojovsky's conjecture involving Fibonomial coefficients, Fibonacci and Lucas numbers. After rewriting it in terms of Gaussian q-binomial coefficients and q-Pochhammer symbols, we give a solution of the conjecture. The approach is to use q-analysis to prove the claimed formulas
We present some new kinds of sums of squares of Fibonomial coefficients with finite products of gene...
The Fibonacci sequence can be obtained by drawing diagonals in a Pascal’s triangle, and from this, w...
[[abstract]]The main object of the present paper is to give a unification (and generalization) of tw...
WOS: 000432900500004Recently Marques and Trojovsky [On some new identities for the Fibonomial coeffi...
WOS: 000416732700006In this paper, we de fine q-analogue of the biperiodic Fibonacci and Lucas polyn...
The focus of this paper is the study of generalized Fibonacci polynomials and Fibonomial coefficient...
In the paper, we define the q-Fibonacci hybrid numbers and the q-Lucas hybrid numbers, respectively....
Recently Marques and Trojovsky [On some new identities for the Fibonomial coefficients, Math. Slovac...
Quantum calculus has an important areas in many areas such as number theory, physics and mathematics...
Quantum calculus, which arises in the mathematical fields of combinatorics and special functions as ...
For the real world problems, we use some knowledge for explain or solving them. For example, some ma...
23 pagesInternational audienceIn this article, we present a trick around Fibonacci numbers which can...
In this paper we evaluate quadratic sums of Gaussian q-binomial coefficients with two additional par...
Several new transformations for q- binomial coefficients are found, which have the special feature t...
The Fibonacci sequence can be obtained by drawing diagonals in a Pascal’s triangle, and from this, w...
We present some new kinds of sums of squares of Fibonomial coefficients with finite products of gene...
The Fibonacci sequence can be obtained by drawing diagonals in a Pascal’s triangle, and from this, w...
[[abstract]]The main object of the present paper is to give a unification (and generalization) of tw...
WOS: 000432900500004Recently Marques and Trojovsky [On some new identities for the Fibonomial coeffi...
WOS: 000416732700006In this paper, we de fine q-analogue of the biperiodic Fibonacci and Lucas polyn...
The focus of this paper is the study of generalized Fibonacci polynomials and Fibonomial coefficient...
In the paper, we define the q-Fibonacci hybrid numbers and the q-Lucas hybrid numbers, respectively....
Recently Marques and Trojovsky [On some new identities for the Fibonomial coefficients, Math. Slovac...
Quantum calculus has an important areas in many areas such as number theory, physics and mathematics...
Quantum calculus, which arises in the mathematical fields of combinatorics and special functions as ...
For the real world problems, we use some knowledge for explain or solving them. For example, some ma...
23 pagesInternational audienceIn this article, we present a trick around Fibonacci numbers which can...
In this paper we evaluate quadratic sums of Gaussian q-binomial coefficients with two additional par...
Several new transformations for q- binomial coefficients are found, which have the special feature t...
The Fibonacci sequence can be obtained by drawing diagonals in a Pascal’s triangle, and from this, w...
We present some new kinds of sums of squares of Fibonomial coefficients with finite products of gene...
The Fibonacci sequence can be obtained by drawing diagonals in a Pascal’s triangle, and from this, w...
[[abstract]]The main object of the present paper is to give a unification (and generalization) of tw...
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