Results 171 to 180 of about 1,668,226 (212)

Severe infection incidence among young infants in Dhaka, Bangladesh: an observational cohort study. [PDF]

BMJ Public Health
Fung A, Heasley C, Pell LG, Bassani DG, Shah PS, Morris SK, Hamer D, Islam MS, Mahmud AA, Pullenayegum E, Saha SK, Haque R, Hossain MI, Chen CY, Emdin A, O'Callaghan KM, Loutet MG, Sultana S, Billah SMM, Gaffar SMA, Karim E, Sayed S, Yeasmin S, Hoque MM, Ahmed T, Sarker SA, Roth DE.   +26 more
europepmc   +1 more source

Shared and distinct pathways from anxiety disorder and depression to cardiovascular disease: a UK Biobank prospective cohort study

Nakada S, Celis-Morales C, Pell JP, Ho FK.   +3 more
europepmc   +1 more source

Binomial Transform of the Generalized Third Order Pell Sequence

Communications in Mathematics and Applications, 2021
In this paper, we define the binomial transform of the generalized third order Pell sequence and as special cases, the binomial transform of the third order Pell, third Order Pell-Lucas and modified third order Pell sequences will be introduced.
Yuksel Soykan
exaly   +2 more sources

Powers in Products of Terms of Pell's and Pell–Lucas Sequences [PDF]

International Journal of Number Theory, 2015
In this paper, we consider the usual Pell and Pell–Lucas sequences. The Pell sequence [Formula: see text] is given by the recurrence un= 2un-1+ un-2with initial condition u0= 0, u1= 1 and its associated Pell–Lucas sequence [Formula: see text] is given by the recurrence vn= 2vn-1+ vn-2with initial condition v0= 2, v1= 2.
Shanta Laishram, Jhon Jairo Bravo Grijalba, Pranabesh Das   +2 more
exaly   +3 more sources

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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.
Yashwant Panwar
exaly   +3 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, Selime Beyza Özçevik, Şenol Eren   +2 more
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A new member of the Pell sequences: the pseudo-Pell sequence

Studia 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.
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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, KARADUMAN, Erdal, DEVECİ, ÖMÜR   +2 more
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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