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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 +3 more
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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 +5 more
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Absolute Monotonicity of Normalized Tail of Power Series Expansion of Exponential Function
MathematicsIn this work, the author reviews the origination of normalized tails of the Maclaurin power series expansions of infinitely differentiable functions, presents that the ratio between two normalized tails of the Maclaurin power series expansion of the ...
Feng Qi
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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 +4 more
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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
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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 +3 more
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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 +3 more
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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 +2 more
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Newton series expansion of bosonic operator functions
SciPost Physics, 2021 We show how series expansions of functions of bosonic number operators are naturally derived from finite-difference calculus. The scheme employs Newton series rather than Taylor series known from differential calculus, and also works in cases where the ...
Jürgen König, Alfred Hucht
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Electronic Journal of Qualitative Theory of Differential Equations, 2023 This paper deals with fundamental properties of Poincaré half-maps defined on a straight line for planar linear systems. Concretely, we focus on the analyticity of the Poincaré half-maps, their series expansions (Taylor and Newton–Puiseux) at the ...
Victoriano Carmona +3 more
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