Results 31 to 40 of about 16,180 (243)
On certain non-unique solutions of the Stieltjes moment problem [PDF]
, 2009 We construct explicit solutions of a number of Stieltjes moment problems based on moments of the form (2rn)! and [(rn)!]2. It is shown using criteria for uniqueness and non-uniqueness (Carleman, Krein, Berg, Pakes, Stoyanov) that for r > 1 both forms ...
Blasiak, Pawel +4 more
core +4 more sources
Harmonic sums and mellin transforms [PDF]
Nuclear Physics B - Proceedings Supplements, 1999 Contribution to the Proceedings of the 7th International Workshop on Deep Inelastic Scattering and QCD, DIS99, DESY-Zeuthen, April 1999; Nucl. Phys. B (Proc. Suppl.)
openaire +3 more sources
Analytical Standard Uncertainty Evaluation Using Mellin Transform
IEEE Access, 2015 Uncertainty evaluation plays an important role in ensuring that a designed system can indeed achieve its desired performance. There are three standard methods to evaluate the propagation of uncertainty: 1) analytic linear approximation; 2) Monte Carlo ...
Arvind Rajan +3 more
doaj +1 more source
Fractional differential equations solved by using Mellin transform
, 2014 In this paper, the solution of the multi-order differential equations, by using Mellin Transform, is proposed. It is shown that the problem related to the shift of the real part of the argument of the transformed function, arising when the Mellin ...
Butera, Salvatore, Di Paola, Mario
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On the modular integrals and their mellin transforms
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 2003 It is shown that if f is an entire modular integral on T(l) of weight k, with multiplier system u, then f m (tr ) is an entire modular integral on T(l) of weight mk, with multiplier system u. A more general formula is obtained for the Mellin transforms.
M. E. Özdemir, U. S. Kirmaci
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The asymptotic expansion of a generalised Mathieu series [PDF]
, 2013 We obtain the asymptotic expansion of a generalised Mathieu series and its alternating variant for large complex values of the variable by means of a Mellin transform approach.
Paris, Richard B.
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Analysis of the family of integral equation involving incomplete types of I and Ī-functions
Applied Mathematics in Science and Engineering, 2023 The present article introduces and studies the Fredholm-type integral equation with an incomplete I-function (IIF) and an incomplete $ \bar {I} $ -function (I $ \bar {I} $ F) in its kernel.
Sanjay Bhatter +5 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad +1 more
wiley +1 more source
Distributional celestial amplitudes
Journal of High Energy PhysicsScattering amplitudes are tempered distributions, which are defined through their action on functions in the Schwartz space S ℝ $$ \mathcal{S}\left(\mathbb{R}\right) $$ by duality.
Majdouline Borji, Yorgo Pano
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