Ordering of nested square roots of 2 according to the Gray code

DOI10.1007/S11139-016-9862-5zbMath1394.40008arXiv1604.00222OpenAlexW3098796670MaRDI QIDQ1696813

Alberto Maria Bersani, Pierluigi Vellucci

Publication date: 15 February 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.00222

zbMATH Keywords

Gray codenested radicalscontinued radicalscontinued rootszeros of Chebyshev polynomials

Mathematics Subject Classification ID

Real polynomials: location of zeros (26C10) Elementary number theory (11A99) Convergence and divergence of infinite limiting processes (40A99)

Related Items (6)

Bi-Bazilevič functions of order \(\vartheta +i\delta\) associated with \((p, q)\)-Lucas polynomials ⋮ A subclass with bi-univalence involving \((\mathfrak{p},\mathfrak{q})\)-Lucas polynomials and its coefficient bounds ⋮ (p, q)-Lucas polynomials and their applications to bi-univalent functions ⋮ Unnamed Item ⋮ On the \((p, q)\)-Lucas polynomial coefficient bounds of the bi-univalent function class \(\sigma\) ⋮ \(\pi\)-formulas and Gray code

Cites Work

• A complete view of Viète-like infinite products with Fibonacci and Lucas numbers
• On Viète-like formulas
• Chebyshev polynomials and nested square roots
• Continued reciprocal roots
• Continued radicals
• A Class of Continued Radicals
• A Class of Periodic Continued Radicals
• More Nested Square Roots of 2
• Nested Square Roots of 2
• Continued Roots
• Nested Radicals
• The class of Lucas-Lehmer polynomials
• Using Difference Equations to Generalize Results for Periodic Nested Radicals
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