Results 51 to 60 of about 133 (111)

HIGHER ORDER RECURRENCES FOR ANALYTICAL FUNCTIONS OF TCHEBYSHEFF TYPE [PDF]

, 1999
. Relation of hyperbolons of volume one to generalized Clifford algebras is described in [1b] and there some applications are listed. In this note which is an extension of [8] we use the one parameter subgroups of the group of hyperbolons of volume one ...
A. K. Kwa´sniewski
core  

On a New Generalization of Pell Hybrid Numbers

Annales Mathematicae Silesianae
In this paper, we define and study a new one-parameter generalization of the Pell hybrid numbers. Based on the definition of r-Pell numbers, we define the r-Pell hybrid numbers.
Bród Dorota, Szynal-Liana Anetta, Włoch Iwona   +2 more
doaj   +1 more source

Analytic Properties of the Apostol-Vu Multiple Fibonacci Zeta Functions

Discussiones Mathematicae - General Algebra and Applications, 2020
In this note we study the analytic continuation of the Apostol-Vu multiple Fibonacci zeta functions ζAVF,k(s1,…,sk,sk+1)=∑1 ...
Dutta Utkal Keshari, Ray Prasanta Kumar
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Generalized apostol-type polynomial matrix and its algebraic properties [PDF]

, 2019
The aim of this paper is to introduce the generalized Apostol-type polynomial matrix W [m−1,α](x;c,a;λ;µ;ν) and the generalized Apos-tol-type matrix W [m−1,α](c,a;λ;µ;ν).
Ramírez, William, Quintana, Yamilet, Urieles Guerrero, Alejandro   +2 more
core  

On The Order Of Convergence Of A Determinantal Family Of Root-Finding Methods [PDF]

, 1997
For each natural number m greater than one, and each natural number k less than or equal to m, there exists a root-finding iteration function, defined as the ratio of two determinants that depend on the first m \Gamma k derivatives of the given function,
Bahman Kalantari
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On Matrices with Bidimensional Fibonacci Numbers

Annales Mathematicae Silesianae
In this paper, the bidimensional extensions of the Fibonacci numbers are explored, along with a detailed examination of their properties, characteristics, and some identities.
Costa Eudes Antonio, Catarino Paula M.M.C.   +1 more
doaj   +1 more source

A Fibonacci-like sequence of composite numbers [PDF]

, 1999
In 1964, Ronald Graham proved that there exist relatively prime natural numbers a and b such that the sequence fA n g defined by A n = A n\Gamma1 +A n\Gamma2 (n 2; A 0 = a; A 1 = b) contains no prime numbers, and constructed a 34-digit pair ...
John W. Nicol
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Generalized Commutative Mersenne and Mersenne–Lucas Quaternion Polynomials

Annales Mathematicae Silesianae
Generalized commutative quaternions generalize elliptic, parabolic and hyperbolic quaternions, bicomplex numbers, complex hyperbolic numbers and hyperbolic complex numbers. In this paper, we use the Mersenne numbers and polynomials in the theory of these
Bród Dorota, Szynal-Liana Anetta, Liana Mirosław   +2 more
doaj   +1 more source

On Powers, Roots and Moore–Penrose Inverses of Matrices Via Generalized Fibonacci Numbers

Annales Mathematicae Silesianae
The purpose of this work is to introduce some new results about the relations between powers, roots and Moore–Penrose inverses of square matrices satisfying a cubic matrix equation and the generalized Fibonacci numbers.
Karakaya Sinan, Özdemir Halim, Özban Ahmet Yaşar   +2 more
doaj   +1 more source

On topological properties of spaces obtained by the double band matrix

Open Mathematics, 2017
Let λ denote any one of the spaces ℓ∞ and ℓp and λ(Ť) be the domain of the band matrix Ť. We study ℓp(Ť) for 1 ≤ p ≤ ∞ and give some inclusions and its topological properties.
Zeren Suzan, Bektaş Çiğdem
doaj   +1 more source