Results 11 to 20 of about 91,155 (272)
The definite integrals of 2- refined neutrosophic functions and its properties [PDF]
Neutrosophic Sets and SystemsThis article aims to study the definite integrals of 2- refined neutrosophic functions and its properties. The definite integrals of 2- refined neutrosophic functions are defined in this study, and a set of theories are presented, including the ...
Yaser Ahmad Alhasan +2 more
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Demonstratio Mathematica, 2022 In this note, we derive a finite summation formula and an infinite summation formula involving Harmonic numbers of order up to some order by means of several definite integrals.
Kim Taekyun +3 more
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A Lost Theorem: Definite Integrals in Asymptotic Setting [PDF]
, 2008 We present a simple yet rigorous theory of integration that is based on two axioms rather than on a construction involving Riemann sums. With several examples we demonstrate how to set up integrals in applications of calculus without using Riemann sums ...
Cavalcante, Ray, Todorov, Todor D.
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Simultaneous Contour Method of a Trigonometric Integral by Prudnikov et al.
Mathematics, 2021 In this present work we derive, evaluate and produce a table of definite integrals involving logarithmic and exponential functions. Some of the closed form solutions derived are expressed in terms of elementary or transcendental functions.
Robert Reynolds, Allan Stauffer
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Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams [PDF]
, 2017 We calculate 3-loop master integrals for heavy quark correlators and the 3-loop QCD corrections to the $\rho$-parameter. They obey non-factorizing differential equations of second order with more than three singularities, which cannot be factorized in ...
Ablinger, J. +7 more
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Calculation of integrals in MathPartner
Discrete and Continuous Models and Applied Computational Science, 2021 We present the possibilities provided by the MathPartner service of calculating definite and indefinite integrals. MathPartner contains software implementation of the Risch algorithm and provides users with the ability to compute antiderivatives for ...
Gennadi I. Malaschonok +1 more
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Further Equivalent Binomial Sums
Comptes Rendus. Mathématique, 2021 Five binomial sums are extended by a free parameter $m$, that are shown, through the generating function method, to have the same value. These sums generalize the ones by Ruehr (1980), who discovered them in the study of two unexpected equalities between
Bai, Mei, Chu, Wenchang
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Reduction Formulae of 2-refined Neutrosophic Integrals and their Applications [PDF]
Neutrosophic Sets and SystemsThe main aim of this manuscript is to establish for the first time the reduction formulae of 2-refined neutrosophic indefinite integrals (shortly, RF2RNII) which have double indeterminacy I1 and I2 respectably.
Florentin Smarandache +1 more
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The Multivariable Aleph-function involving the Generalized Mellin-Barnes Contour Integrals
Cubo, 2020 In this paper, we have evaluated three definite integrals involving the product of two hypergeometric functions and multivariable Aleph-function. Certain special cases of the main results are also pointed out.
Abdi Oli, Kelelaw Tilahun, G. V. Reddy
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Exact dipolar moments of a localized electric current distribution [PDF]
, 2011 The multipolar decomposition of current distributions is used in many branches of physics. Here, we obtain new exact expressions for the dipolar moments of a localized electric current distribution.
Fernandez-Corbaton, Ivan +3 more
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