Results 51 to 60 of about 1,596 (244)
On orthogonal polynomials related to arithmetic and harmonic sequences
In this paper we study special systems of orthogonal polynomials on the unit circle. More precisely, with a view to the recurrence relations fulfilled by these orthogonal systems, we analyze a link of non-negative arithmetic to harmonic sequences as a ...
Bultheel, Adhemar, Lasarow, Andreas
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Generalized Horadam-Leonardo Numbers and Polynomials
In this study, we define and investigate some linear third order polynomials called the generalized Horadam-Leonardo polynomials (with its two special cases, namely), (r, s)-Horadam-Leonardo and (r, s)-Horadam-Leonardo-Lucas polynomials.
Yüksel Soykan, Soykan, Yüksel
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Multiplex Modular Nanorobotic Systems with Catalytic Activity under Magnetic Navigation
We present modular nanorobots composed of a magnetic propulsion module and different extension modules carrying functional activities, assembled via DNA base pairing. The system integrates propulsion, optical tracking, enzymatic catalysis, and cell docking in a programmable manner.
Voichita Mihali +7 more
wiley +1 more source
AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
wiley +1 more source
SPECIAL VALUES OF THE BELL POLYNOMIALS OF THE SECOND KIND FOR SOME SEQUENCES AND FUNCTIONS: Special values of Bell polynomials of second kind [PDF]
In the paper, the authors concisely review some closed formulas and applications of special values of the Bell polynomials of the second kind for some special sequences and elementary functions, explicitly present closed formulas for those sequences ...
Qi, Feng +3 more
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Anion‐exchange doping of conjugated polymers is an effective way to achieve high conductivities. Here, we report over 2000 S cm−1 electrical conductivity for doped P(g3BTTT). In addition, we show that P(g3BTTT) sustains exceptionally high doping levels without any drop in the charge mobility.
Basil Hunger +14 more
wiley +1 more source
Relating certain coefficients of special hyperholomorphic polynomials with a Horadam sequence
Hyperholomorphic polynomials are generalizations of holomorphic polynomials to higher dimensions in the framework of hypercomplex function theory. We consider a special sequence of hyperholomorphic polynomials whose coefficients can be arranged as triangular arrays of the Pascal type.
Cação, I. +3 more
openaire +2 more sources
AI–Guided 4D Printing of Carnivorous Plants–Inspired Microneedles for Accelerated Wound Healing
This work presents an artificial intelligence (AI)‐guided 4D‐printed microneedle platform inspired by carnivorous plants for wound healing. A thermo‐responsive shape memory polymer enables body temperature–triggered self‐coiling for autonomous wound closure.
Hyun Lee +21 more
wiley +1 more source
On Type 2 Degenerate Poly-Frobenius-Euler Polynomials
Background: This paper introduces a class of special polynomials called Type 2 degenerate poly-Frobenius-Euler polynomials, defined using the polyexponential function. Motivated by the expanding theory of degenerate versions of classical polynomials, the
Roberto B. Corcino +2 more
doaj +1 more source
Symmetric third-order recurring sequences, Chebyshev polynomials, and Riordan arrays [PDF]
We study a family of symmetric third-order recurring sequences with the aid of Riordan arrays and Chebyshev polynomials. Formulas involving both Chebyshev polynomials and Fibonacci numbers are established.
Barry, P., Barry, Paul
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