Results 71 to 80 of about 130,007 (196)
Two asymptotic expansions for gamma function developed by Windschitl's formula
, 2017 In this paper, we develop Windschitl's approximation formula for the gamma function to two asymptotic expansions by using a little known power series. In particular, for $n\in \mathbb{N}$ with $n\geq 4$, we have \begin{equation*} \Gamma \left( x+1\right)
Tian, Jing-Feng, Yang, Zhen-Hang
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Advances in Difference Equations, 2011 This paper performs a further investigation on the q-Bernoulli numbers and q-Bernoulli polynomials given by Acikgöz et al. (Adv Differ Equ, Article ID 951764, 9, 2010), some incorrect properties are revised.
Kim Taekyun, Lee Byungje, Ryoo Cheon
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Generalized solutions of the fractional Burger’s equation
Results in Physics, 2019 We investigate the solutions for the fractional Burger’s equation based on the Jumarie fractional derivative using Bernoulli polynomials. We find general solutions for such problems. Comparison with other methods is presented.
Muhammed I. Syam +4 more
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A Generalization of the Eulerian Numbers
, 2017 In the present paper we generalize the Eulerian numbers (also of the second and third orders). The generalization is connected with an autonomous first-order differential equation, solutions of which are used to obtain integral representations of some ...
Rzadkowski, Grzegorz +1 more
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Solvability of the clamped Euler–Bernoulli beam equation
Applied Mathematics Letters, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Onur Baysal, Alemdar Hasanov
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Известия Иркутского государственного университета: Серия "Математика", 2016 The Bernoulli polynomials for natural x were first considered by J.Berno\-ulli (1713) in connection with the problem of summation of the powers of consecutive positive integers. For arbitrary $x$ these polynomials were studied by L.Euler.
O. Shishkina
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Shock and Vibration, 2017 The paper tries to clarify the problem of solution and interpretation of railway track dynamics equations for linear models. Set of theorems is introduced in the paper describing two types of equivalence: between static and dynamic track response under ...
Wlodzimierz Czyczula +2 more
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Bernoulli’s Equation with Acceleration
Natural Science, 2015 For steady frictionless flow along a straight line, when a constant acceleration is applied parallel to that line, a term needs to be added to the standard form of Bernoulli’s equation. After so modifying, the equation then predicts that along a streamline, when the speed is high, the pressure is significantly lower than that if there were no ...
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Cardiology Research and Practice, 2012 Echocardiography is routinely used to assess ventricular and valvular function, particularly in patients with known or suspected cardiac disease and who have evidence of hemodynamic compromise. A cornerstone to the use of echocardiographic imaging is not
Michael S. Firstenberg +3 more
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Partial Differential Equations in Applied MathematicsThe dominant intention of this article is to extract the new exact traveling waves solutions of the nonlinear space-time fractional Sharma-Tasso-Olver equation in the sense of beta-derivative by using three integration schemes namely, Riccati-Bernoulli ...
Khush Bukht Mehdi +6 more
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