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Article

A New Version of the Generalized Krätzel–Fox Integral Operators

1
Department of Physics and Basic Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, Amman 11134, Jordan
2
Department of Mathematics, University of Jizan, Jizan 45142, Saudi Arabia
*
Author to whom correspondence should be addressed.
Mathematics 2018, 6(11), 222; https://doi.org/10.3390/math6110222
Received: 12 October 2018 / Revised: 25 October 2018 / Accepted: 26 October 2018 / Published: 28 October 2018
(This article belongs to the Special Issue Special Functions and Applications)
This article deals with some variants of Krätzel integral operators involving Fox’s H-function and their extension to classes of distributions and spaces of Boehmians. For real numbers a and b > 0 , the Fréchet space H a , b of testing functions has been identified as a subspace of certain Boehmian spaces. To establish the Boehmian spaces, two convolution products and some related axioms are established. The generalized variant of the cited Krätzel-Fox integral operator is well defined and is the operator between the Boehmian spaces. A generalized convolution theorem has also been given. View Full-Text
Keywords: H-function; kernel method; Krätzel function; Krätzel operator; distribution space; Boehmian space H-function; kernel method; Krätzel function; Krätzel operator; distribution space; Boehmian space
MDPI and ACS Style

Al-Omari, S.K.Q.; Jumah, G.; Al-Omari, J.; Saxena, D. A New Version of the Generalized Krätzel–Fox Integral Operators. Mathematics 2018, 6, 222. https://doi.org/10.3390/math6110222

AMA Style

Al-Omari SKQ, Jumah G, Al-Omari J, Saxena D. A New Version of the Generalized Krätzel–Fox Integral Operators. Mathematics. 2018; 6(11):222. https://doi.org/10.3390/math6110222

Chicago/Turabian Style

Al-Omari, Shrideh K.Q., Ghalib Jumah, Jafar Al-Omari, and Deepali Saxena. 2018. "A New Version of the Generalized Krätzel–Fox Integral Operators" Mathematics 6, no. 11: 222. https://doi.org/10.3390/math6110222

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