Results 11 to 20 of about 3,305 (304)
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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A Note on Some Definite Integrals of Arthur Erdélyi and George Watson
Mathematics, 2021 This manuscript concerns two definite integrals that could be connected to the Bose-Einstein and the Fermi-Dirac functions in the integrands, separately, with numerators slightly modified with a difference in two expressions that contain the Fourier ...
Robert Reynolds, Allan Stauffer
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Fractal and Fractional, 2017 This paper proposes the definition of fractional definite integral and analyses the corresponding fundamental theorem of fractional calculus. In this context, we studied the relevant properties of the fractional derivatives that lead to such a definition.
Manuel Ortigueira, José Machado
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, 2023 After reading this chapter you know: what an integral is, what definite and indefinite integrals are, what an anti-derivative is and how it is related to the indefinite integral, what the area under a curve is and how it is related to the definite ...
Ćurčić-Blake, Branislava; id_orcid
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A Comprehensive Definition for Integrative Oncology [PDF]
JNCI Monographs, 2017 Background: Integrative oncology, which is generally understood to refer to the use of a combination of complementary medicine therapies in conjunction with conventional cancer treatments, has been defined in different ways, but there is no widely accepted definition.We sought to develop and establish a consensus for a comprehensive definition of the ...
Witt, Claudia M +8 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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Some intriguing definite integrals [PDF]
, 1999 We calculate some definite integrals which (up to now) computer algebra systems like Maple or Mathematica are unable to evaluate. The first one is a simply looking integral involving cos and log, the others are some integrals containing polylogarithmic ...
Zacharias, Klaus
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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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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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