Results 241 to 250 of about 4,390,707 (282)

Convolution series and the generalized convolution Taylor formula [PDF]

open access: yesFractional Calculus and Applied Analysis, 2022
19 ...
Yuri Luchko
exaly   +3 more sources

An Algorithm for the Convolution of Legendre Series [PDF]

open access: yesSIAM 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 ...
Nicholas Hale, Alex Townsend
exaly   +4 more sources

Some convolution series identities

open access: yesMathematical 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, H M Srivastava
exaly   +2 more sources

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