THE PROPERTIES OF ORTHOGONALITY AND COMPLETENESS OF THE SYSTEM OF SURFACE HARMONICS
https://doi.org/10.33236/2307-910X-2020-2-30-102-104
Abstract
Surface harmonics represent the angular part of the family of orthogonal solutions of the Laplace equation, written in spherical coordinates. The use of these functions is quite diverse, they are of great importance in the theory of differential equations in partial derivatives and theoretical physics.
About the Authors
S. I. Abakumova
North-Caucasus Federal University
Russian Federation
Russian Federation
N. Y. Botvineva
Stavropol State Pedagogical Institute
Russian Federation
Russian Federation
E. V. Gulynina
Stavropol State Pedagogical Institute
Russian Federation
Russian Federation
References
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Review
For citations:
Abakumova S.I., Botvineva N.Y., Gulynina E.V. THE PROPERTIES OF ORTHOGONALITY AND COMPLETENESS OF THE SYSTEM OF SURFACE HARMONICS. Modern Science and Innovations. 2020;(2):111-113. (In Russ.) https://doi.org/10.33236/2307-910X-2020-2-30-102-104
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