Identities involving iterated integral transforms [PDF]
International Journal of Mathematics and Mathematical Sciences, 1983 A number of identities involving iterated integral transforms are established, making use of the fact that a function which is a linear combination of the Macdonald's function Kν(z), where z is a complex variable, is a Fourier kernel.
Cyril Nasim
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Integral identities for sums [PDF]
Mathematical Communications, 2008 We consider some finite binomial sums involving the derivatives of the binomial coefficient and develop some integral identities. In particular cases it is possible to express the sums in closed form.
Sofo, Anthony
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Approximating the Stieltjes Integral of Bounded Functions and Applications for Three Point Quadrature Rules [PDF]
, 2007 Sharp error estimates in approximating the Stieltjes integral with bounded integrands and bounded integrators respectively, are given.
Dragomir, Sever S
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Integral identities for reflection, transmission, and scattering coefficients. [PDF]
Journal of the Acoustical Society of America, 2018 Several integral identities related to acoustic scattering are presented. In each case the identity involves the integral over frequency of a physical quantity.
A. Norris
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Alexandria Engineering Journal, 2022 In this paper, we present generalized Jensen-Mercer inequality for a generalized h-convex function on fractal sets. We proved Hermite-Hadamard-Mercer local fractional integral inequalities via integral operators pertaining Mittag-Leffler kernel. Also, we
Peng Xu +4 more
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Coordinate space calculation of two- and three-loop sunrise-type diagrams, elliptic functions and truncated Bessel integral identities [PDF]
Nuclear Physics B, 2018 We integrate three-loop sunrise-type vacuum diagrams in D 0 = 4 dimensions with four different masses using configuration space techniques. The finite parts of our results are in numerical agreement with corresponding three-loop calculations in momentum ...
S. Groote, J. Körner
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Nonexistence of Solutions for Dirichlet Problems with Supercritical Growth in Tubular Domains
Advanced Nonlinear Studies, 2021 We deal with Dirichlet problems of the ...
Molle Riccardo, Passaseo Donato
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Software frameworks for integral equations in electromagnetic scattering based on Calderón identities [PDF]
Computers and Mathematics with Applications, 2017 In recent years there have been tremendous advances in the theoretical understanding of boundary integral equations for Maxwell problems. In particular, stable dual pairings of discretisation spaces have been developed that allow robust formulations of ...
Matthew W. Scroggs +4 more
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Multi-sum Rogers-Ramanujan type identities [PDF]
Journal of Mathematical Analysis and Applications, 2022 . We use an integral method to establish a number of Rogers-Ramanujan type identities involving double and triple sums. The key step for proving such identities is to find some infinite products whose integrals over suitable contours are still infinite ...
Zhineng Cao, Liu-Quan Wang
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New proofs of some double sum Rogers–Ramanujan type identities [PDF]
The Ramanujan journal, 2022 Recently, Rosengren utilized an integral method to prove a number of conjectural identities found by Kanade and Russell. Using this integral method, we give new proofs to some double sum identities of Rogers–Ramanujan type.
Liu-Quan Wang
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