On a new generalization of bihyperbolic Pell numbers
Annals of the Alexandru Ioan Cuza University - Mathematics, 2021 Dorota Bród +2 more
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On concatenations of two $k$-generalized Pell numbers
We study the concatenation of two $k$-generalized Pell numbers. More precisely, we determine all solutions of the equation $P_n^{(k)} = P_m^{(k)} \cdot 10^{d} + P_p^{(k)}$, where $d$ is the number of decimal digits of $P_p^{(k)}$. We prove that for $k \ge 3$ there are no solutions, while for $k = 2$ the only solution is $P_4 = 12 = 1\|2$.
Deme, Cherif B. +3 more
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Generalized Version of the Characteristic Number of Two Simultaneous Pell's Equations
Rocky Mountain Journal of Mathematics, 2006 Given the integers \(D,N\), where \(D\) is positive and not a perfect square, it is a well known classical fact that all integer solutions \((U,V)\) of the equation \(U^2-DV^2=N\) are obtained by means of the relation \(U_n+V_n\sqrt{D}=(u+v\sqrt{D})(a+b\sqrt{D})^n\), where \((a,b)\) is the fundamental solution of the Pell equation \(x^2-Dy^2=1\), while
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A study on dual hyperbolic generalized Pell numbers
Malaya Journal of Matematik, 2022 Yüksel Soykan +2 more
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Is chronological age predictable on panoramic images using the Demirjian method on third molars? Insights from a Turkish population-based study. [PDF]
Med Oral Patol Oral Cir BucalTas A, Agbulut N, Oztoprak Y, Aydin K.
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Individual and joint associations of anxiety disorder and depression with cardiovascular disease: A UK Biobank prospective cohort study. [PDF]
Eur Psychiatry, 2023 Nakada S +4 more
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On generalized order-k modified Pell and Pell–Lucas numbers in terms of Fibonacci and Lucas numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2020 openaire +1 more source
Impacted third molars and their influence on second molar pathologies: radiological patterns, statistical analysis, and emerging AI perspectives. [PDF]
Front Dent MedLuca RE +5 more
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An optimized substitution box generator based on cubic pell curves and its application in image encryption. [PDF]
Sci RepKhan MAM, Azam NA, Kamarulhaili H.
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Prenatal exposure to maternal asthma and asthma medication and neurodevelopmental outcomes: a population cohort study of 179,024 children. [PDF]
BMC MedShakhshir LA +7 more
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