Generalized Stability of Euler-Lagrange Quadratic Functional Equation by Hark-Mahn Kim, Min-Young Kim

“…The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability theorem of the following Euler-Lagrange type quadratic functional equation f(ax+by)+af(x-by)=(a+1)b2f(y)+a(a+1)f(x), in (β,p)-Banach space, where a,b are fixed rational numbers such that a≠-1,0 and b≠0.…”
Get full text

Construction on the Degenerate Poly-Frobenius-Euler Polynomials of Complex Variable by Ghulam Muhiuddin, Waseem Ahmad Khan, Deena Al-Kadi

“…We give some relationships between degenerate poly-Frobenius-Euler polynomials and degenerate Whitney numbers and Stirling numbers of the first kind. …”
Get full text

Free Vibrations of an Elastically Restrained Euler Beam Resting on a Movable Winkler Foundation by Qiang Zhou, Tong Wang

“…A general model is presented for the free vibration of a Euler beam supported on a movable Winkler foundation and with ends elastically restrained by two vertical and two rotational springs. …”
Get full text

A new approach to error inequalities: From Euler-Maclaurin bounds to cubically convergent algorithm by Miguel Vivas-Cortez, Usama Asif, Muhammad Zakria Javed, Muhammad Uzair Awan, Yahya Almalki, Omar Mutab Alsalami

“…With the help of a new auxiliary result and some well-known ones, like Hölder's, the power mean, improved Hölder, improved power mean, convexity, and bounded features of the function, we obtained new bounds for Euler-Maclaurin's inequality. From an applicable perspective, we developed several intriguing applications of our results, which illustrated the relationship between the means of real numbers and the error bounds of quadrature schemes. …”
Get full text

An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function by Chinnaraji Annamalai, Antonio Marcos de Oliveira Siqueira

“…For them, this paper presents the derivation of gamma function from the natural logarithm and Euler’s factorial function. Also, a novel factorial theorem, which is alternative to the gamma function, is introduced in this article and it computes the accurate values of factorial for positive real numbers.     …”
Get full text

Degenerate Poly-Lah-Bell Polynomials and Numbers by Taekyun Kim, Hye Kyung Kim

“…In addition, we obtain various algebraic identities including Lah numbers, the degenerate Stirling numbers of the first and second kind, the degenerate poly-Bell polynomials, the degenerate poly-Bernoulli numbers, and the degenerate poly-Genocchi numbers.…”
Get full text

Performance Evaluation of FPGA-Based Design of Modified Chua Oscillator by Filips Capligins, İsmail Koyuncu, Anna Litvinenko, Muhammed Furkan Taşdemir

“…Presented in this study, the Modified Chua chaotic oscillator has been designed to work on FPGA chips using fixed point and floating point number systems. Euler numeric algorithm has been used for the design of the Modified Chua chaotic oscillator. …”
Get full text

Two New Generalizations of Extended Bernoulli Polynomials and Numbers, and Umbral Calculus by Nabiullah Khan, Mohd Ghayasuddin, Dojin Kim, Junesang Choi

“…Among a remarkably large number of various extensions of polynomials and numbers, and diverse introductions of new polynomials and numbers, in this paper, we choose to introduce two new generalizations of some extended Bernoulli polynomials and numbers by using the Mittag–Leffler function and the confluent hypergeometric function. …”
Get full text

Numerical Study of a Supersonic Nozzle Gas Jet Laden with a Dry Powder Fire-extinguishing Agent Injected from a Bypass Injector by L. Zhang, S. Wu, Y. Feng, H. Guan

“…To enhance the firefighting capabilities of traditional dry powder extinguishers, we incorporated an air-assisted supersonic nozzle, which is simulated using Euler-Lagrange interphase coupling to simulate the injection of firefighting agents into a supersonic, two-dimensional axisymmetric gas flow from a bypass injector. …”
Get full text

Free and Forced Vibrations of an Axially-Loaded Timoshenko Multi-Span Beam Carrying a Number of Various Concentrated Elements by Yusuf Yesilce

“…In the existing reports regarding free and forced vibrations of the beams, most of them studied a uniform beam carrying various concentrated elements using Bernoulli-Euler Beam Theory (BET) but without axial force. …”
Get full text

Summatory Multiplicative Arithmetic Functions: Scaling and Renormalization by Leonid G. Fel

“…We apply the derived formulas to a large number of basic summatory functions including the Euler <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ϕ</mi><mo>(</mo><mi>k</mi><mo>)</mo></mrow></semantics></math></inline-formula> and Dedekind <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ψ</mi><mo>(</mo><mi>k</mi><mo>)</mo></mrow></semantics></math></inline-formula> totient functions, divisor <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>σ</mi><mi>n</mi></msub><mrow><mo>(</mo><mi>k</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> and prime divisor <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>β</mi><mo>(</mo><mi>k</mi><mo>)</mo></mrow></semantics></math></inline-formula> functions, the Ramanujan sum <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>C</mi><mi>q</mi></msub><mrow><mo>(</mo><mi>n</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> and Ramanujan <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>τ</mi></semantics></math></inline-formula> Dirichlet series, and others.…”
Get full text

Chronic fatigue and headache in post-COVID-19 syndrome: a radiological and clinical evaluation by Gonçalo G. Almeida, Gonçalo G. Almeida, Saide Alkan, Saide Alkan, Robert Hoepner, André Euler, André Euler, Lara Diem, Franca Wagner

Get full text

ON APPROXIMATION OF SUM OF CONVERGENT SERIES by Daya Ram Paudyal, Lakshmi Narayan Mishra

Get full text

Plasticity of Mesenchymal Stem Cells from Mouse Bone Marrow in the Presence of Conditioned Medium of the Facial Nerve and Fibroblast Growth Factor-2 by Eudes Euler de Souza Lucena, Fausto Pierdoná Guzen, José Rodolfo Lopes de Paiva Cavalcanti, Maria Jocileide de Medeiros Marinho, Wogelsanger Oliveira Pereira, Carlos Augusto Galvão Barboza, Miriam Stela Mariz de Oliveira Costa, Expedito Silva do Nascimento Júnior, Jeferson Sousa Cavalcante

Get full text

Optimization of Hydraulic Machinery Bladings by Multilevel CFD Techniques by Susanne Thum, Rudolf Schilling

“…On the first optimization level, a quasi-3D Euler code (EQ3D) is applied. To guarantee a sufficiently accurate result, the code is calibrated by a Navier-Stokes recalculation of the initial design and can be recalibrated after a number of optimization steps by another Navier-Stokes computation. …”
Get full text

Time variations in the generation time of an infectious disease:Implications for sampling to appropriately quantify transmissionpotential by Hiroshi Nishiura

“…The initial growth phase of an epidemic of Asian influenza A (H2N2) in the Netherlands in 1957 was reanalyzed, and estimates of the basic reproduction number, $R_0$, from the Lotka-Euler equation were examined. …”
Get full text

Arithmetic functions associated with infinitary divisors of an integer by Graeme L. Cohen, Peter Hagis

“…In this paper, we investigate the infinitary analogues of such familiar number theoretic functions as the divisor sum function, Euler's phi function and the Möbius function.…”
Get full text

Construction of axisymmetric steady states of an inviscid incompressible fluid by spatially discretized equations for pseudo-advected vorticity by Takahiro Nishiyama

“…An infinite number of generalized solutions to the stationary Euler equations with axisymmetry and prescribed circulation are constructed by applying the finite difference method for spatial variables to an equation of pseudo-advected vorticity. …”
Get full text

Estimation of Wheelset Natural Vibration Characteristics Based on Transfer Matrix Method with Various Elastic Beam Models by Pengfei Liu, Hongjun Liu, Qing Wu

“…The increase of the dividing segment number of the flexible axle is helpful to improve the modal solving accuracy, while the computation effort is almost kept in the same level. …”
Get full text

Clar Structure and Fries Set of Fullerenes and (4,6)-Fullerenes on Surfaces by Yang Gao, Heping Zhang

“…We showed that the Clar number of a fullerene on surface Σ is bounded above by (|V|/6)-χ(Σ), where χ(Σ) stands for the Euler characteristic of Σ. …”
Get full text