Results 21 to 30 of about 755 (255)

AN IMPROPER INTEGRAL, THE BETA FUNCTION, THE WALLIS RATIO, AND THE CATALAN NUMBERS

open access: yesПроблемы анализа, 2018
In the paper we present closed and unified expressions for a sequence of improper integrals in terms of the beta function and the Wallis ratio.
Qi Feng
doaj   +1 more source

About zeros of some oscillations with dynamic friction [PDF]

open access: yesINCAS Bulletin, 2014
Consider a second order differential non-linear equation having free boundary value conditions. Let be a solution having infinity of unknown zeros. The integral of energy gives the implicit correlation between the successive modules of the extreme ...
Nicolae MARCOV
doaj   +1 more source

A New Expression for the Coulomb Potential Corresponding to the Product of Two Exponential Functions Based on the Properties of the Integral Representations of the Bessel Functions

open access: yesTrends in Computational and Applied Mathematics, 2023
The calculation of the Coulomb Potential corresponding to the product of two Exponential Type Functions, inherently has numerical challenges that must be resolved.
C. J. Alturria Lanzardo   +4 more
doaj   +1 more source

On oscillatory behavior of two-dimensional time scale systems

open access: yesAdvances in Difference Equations, 2018
This paper deals with long-time behaviors of nonoscillatory solutions of a system of first-order dynamic equations on time scales. Some well-known fixed point theorems and double improper integrals are used to prove the main results.
Özkan Öztürk
doaj   +1 more source

Calculation of the Vacuum Energy Density Using Zeta Function Regularization

open access: yesPhysical Sciences Forum, 2023
This paper presents a theoretical calculation of the vacuum energy density by summing the contributions of all quantum fields’ vacuum states, which turns out to indicate that there seems to be a missing bosonic contribution in order to match the ...
Siamak Tafazoli
doaj   +1 more source

Cauchy Principal Value Contour Integral with Applications

open access: yesEntropy, 2017
Cauchy principal value is a standard method applied in mathematical applications by which an improper, and possibly divergent, integral is measured in a balanced way around singularities or at infinity.
Matilde Legua, Luis M. Sánchez-Ruiz
doaj   +1 more source

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

open access: yesFEBS Open Bio, EarlyView.
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill   +4 more
wiley   +1 more source

On |C,1|k Integrability of Improper Integrals

open access: yesInternational Journal of Analysis and Applications, 2016
In this paper, we introduce the concept of | C,1 |k,k ≥ 1, integrability of improper integrals and we prove a known theorem of Mazhar [3] by using this definition.
H. N. Özgen
doaj   +2 more sources

On Fuzzy Improper Integral and Its Application for Fuzzy Partial Differential Equations

open access: yesInternational Journal of Differential Equations, 2016
We establish some important results about improper fuzzy Riemann integrals; we prove some properties of fuzzy Laplace transforms, which we apply for solving some fuzzy linear partial differential equations of first order, under generalized Hukuhara ...
ElHassan ElJaoui, Said Melliani
doaj   +1 more source

Refinement of amino‐acid conformation vs. difference density maps in time‐resolved serial femtosecond crystallography data analysis

open access: yesFEBS Open Bio, EarlyView.
The dFoCC pipeline starts with observed DED and resting‐state coordinates, which are then used to generate a library of triggered states. Correlation analysis of the calculated DED features of each candidate vs observed DED permits quantitative evaluation of candidate structural quality.
Meng Iao Fong   +3 more
wiley   +1 more source

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