A New Representation of the Generalized Krätzel Function

Autor:	Asifa Tassaddiq
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	generalized Krätzel function H-function Fourier transformation slowly increasing test functions generalized functions (distributions) delta function Mathematics QA1-939
Zdroj:	Mathematics, Vol 8, Iss 11, p 2009 (2020)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math8112009
Popis:	The confluence of distributions (generalized functions) with integral transforms has become a remarkably powerful tool to address important unsolved problems. The purpose of the present study is to investigate a distributional representation of the generalized Krätzel function. Hence, a new definition of these functions is formulated over a particular set of test functions. This is validated using the classical Fourier transform. The results lead to a novel extension of Krätzel functions by introducing distributions in terms of the delta function. A new version of the generalized Krätzel integral transform emerges as a natural consequence of this research. The relationship between the Krätzel function and the H-function is also explored to study new identities.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/fd5a501c591442398f8b736dc1cdc61d Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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