Hermite Expansions of С-regularized cosine Functions

Hermite Expansions of $C-$regularized cosine Functions

Hassani R. A., Bajjou Y., Blali A., El Amrani A.
Siberian Electronic Mathematical Reports, 21, 2, pp. 1426-1439 (2024)
Full-text

УДК 517.587 
DOI: 10.33048/semi.2024.21.090  
MSC 47D60, 34G10, 47D03, 33C45

Abstract:

The aim of this paper is to approximate the exponentially bounded $C-$regularized cosine function by the Hermite series, recalling the notions and the results used.

Keywords: Hermite functions,  Hermite Expansions, $C-$regularized semigroup, $C-$regularized cosine functions