Results 251 to 260 of about 833,509 (313)
Some of the next articles are maybe not open access.
Improper integral with exponential function
Journal of Intelligent & Fuzzy Systems, 2023In this paper, we explore the improper integral with exponential function f = xx is approached to infinite series, and also prove the convergence of these series. An improper integral converges if the limit defining it exists. We use Maple code to calculate the infinite series.
AL-Hossain Ahmad, AL-Nashri +3 more
openaire +1 more source
Design of rapid exponential integral nonlinear tracking differentiator
International Journal of Control, 2021In this paper, a tracking differentiator with novel acceleration function is proposed. An exponential integral function with adjustable slope near the equilibrium point is designed as an acceleration function to construct the tracking differentiator.
Zhenzhen Chen +3 more
semanticscholar +1 more source
Response to “Indefinite Integrals of the Exponential Integral Function”
Nuclear Science and Engineering, 1987N. Gunther
semanticscholar +2 more sources
Exponential functionals of integrated processes
Economics Letters, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Jungick, De Jong, Robert M.
openaire +2 more sources
Mathematical methods in the applied sciences, 2020
This work suggested a new generalized fractional derivative which is producing different kinds of singular and nonsingular fractional derivatives based on different types of kernels.
Sunil Kumar +4 more
semanticscholar +1 more source
This work suggested a new generalized fractional derivative which is producing different kinds of singular and nonsingular fractional derivatives based on different types of kernels.
Sunil Kumar +4 more
semanticscholar +1 more source
Global Exponential Stability of Delayed Neural Networks Based on a New Integral Inequality
IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2019This paper focuses on the problem of exponential stability for a class of neural networks with time-varying delays. A more general inequality is established which extends the auxiliary function-based integral inequality.
Yajuan Liu, Ju H. Park, F. Fang
semanticscholar +1 more source
Quasiconformal mappings and exponentially integrable functions
Studia Mathematica, 2011We prove that a if-quasiconformal mapping f: R2 → R 2 which maps the unit disk D onto itself preserves the space EXP(D) of exponentially integrable functions over D, in the sense that u ∈ EXP(D) if and only if u o f-1 ∈ EXP(D). Moreover, if / is assumed to be conformal outside the unit disk and principal, we provide the estimate 1/1+K log K ≤ ||u o f-1|
Farroni F., GIOVA, Raffaella
openaire +3 more sources
Exponential estimates for oscillatory integrals with degenerate phase functions
Nonlinearity, 2008In this paper we give precise asymptotic expansions and estimates of the remainder R(λ) for oscillatory integrals with non Morse phase functions, having degeneracies of any order k ≥ 2. We provide an algorithm for writing down explicitly the coefficients of the asymptotic expansion analysing precisely the combinatorial behaviour of the coefficients ...
FRANCO CARDIN +2 more
openaire +1 more source
On Some Exponential-integral Functionals of Bessel Processes
Mathematical Finance, 1993This paper studies the moments of some exponential‐integral functionals of Bessel processes, which are of interest in some questions of mathematical finance, including the valuation of perpetuities and Asian options.
openaire +1 more source
Function classes for double exponential integration formulas
Numerische Mathematik, 2008Double exponential (DE) transformations \(\psi:\mathbb{R}\to I\) have been successfully applied by \textit{H. Takahasi} and \textit{M. Mori} [Publ. Res. Inst. Math. Sci., Kyoto Univ. 9, 721--741 (1974; Zbl 0293.65011)] for estimating the integral \(\int_I f(x)dx\) by means of the formula \[ \int_I f(x)dx=\int_{-\infty}^\infty f(\psi(t))\psi'(t)dt ...
Ken'ichiro Tanaka +3 more
openaire +1 more source