Results 51 to 60 of about 781 (209)

Extended Laguerre Polynomials Associated with Hermite, Bernoulli, and Euler Numbers and Polynomials [PDF]

Abstract and Applied Analysis, 2012
Let Pn = {p(x) ∈ ℝ[x]∣deg  p(x) ≤ n} be an inner product space with the inner product , where p(x), q(x) ∈ Pn and α ∈ ℝ with α > −1. In this paper we study the properties of the extended Laguerre polynomials which are an orthogonal basis for Pn.
Kim, Taekyun, Kim, Dae San
openaire   +3 more sources

Flow Characteristics and Response Surface Methodology‐Based Pressure‐Loss Prediction Models for the Reverse Circulation Converter in Double‐Wall Drill Pipes

Energy Science &Engineering, EarlyView.
Flow characteristics and pressure loss mechanisms of a reverse circulation converter in dual‐wall drill pipes are systematically investigated using CFD and response surface methodology. The results reveal the dominant role of inertial dissipation and provide a predictive framework for optimizing converter design and operational parameters. ABSTRACT The
Mingming Geng, Hui Zhang, Junpeng Li, Baokang Wu, Geng Zhang, Xinrui Wang, Jintao An, Long Chen, Yiming Ma   +8 more
wiley   +1 more source

Degenerate Bell polynomials associated with umbral calculus

Journal of Inequalities and Applications, 2020
Carlitz initiated a study of degenerate Bernoulli and Euler numbers and polynomials which is the pioneering work on degenerate versions of special numbers and polynomials.
Taekyun Kim, Dae San Kim, Han-Young Kim, Hyunseok Lee, Lee-Chae Jang   +4 more
doaj   +1 more source

Analytic continuation of q-Euler numbers and polynomials

Applied Mathematics Letters, 2008
In this paper we study that the $q$-Euler numbers and polynomials are analytically continued to $E_q(s)$. A new formula for the Euler's $q$-Zeta function $ζ_{E,q}(s)$ in terms of nested series of $ζ_{E,q}(n)$ is derived. Finally we introduce the new concept of the dynamics of analytically continued $q$-Euler numbers and polynomials.
openaire   +3 more sources

Some New Formulae for Genocchi Numbers and Polynomials Involving Bernoulli and Euler Polynomials [PDF]

International Journal of Mathematics and Mathematical Sciences, 2014
We give some new formulae for product of two Genocchi polynomials including Euler polynomials and Bernoulli polynomials. Moreover, we derive some applications for Genocchi polynomials to study a matrix formulation.
Serkan Araci, Mehmet Açikgöz, Erdogan Sen   +2 more
openaire   +2 more sources

Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal, Ana Jacinta Soares, Maria Joana Torres   +2 more
wiley   +1 more source

Apostol type (p, q): Frobenius-Euler polynomials and numbers [PDF]

Kragujevac Journal of Mathematics, 2018
Summary: In the present paper, we introduce \((p,q)\)-extension of Apostol type Frobenius-Euler polynomials and numbers and investigate some basic identities and properties for these polynomials and numbers, including addition theorems, difference equations, derivative properties, recurrence relations and so on.
Ugur Duran, Mehmet Acikgoz
openaire   +5 more sources

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Degenerate Fubini-Type Polynomials and Numbers, Degenerate Apostol–Bernoulli Polynomials and Numbers, and Degenerate Apostol–Euler Polynomials and Numbers

Axioms, 2022
In this paper, by introducing degenerate Fubini-type polynomials, with the help of the Faà di Bruno formula and some properties of partial Bell polynomials, the authors provide several new explicit formulas and recurrence relations for Fubini-type ...
Siqintuya Jin, Muhammet Cihat Dağli, Feng Qi   +2 more
doaj   +1 more source

Vibration Attenuation of Cantilever Beam Using Electromagnetic Delayed Feedback

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This study presents a combined analytical and numerical investigation of a single‐input single‐output delayed feedback controller designed to suppress vibrations in a cantilever beam actuated by an electromagnet positioned beneath its free end. An analytical model was developed using the linearized equation of motion for a transversely excited
Mohammad Alabdullah, Khaled Alhazza
wiley   +1 more source