Results 61 to 70 of about 209 (173)
Journal of Inequalities and Applications, 2020 The goal of this paper is to demonstrate many explicit computational formulas and relations involving the Changhee polynomials and numbers and their differential equations with the help of functional equations and partial derivative equations for ...
Ji Suk So, Yilmaz Simsek
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Some Identities for the Bernoulli, the Euler and the Genocchi Numbers and Polynomials
, 2009 The purpose of this paper is to give some new identities for the Bernoulli, the Euler and the Genocchi numbers and polynomials.
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Universality for fluctuations of counting statistics of random normal matrices
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We consider the fluctuations of the number of eigenvalues of n×n$n\times n$ random normal matrices depending on a potential Q$Q$ in a given set A$A$. The eigenvalues of random normal matrices are known to form a determinantal point process, and are known to accumulate on a compact set called the droplet under mild conditions on Q$Q$. When A$A$
Jordi Marzo +2 more
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One‐Dimensional Finite Elements With Arbitrary Cross‐Sectional Displacement Fields
International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.ABSTRACT This paper introduces an unprecedented unified approach for developing structural theories with an arbitrary kinematic variable over the beam cross‐section. Each of the three displacement variables can be analyzed using an independent expansion function. Both the order of the expansion and the number of terms in each field can be any. That is,
E. Carrera, D. Scano, E. Zappino
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Advanced Theory and Simulations, Volume 9, Issue 1, January 2026.This study develops a superconvergent meshless method to analyze and control vibrations in twisted, bidirectional functionally graded Terfenol‐D beams. By optimizing magnetostrictive patch placement, it demonstrates effective vibration suppression under dynamic loads, highlighting the design potential of strategically graded materials in complex ...
Mukund A. Patil +2 more
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On Degenerate Truncated Special Polynomials
Mathematics, 2020 The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special proof ...
Ugur Duran, Mehmet Acikgoz
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A Note On Multi Poly-Euler Numbers And Bernoulli Polynomials
, 2014 13 ...
Jolany, Hassan +3 more
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Robotic Needle Steering for Percutaneous Interventions: Sensing, Modeling, and Control
Advanced Intelligent Systems, Volume 8, Issue 1, January 2026.This review examines recent advances in robotic needle steering for percutaneous interventions, highlighting closed‐loop sensing, physics‐informed tissue‐needle interaction modeling, and real‐time trajectory planning and control. It synthesizes innovations in deep learning, fiber‐optic feedback, and adaptive control strategies, and outlines emerging ...
Fangjiao Zhao +5 more
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AxiomsIn this paper, we derive novel formulas and identities connecting Cauchy numbers and polynomials with both ordinary and generalized Stirling numbers, binomial coefficients, central factorial numbers, Euler polynomials, r-Whitney numbers, and ...
José L. Cereceda
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Notes on Number Theory and Discrete Mathematics, 2023 The main aim of this paper is to introduce and investigate the degenerate type 2-unified Apostol–Bernoulli, Euler and Genocchi polynomials by using monomiality principle and operational methods. We give explicit relations and some identities for the degenerate type 2-unified Apostol–Bernoulli, Euler and Genocchi polynomials.
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