Results 21 to 30 of about 320 (182)

Two Families of Bi-Univalent Functions Associating the (p, q)-Derivative with Generalized Bivariate Fibonacci Polynomials

Mathematics
Making use of generalized bivariate Fibonacci polynomials, we propose two families of regular functions of the type ϕ(ζ)=ζ+∑j=2∞djζj, which are bi-univalent in the disc {ζ∈C:|ζ|
Sondekola Rudra Swamy, Basem Aref Frasin, Daniel Breaz, Luminita-Ioana Cotîrlă   +3 more
doaj   +2 more sources

Numerical results on the zeros of generalized Fibonacci polynomials

, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
He, Matthew, Ricci, P. E., Simon, D. S.
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Generalized Fibonacci Polynomials and Fibonomial Coefficients [PDF]

Annals of Combinatorics, 2014
The focus of this paper is the study of generalized Fibonacci polynomials and Fibonomial coefficients. The former are polynomials {n} in variables s and t given by {0} = 0, {1} = 1, and {n} = s{n-1}+t{n-2} for n ge 2. The latter are defined by {n choose k} = {n}!/({k}!{n-k}!) where {n}! = {1}{2}...{n}.
Amdeberhan, Tewodros, Chen, Xi, Moll, Victor H., Sagan, Bruce E.   +3 more
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Irreducibility of generalized Fibonacci polynomials

, 2022
Two ...
Flórez, Rigoberto, Saunders, J. C.
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Generalized Fibonacci Polynomials [PDF]

Turkish Journal of Analysis and Number Theory, 2016
In this study, we present generalized Fibonacci polynomials. We have used their Binet’s formula and generating function to derive the identities. The proofs of the main theorems are based on special functions, simple algebra and give several interesting properties involving them.
Yashwant K. Panwar, B. Singh, V.K. Gupta
openaire   +1 more source

“Generating matrix for Generalized Fibonacci numbers and Fibonacci polynomials

Journal of Physics: Conference Series, 2022
AbstractMany researchers have been working on recurrence relation sequences of numbers and polynomials which are useful topic not only in mathematics but also in physics, economics and various applications in many other fields. There are many useful identities on recurrence relation sequence but there main problem to find any term of recurrence ...
Mannu Arya, Vipin Verma
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Identities for the Generalized Fibonacci Polynomial

Integers, 2017
See the abstract in the attached pdf.
Rigoberto Flórez, Nathan McAnally, Antara Mukherjee   +2 more
openaire   +5 more sources

The generalized k-Fibonacci polynomials and generalized k-Lucas polynomials [PDF]

Notes on Number Theory and Discrete Mathematics, 2021
In this paper, we define new families of Generalized Fibonacci polynomials and Generalized Lucas polynomials and develop some elegant properties of these families. We also find the relationships between the family of the generalized k-Fibonacci polynomials and the known generalized Fibonacci polynomials.
Merve Taştan, Engin Özkan, Anthony G. Shannon   +2 more
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On Generalized Bivariate (p,q)-Bernoulli–Fibonacci Polynomials and Generalized Bivariate (p,q)-Bernoulli–Lucas Polynomials

, 2023
Many properties of special polynomials, such as recurrence relations, sum formulas, and symmetric properties, have been studied in the literature with the help of generating functions and their functional equations.
Can Kızılateş, Hao Guan, Waseem Ahmad Khan   +2 more
core   +1 more source

On Generalized Fibonacci Polynomials: Horadam Polynomials

Earthline Journal of Mathematical Sciences, 2022
In this paper, we investigate the generalized Fibonacci (Horadam) polynomials and we deal with, in detail, two special cases which we call them $(r,s)$-Fibonacci and $(r,s)$-Lucas polynomials. We present Binet's formulas, generating functions, Simson's formulas, and the summation formulas for these polynomial sequences.
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