An Example of the Generalized Fractional Laplacian on Rⁿ

Authors

Chenkuan Li Department of Mathematics and Computer Science, Brandon University, Brandon, Manitoba, Canada

DOI:

https://doi.org/10.37256/cm.142020489

Keywords:

fractional Laplacian, normalization; distribution, surface integral, gamma function

Abstract

Using the normalization of the fractional Laplacian (-△)^su(x) over the space C_k(Rⁿ) for all s > 0 and s ≠ 1, 2, ···, we evaluate (-△)^se^-||x||2 based on the multidimensional surface integrals over the unit sphere and special functions.

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Published

2020-08-21

Issue

Contemporary Mathematics, Volume 1 Issue 4 (2020), 170-271

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.