Results 91 to 100 of about 1,206 (140)

Relations Established Between Hypergeometric Functions and Some Special Number Sequences

open access: yesAxioms
In this paper, we establish new hypergeometric representations for two classical integer sequences, namely the Pell and Jacobsthal sequences. Motivated by Dilcher’s hypergeometric formulations of the Fibonacci sequence, we extend this framework to other ...
Sukran Uygun, Berna Aksu, Hulya Aytar
doaj   +1 more source

Novel Classes on Generating Functions of the Products of (p,q)-Modified Pell Numbers with Several Bivariate Polynomials

open access: yesMathematics
In this paper, using the symmetrizing operator δe1e22−l, we derive new generating functions of the products of p,q-modified Pell numbers with various bivariate polynomials, including Mersenne and Mersenne Lucas polynomials, Fibonacci and Lucas ...
Ali Boussayoud   +2 more
doaj   +1 more source

Sums of generalized third-order Jacobsthal numbers by matrix methods

open access: yesTrends in Computational and Applied Mathematics
In this paper, we consider a certain third-order linear recurrence and then give generating matrices for the sums of positively and negatively subscripted terms of this recurrence.
G. Cerda-Morales
doaj   +1 more source

A Note on Generalized k-Order F&L Hybrinomials

open access: yesAxioms
In this study, we introduce generalized k-order Fibonacci and Lucas (F&L) polynomials that allow the derivation of well-known polynomial and integer sequences such as the sequences of k-order Pell polynomials, k-order Jacobsthal polynomials and k-order ...
Süleyman Aydınyüz   +1 more
doaj   +1 more source

Complete genome sequence of Treponema paraluiscuniculi, strain Cuniculi A: the loss of infectivity to humans is associated with genome decay. [PDF]

open access: yesPLoS One, 2011
Šmajs D   +14 more
europepmc   +1 more source

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