Results 21 to 30 of about 91,155 (272)
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
doaj +1 more source
Definite integrals and operational methods
, 2012 An operatorial method, already employed to formulate a generalization of the Ramanujan master theorem, is applied to the evaluation of integrals of various type.
Babusci, D. +4 more
core +1 more source
The method of brackets. Part 2: examples and applications
, 2010 A new heuristic method for the evaluation of definite integrals is presented. This method of brackets has its origin in methods developed for the evaluation of Feynman diagrams.
Gonzalez, Ivan +2 more
core +1 more source
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
doaj +1 more source
Two Definite Integrals Involving Products of Four Legendre Functions
, 2017 The definite integrals $ \int_{-1}^1x[P_\nu(x)]^4\,\mathrm{d} x$ and $ \int_{0}^1x[P_\nu(x)]^2\{[P_\nu(x)]^2-[P_\nu(-x)]^2\}\,\mathrm{d} x$ are evaluated in closed form, where $ P_\nu$ stands for the Legendre function of degree $ \nu\in\mathbb C ...
Zhou, Yajun
core +1 more source
Definite Integrals using Orthogonality and Integral Transforms
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
doaj +1 more source
Generalizations and applications of Young’s integral inequality by higher order derivatives
Journal of Inequalities and Applications, 2019 In the paper, the authors 1.generalize Young’s integral inequality via Taylor’s theorems in terms of higher order derivatives and their norms, and2.apply newly-established integral inequalities to estimate several concrete definite integrals, including a
Jun-Qing Wang, Bai-Ni Guo, Feng Qi
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Five‐Year Disease Progression in Synuclein Seeding Positive Sporadic Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To provide a comprehensive description of disease progression in synuclein seeding assay (SAA) positive sporadic Parkinson Disease participants, using Neuronal Synuclein Disease integrated biological and functional impairment staging framework.
Paulina Gonzalez‐Latapi +19 more
wiley +1 more source
Axioms, 2021 A class of definite integrals involving a quotient function with a reducible polynomial, logarithm and nested logarithm functions are derived with a possible connection to contact problems for a wedge.
Robert Reynolds, Allan Stauffer
doaj +1 more source
On Morrison’s definite integral [PDF]
Aequationes mathematicae, 2015 Física Teórica, Atómica y ...
Arias de Reyna, J. +2 more
openaire +3 more sources