Results 1 to 10 of about 4,252,298 (276)
Convolution series and the generalized convolution Taylor formula [PDF]
Fractional Calculus and Applied Analysis, 2022 19 ...
Yuri Luchko
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Special Functions of Fractional Calculus in the Form of Convolution Series and Their Applications
Mathematics, 2021 In this paper, we first discuss the convolution series that are generated by Sonine kernels from a class of functions continuous on a real positive semi-axis that have an integrable singularity of power function type at point zero.
Yuri Luchko
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An Algorithm for the Convolution of Legendre Series [PDF]
SIAM Journal of Scientific Computing, 2014 An $\mathcal{O}(N^2)$ algorithm for the convolution of compactly supported Legendre series is described. The algorithm is derived from the convolution theorem for Legendre polynomials and the recurrence relation satisfied by spherical Bessel functions. Combining with previous work yields an $\mathcal{O}(N^2)$ algorithm for the convolution of Chebyshev ...
Nick Hale, Alex Townsend
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Fourier–Zernike Series of Convolutions on Disks [PDF]
Mathematics, 2018 This paper presents a systematic study of the analytic aspects of Fourier⁻Zernike series of convolutions of functions supported on disks. We then investigate different aspects of the presented theory in the cases of zero-padded functions.
Arash Ghaani Farashahi +1 more
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Analysis of scalar fields with series convolution
European Physical Journal C: Particles and FieldsWave equations for some curved spacetimes may involve functions that prevent a solution in a closed form. In some cases, these functions can be eliminated by transformations and the solutions can be found analytically.
Emir Baysazan +2 more
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Some convolution series identities
Mathematical and Computer Modelling, 1995 A representation of a convolution series involving arbitrary sequences is obtained in terms of the derivatives of known generating functions. Another variation of the main result is given, and applications are shown to yield certain combinatorial identities and addition formulas.
R K Raina
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Shifted convolution of cusp-forms with $$\theta $$ θ -series [PDF]
Ramanujan Journal, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jie Wu, Wenguang Zhai, Guangshi Lu
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Improved features using convolution-augmented transformers for keyword spotting [PDF]
ITM Web of Conferences, 2022 Transformer can effectively model long rang dependency, but suffer from uncapable to extract local feature patterns. While CNNs exploit local features effectively.
Wang Yi +4 more
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Operational Calculus for the General Fractional Derivatives of Arbitrary Order
Mathematics, 2022 In this paper, we deal with the general fractional integrals and the general fractional derivatives of arbitrary order with the kernels from a class of functions that have an integrable singularity of power function type at the origin.
Maryam Al-Kandari +2 more
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