Results 11 to 20 of about 6,757 (143)
Residual power series algorithm for fractional cancer tumor models
Alexandria Engineering Journal, 2020 In this paper, the new series solutions of some fractional cancer tumor models are investigated by using residual power series method (RPSM). The RPSM is explained with Maclaurin expansion for the solution.
Zeliha Korpinar +3 more
doaj +1 more source
Maclaurin's series expansions of real powers of inverse (hyperbolic) cosine and sine functions with applications [PDF]
, 2021 Abstract In the paper, by means of the Faa di Bruno formula, with the help of explicit formulas for special values of the Bell polynomials of the second kind with respect to a specific sequence, and by virtue of two combinatorial identities containing the Stirling numbers of the first kind, the author establishes Maclaurin's series expansions ...
openaire +1 more source
Open Mathematics, 2023 In this study, by virtue of a derivative formula for the ratio of two differentiable functions and with aid of a monotonicity rule, the authors expand a logarithmic expression involving the cosine function into the Maclaurin power series in terms of ...
Li Yan-Fang, Qi Feng
doaj +1 more source
Resurgence of the Euler-MacLaurin summation formula [PDF]
, 2007 The Euler-MacLaurin summation formula relates a sum of a function to a corresponding integral, with a remainder term. The remainder term has an asymptotic expansion, and for a typical analytic function, it is a divergent (Gevrey-1) series.
Costin, Ovidiu, Garoufalidis, Stavros
core +3 more sources
Method Of Obtaining Approximate Formulas [PDF]
, 2018 The two-parameter method of approximating the sum of a power series in terms of its first three terms of the expansion, which allows one to obtain analytic approximations of various functions, decomposes into a Maclaurin series.
Ludanov, K. (Konstantin)
core +2 more sources
Monotone Hurwitz numbers and the HCIZ integral [PDF]
, 2014 In this article, we prove that the complex convergence of the HCIZ free energy is equivalent to the non-vanishing of the HCIZ integral in a neighbourhood of $z=0$.
Goulden, Ian P. +2 more
core +3 more sources
On comparison of approximate solutions for linear and nonlinear schrodinger equations
Acta Scientiarum: Technology, 2019 In this paper, homotopy analysis transform method and residual power series method for solving linear and nonlinear Schrödinger equations are introduced. Residual power series algorithm gets Maclaurin expansion of the numerical soliton solutions.
Zeliha Korpinar
doaj +1 more source
Bouncing solutions from generalized EoS [PDF]
, 2017 We present an exact analytical bouncing solution for a closed universe filled with only one exotic fluid with negative pressure, obeying a Generalized Equations of State (GEoS) of the form $P(\rho)=A\rho+B\rho^{\lambda}$, where $A$, $B$ and $\lambda$ are
Contreras, F., Cruz, N., Palma, G.
core +2 more sources
Divergence of the isospin-asymmetry expansion of the nuclear equation of state in many-body perturbation theory [PDF]
, 2016 The isospin-asymmetry dependence of the nuclear matter equation of state obtained from microscopic chiral two- and three-body interactions in second-order many-body perturbation theory is examined in detail. The quadratic, quartic and sextic coefficients
Holt, Jeremy W. +2 more
core +3 more sources