Results 11 to 20 of about 3,593 (303)
Definite Integrals using Orthogonality and Integral Transforms [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms.
Howard S. Cohl, Hans Volkmer
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High precision computing of definite integrals with .net framework c# and x-mpir [PDF]
Cybernetics and Information Technologies, 2014 This paper concerns high precision numerical computing of definite integrals in a specific environment, namely .NET Framework. The work is a part of a series, tracing the progress of creating tools for high precision computations in this environment and ...
Dzhambov Velichko
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A Remarkable Definite Integral [PDF]
, 2013 An integral formula is developed which applies to an essentially arbitrary function. An application is made to the Riemann zeta function.
M. L. Glasser
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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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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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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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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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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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Integrals of Frullani type and the method of brackets
Open Mathematics, 2017 The method of brackets is a collection of heuristic rules, some of which have being made rigorous, that provide a flexible, direct method for the evaluation of definite integrals.
Bravo Sergio +3 more
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