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math.CA2022★ 6 cited
On polyharmonic polynomials
Hubert Grzebuła, Sławomir Michalik
We study the orthogonal projection of homogeneous polynomials onto the space of homogeneous polyharmonic polynomials. To do this we derive the decomposition of homogeneous polynomi…
math.CA2022★ 9 cited
Multisummability of formal solutions for a family of generalized singularly perturbed moment differential equations
Alberto Lastra, Sławomir Michalik, Maria Suwińska
The notion of moment differentiation is extended to the set of generalized multisums of formal power series via an appropriate integral representation and accurate estimates of the…