Results 171 to 180 of about 1,743 (195)

Neonatal administration of Lactiplantibacillus plantarum ATCC 202195 with or without fructooligosaccharide in Bangladesh: a placebo-controlled randomized trial. [PDF]

open access: yesmSphere
Pell LG   +25 more
europepmc   +1 more source

Detection and absolute quantification of <i>Lactiplantibacillus plantarum</i> ATCC 202195 by quantitative real-time PCR. [PDF]

open access: yesMicrobiol Spectr
Shawon J   +13 more
europepmc   +1 more source

The quaternion-Pell sequence

open access: yesCommunications in Algebra, 2018
In this paper, we define the quaternion-Pell sequence and derive the generating matrix of the sequence.
Ömür Deveci, Anthony G. Shannon
openaire   +2 more sources

A new member of the Pell sequences: the pseudo-Pell sequence

open access: yesStudia Universitatis Babes-Bolyai Matematica
In this study, we define a new family of the Pell numbers and establish some properties of the relation to the ordinary Pell numbers. We give some identities the pseudo-Pell numbers. Moreover, we obtain the Binet’s formula, generating function formula and some formulas for this new type numbers.
GÖKBAŞ, Hasan
openaire   +3 more sources

Identities of Generalized Pell and Pell-Lucas Sequences

NATURENGS MTU Journal of Engineering and Natural Sciences Malatya Turgut Ozal University, 2022
In this paper, we present sums of generalized Pell and Pell-Lucas sequences. These sequences were introduced by Tulay Yagmur in 2019. We establish some connection formulae of involving them. Also, we present its two cross two matrix representation. We have used their Generating function, Binet’s formula and Induction method to derive the identities.
openaire   +2 more sources

Power Pell Sequences, Some Periodic Relations of These Sequences, and a Cryptographic Application With Power Pell Sequences

2022
Here, first of all, the authors investigated power Fibonacci sequence modulo k and formulas for the periods of these sequences, based on the period of the Fibonacci sequence modulo k. And then, the authors described a new power sequence for positive integer modulus. They named these sequences power Pell sequences modulo k.
Çağla Çelemoğlu   +2 more
openaire   +1 more source

New approach to Pell and Pell-Lucas sequences

2019
Summary: In this paper, we first define generalizations of Pell and Pell-Lucas sequences by the recurrence relations \[p_n=2ap_{n-1}+(b-a^2)p_{n-2} \quad \text{and}\quad q_n=2aq_{n-1}+(b-a^2)q_{n-2}\] with initial conditions \(p_0 = 0\), \(p_1 = 1\), and \(q_0 = 2\), \(q_1 = 2a\), respectively.
openaire   +2 more sources

The Generalized Pell p-Sequences in Groups.

Ars Comb., 2015
In this paper, we study the generalized Pell p-sequences modulo M. Also, we define the generalized Pell p-sequences and the basic generalized Pell p-sequences in groups and then we examine these sequences in finite groups. Furthermore, we obtain the periods of the generalized Pell p-sequences and the basic periods of the basic generalized Pell p ...
Akdeniz, Merve   +2 more
openaire   +1 more source

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