Results 1 to 10 of about 2,340,716 (311)

A new type of Taylor series expansion [PDF]

Journal of Inequalities and Applications, 2018
We present a variant of the classical integration by parts to introduce a new type of Taylor series expansion and to present some closed forms for integrals involving Jacobi and Laguerre polynomials, which cannot be directly obtained by usual symbolic ...
Mohammad Masjed-Jamei, Zahra Moalemi, Iván Area, Juan J. Nieto   +3 more
doaj   +2 more sources

Biobjective Optimization Algorithms Using Neumann Series Expansion for Engineering Design [PDF]

Applied Bionics and Biomechanics, 2018
In this paper, two novel algorithms are designed for solving biobjective optimization engineering problems. In order to obtain the optimal solutions of the biobjective optimization problems in a fast and accurate manner, the algorithms, which have ...
Huan Guo, Yoshino Tatsuo, Lulu Fan, Ao Ding, Tianshuang Xu, Genyuan Xing   +5 more
doaj   +2 more sources

Series Expansions [PDF]

Computers in Physics, 1994
Joan Adler
openaire   +2 more sources

A Brief Overview and Survey of the Scientific Work by Feng Qi

Axioms, 2022
In the paper, the authors present a brief overview and survey of the scientific work by Chinese mathematician Feng Qi and his coauthors.
Ravi Prakash Agarwal, Erdal Karapinar, Marko Kostić, Jian Cao, Wei-Shih Du   +4 more
doaj   +1 more source

Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions

AIMS Mathematics, 2021
In the paper, the authors 1. establish general expressions of series expansions of $ (\arcsin x)^\ell $ for $ \ell\in\mathbb{N} $; 2. find closed-form formulas for the sequence $ \begin{equation*} {\rm{B}}_{2n,k}\biggl(0,\frac{1}{3},0,\frac{9}{5}
Bai-Ni Guo, Dongkyu Lim , Feng Qi
doaj   +1 more source

Analytical Solution for Two-Dimensional Coupled Thermoelastodynamics in a Cylinder [PDF]

Civil Engineering Infrastructures Journal, 2013
An infinitely long hollow cylinder containing isotropic linear elastic material is considered under the effect of arbitrary boundary stress and thermal condition.
Morteza Eskandari-Ghadi, Mohammad Rahimian, Amin Mahmoodi, Azizollah Ardeshir-Behrestaghi   +3 more
doaj   +1 more source

Generation of Two Correlated Stationary Gaussian Processes

Mathematics, 2021
Since correlated stochastic processes are often presented in practical problems, feasible methods to model and generate correlated processes appropriately are needed for analysis and simulation.
Guo-Qiang Cai, Ronghua Huan, Weiqiu Zhu
doaj   +1 more source

Endoscopic Controlled Radial Expansion Balloon Dilatation in Infantile Achalasia: A Case Series of Four Infants. [PDF]

Cureus
Kushwaha DS, Samanta A, Ray G, Roy B.
europepmc   +3 more sources

A New Iterative Method for the Numerical Solution of High-Order Non-linear Fractional Boundary Value Problems

Frontiers in Physics, 2020
The boundary value problems (BVPs) have attracted the attention of many scientists from both practical and theoretical points of view, for these problems have remarkable applications in different branches of pure and applied sciences.
Amin Jajarmi, Dumitru Baleanu, Dumitru Baleanu   +2 more
doaj   +1 more source

Two identities and closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of the second kind

Demonstratio Mathematica, 2022
In this article, the authors present two identities involving products of the Bernoulli numbers, provide four alternative proofs for these two identities, derive two closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of ...
Chen Xue-Yan, Wu Lan, Lim Dongkyu, Qi Feng   +3 more
doaj   +1 more source