Results 91 to 100 of about 916 (205)

Design and Experimental Characterization of a Tendon‐Driven Anthropomorphic Finger With Adaptive Compliance

open access: yesJournal of Robotics, Volume 2026, Issue 1, 2026.
The primary objective of a soft robotic finger is to reproduce the functional versatility of the human hand by incorporating intrinsic flexibility. By mimicking the human finger’s morphology, structural organization, and kinematic behavior, the system enables anthropomorphic motion that provides enhanced adaptability and dexterity.
Blanka Bakos   +3 more
wiley   +1 more source

ON THE ZEROS OF THE DERIVATIVES OF FIBONACCI AND LUCAS POLYNOMIALS

open access: yesJournal of New Theory, 2015
The purpose of this article is to derive some functions which map the zeros of Fibonacci polynomials to the zeros of Lucas polynomials. Also we find some equations which are satisfied by F 0 n (x) and so L 00 n (x).
Nihal Yılmaz Özgür   +1 more
doaj  

(Random) Trees of Intermediate Volume Growth

open access: yesRandom Structures &Algorithms, Volume 67, Issue 4, December 2025.
ABSTRACT For every function g:ℝ≥0→ℝ≥0$$ g:{\mathbb{R}}_{\ge 0}\to {\mathbb{R}}_{\ge 0} $$ that grows at least linearly and at most exponentially, if it is sufficiently well‐behaved, we can construct a tree T$$ T $$ of uniform volume growth g$$ g $$, or more precisely, C1·g(r/4)≤|BG(v,r)|≤C2·g(4r),for allr≥0andv∈V(T),$$ {C}_1\cdotp g\left(r/4\right)\le \
George Kontogeorgiou, Martin Winter
wiley   +1 more source

Fundamental Solutions and Green's Functions for Certain Elliptic Differential Operators From a Pseudodifferential Algebra

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12654-12674, September 2025.
ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad   +1 more
wiley   +1 more source

Special type of bernoulli polynomials and hyperbolic fibonacci functions [PDF]

open access: yes, 2023
Bernoulli numbers and Bernoulli polynomials have been studied by many researchers recently, as they are widely used in mathematics, engineering and other disciplines.
Yazlık, Yasin, Köme, Sure
core  

Fibonacci numbers and orthogonal polynomials [PDF]

open access: yes, 2010
We prove that the sequence (1/Fn+2)n⩾0 of reciprocals of the Fibonacci numbers is a moment sequence of a certain discrete probability measure and we identify the orthogonal polynomials as little q-Jacobi polynomials with q=1-5/1+5.
Christian Berg, Berg, Christian
core   +1 more source

Binomial Identities Involving the Generalized Fibonacci Type Polynomials [PDF]

open access: yes, 2011
We present some binomial identities for sums of the bivariate Fibonacci polynomials and for weighted sums of the usual Fibonacci polynomials with indices in arithmetic ...
Irmak, Nurettin, Kılıç, Emrah
core   +5 more sources

Fibonacci Operational Matrix Algorithm For Solving Differential Equations Of Lane-Emden Type

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
The aim of this study is presentan effective and correct technique for solving differential equations ofLane-Emden type as initial value problems. In this work, a numerical method namedas the Fibonacci polynomial approximation method, for the approximate
Musa Çakmak
doaj   +1 more source

GENERATING FUNCTIONS FOR THE GENERALIZED BIVARIATE FIBONACCI AND LUCAS POLYNOMIALS [PDF]

open access: yes, 2015
The main object of this study is to derive various families of multilinear and multilateral generating functions for the generalized bivariate Fibonacci and Lucas polynomials.
TUĞLU, NAİM, Erkus-Duman, ESRA
core  

On the sequences of $(q,k)$-generalized Fibonacci numbers [PDF]

open access: yesMathematica Bohemica
We consider a new family of recurrence sequences, the $(q,k)$-generalized Fibonacci numbers. These sequences naturally extend the well-known sequences of $k$-generalized Fibonacci numbers and generalized $k$-order Pell numbers.
Jean Lelis   +3 more
doaj   +1 more source

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