Results 41 to 50 of about 302 (175)
MathematicsThis paper presents a comprehensive survey of the generalization of hybrid numbers and hybrid polynomials, particularly in the fields of mathematics and physics.
Can Kızılateş +2 more
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Incomplete Bivariate Fibonacci and Lucas 𝑝-Polynomials
Discrete Dynamics in Nature and Society, 2012 We define the incomplete bivariate Fibonacci and Lucas 𝑝-polynomials. In the case 𝑥=1, 𝑦=1, we obtain the incomplete Fibonacci and Lucas 𝑝-numbers. If 𝑥=2, 𝑦=1, we have the incomplete Pell and Pell-Lucas 𝑝-numbers.
Dursun Tasci +2 more
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Novel Expressions for Certain Generalized Leonardo Polynomials and Their Associated Numbers
AxiomsThis article introduces new polynomials that extend the standard Leonardo numbers, generalizing Fibonacci and Lucas polynomials. A new power form representation is developed for these polynomials, which is crucial for deriving further formulas.
Waleed Mohamed Abd-Elhameed +3 more
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A numerical method to solve fractional Fredholm-Volterra integro-differential equations
Alexandria Engineering Journal, 2023 The Goolden ratio is famous for the predictability it provides both in the microscopic world as well as in the dynamics of macroscopic structures of the universe. The extension of the Fibonacci series to the Fibonacci polynomials gives us the opportunity
Antonela Toma, Octavian Postavaru
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Noûs, EarlyView.ABSTRACT It is a truism of mathematics that differences between isomorphic number systems are irrelevant to arithmetic. This truism is deeply rooted in the modern axiomatic method and underlies most strands of arithmetical structuralism, the view that arithmetic is about some abstract number structure.
Balthasar Grabmayr
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Bivariate Leonardo polynomials and Riordan arrays [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, bivariate Leonardo polynomials are defined, which are closely related to bivariate Fibonacci polynomials. Bivariate Leonardo polynomials are generalizations of the Leonardo polynomials and Leonardo numbers.
Yasemin Alp, E. Gökçen Koçer
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Total Variation Regularized GRACE(‐FO) Inversion
Journal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.Abstract Gravity estimation from satellite‐satellite tracking missions such as GRACE(‐FO) is an ill‐posed inverse problem. The conventional approach to regularized inversion of GRACE(‐FO) measurements uses L2 ${L}_{2}$‐Tikhonov regularization with a heuristic constraint matrix derived based on knowledge of spatiotemporal distribution of the signal ...
G. Jacob +4 more
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A New Class of q-Fibonacci Polynomials [PDF]
The Electronic Journal of Combinatorics, 2003 We introduce a new $q$-analogue of the Fibonacci polynomials and derive some of its properties. Extra attention is paid to a special case which has some interesting connections with Euler's pentagonal number theorem.
openaire +3 more sources
Extended Fibonacci numbers and polynomials with probability applications
International Journal of Mathematics and Mathematical Sciences, 2004 The extended Fibonacci sequence of numbers and polynomials is introduced and studied. The generating function, recurrence relations, an expansion in terms of multinomial coefficients, and several properties of the extended Fibonacci numbers and ...
Demetrios L. Antzoulakos
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Chebyshev polynomials and their some interesting applications
Advances in Difference Equations, 2017 The main purpose of this paper is by using the definitions and properties of Chebyshev polynomials to study the power sum problems involving Fibonacci polynomials and Lucas polynomials and to obtain some interesting divisible properties.
Chen Li, Zhang Wenpeng
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