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Traditional vs. orthodontic extraction of impacted teeth related to the inferior alveolar nerve: a randomized control trial. [PDF]
Askin Ekinci S +3 more
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Neonatal administration of Lactiplantibacillus plantarum ATCC 202195 with or without fructooligosaccharide in Bangladesh: a placebo-controlled randomized trial. [PDF]
Pell LG +25 more
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Detection and absolute quantification of <i>Lactiplantibacillus plantarum</i> ATCC 202195 by quantitative real-time PCR. [PDF]
Shawon J +13 more
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In this paper, we define the quaternion-Pell sequence and derive the generating matrix of the sequence.
Ömür Deveci, Anthony G. Shannon
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A new member of the Pell sequences: the pseudo-Pell sequence
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
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Identities of Generalized Pell and Pell-Lucas Sequences
NATURENGS MTU Journal of Engineering and Natural Sciences Malatya Turgut Ozal University, 2022In 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.
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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
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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
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New approach to Pell and Pell-Lucas sequences
2019Summary: 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.
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The Generalized Pell p-Sequences in Groups.
Ars Comb., 2015In 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
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