Results 41 to 50 of about 916 (205)
Unoriented knot polynomials of torus links as Fibonacci-type polynomials [PDF]
, 2019 The focus of this paper is to study the two-variable Kauffman polynomials [Formula: see text] and [Formula: see text], and the one-variable BLM/Ho polynomial [Formula: see text] of [Formula: see text]-torus link as the Fibonacci-type polynomials and to ...
Kemal Taşköprü +3 more
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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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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
wiley +1 more source
Polynomials that are Integer-Valued on the Fibonacci Numbers [PDF]
, 2013 An integer-valued polynomial is a polynomial with rational coefficients that takes an integer value when evaluated at an integer. The binomial polynomials form a regular basis for the Z-module of all integer-valued polynomials.
Scheibelhut, Kira
core
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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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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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
Renormalization techniques for inflation systems and some of their applications
Acta Crystallographica Section A, Volume 82, Issue 4, Page 294-304, July 2026.In this work, renormalization methods for quantities related to the diffraction of inflation systems are surveyed.Exact renormalization techniques are important and powerful, particularly for inflation‐generated systems. We review recent results in this direction.
Michael Baake +4 more
wiley +1 more source