Hybrid hyper fibonacci numbers
Web11 sep. 2016 · Fibonacci numbers are defined by the recurrence relation There exist a lot of properties about Fibonacci numbers. In particular, there is a beautiful combinatorial identity to Fibonacci numbers [ 1 ] From ( 2 ), Filipponi [ 2] introduced the incomplete Fibonacci numbers and the incomplete Lucas numbers . They are defined by Web31 mrt. 2024 · In the Fibonacci sequence of numbers, each number is approximately 1.618 times greater than the preceding number. For example, 21/13 = 1.615 while 55/34 = 1.618. In the key Fibonacci ratios, ratio 61.8% is obtained by dividing one number in the series by the number that follows it. For example, 8/13 = 0.615 (61.5%) while 21/34 = …
Hybrid hyper fibonacci numbers
Did you know?
Web27 mrt. 2024 · Hybrid hyper-Fibonacci and hyper-Lucas numbers Yasemin Alp Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN … WebThe generalized hybrid Fibonacci polynomials in two variables x and y of degree n, denoted by f(H) n (x,y) is f(H) n (x,y) = 1 x2 +4y x + x2 +4y 2 n − x − x2 +4y 2 n (2.1) …
WebThe generating functions of hyper-Fibonacci and hyper-Lucasnumbersare[4]: X1 n=0 F(r) nt n= t (1 t t2)(1 t)r ; X1 n=0 L(r) nt n= 2 t (1 t t2)(1 t)r : Also,thehyper-Fibonacciandhyper-Lucasnumbershavetherecurrencerelations F(r) n=F (r) n 1+F (r 1) nandL (r) n=L (r) n 1+L (r 1) n,respectively. Thefirstfewvalues ofF(r) nandL http://jmi.ele-math.com/08-52/On-the-norms-of-r-circulant-matrices-with-the-hyper-Fibonacci-and-Lucas-numbers
Web6 jan. 2024 · In this paper, we develop a new formula for hyper-Fibonacci numbers $F_n^{[k]}$, wherein the coefficients (related to Stirling numbers of the first kind) of the … Web1 jul. 2024 · Kızılateş [24] introduced -Fibonacci and -Lucas hybrid numbers, and gave some of their algebraic properties. A new class of quaternions, octanions and sedenions …
Web8 mei 2024 · In this paper, we develop a new formula for hyper-Fibonacci numbers Fn[k] wherein the coefficients (related to Stirling numbers of the first kind) of the polynomial … microwave black and decker priceWeb30 apr. 2024 · The proposed algorithm utilized a six-dimension (6D) hyperchaotic system and Fibonacci Q-matrix to encrypt grayscale images through two main steps. First, the pixels’ positions in the original image scrambled using the 6D hyperchaotic system. Only three sequences from this 6D hyperchaotic system were randomly selected to permit the … news in durham cityWebUsing the rules given in Table 1. the multiplication of hybrid numbers can be made analogously as multiplications of algebraic expressions. The conjugate of a hybrid number Z is defined by (4) Z = a+ bi + cǫ+ dh = a −bi−cǫ−dh. The real number (5) C(Z) = ZZ = ZZ = a2+ (b−c)2−c2−d2= a2+ b2−2bc −d2 is called the character of the hybrid numberZ. new sindyWeb1 jan. 2024 · These two families of the hybrid numbers are called as the q − Fibonacci hybrid numbers and q − Lucas hybrid numbers, respectively. We give the special … microwave black and whiteWebAkyüz, Applications of the Fibonacci and Lucas numbers in matrices with maximum and minimum elements, M.Sc. Thesis, Graduate School of Natural and Applied Sciences, Aksaray University (2024). Google Scholar news in durham ncWeb29 jun. 2024 · In the paper, we define the Fibonacci hybrid numbers and the Lucas hybrid numbers, respectively. Then, we give some algebraic properties of the Fibonacci … microwave black friday 2016WebWe give recurrence relation, Binet formula, generating function and exponential generating function of higher order Fibonacci 2m-ions. We also derive some identities such as Vajda’s identity, Catalan’s identity, Cassini’s identity, and d’Ocagne’s identity with the aid of … microwave black