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On a class of generalized functions for some integral transform enfolding kernels of Meijer $G$ function type

Shrideh Khalaf Al-Omari
대한수학회 (The Korean Mathematical Society)|2018.04|대한수학회논문집 (Communications of the KMS)|제33권 제2호|pp. 515-525

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참고문헌

키워드

Mellin-Barnes type integralBoehmiansmodified $G^{2}$ transform$G$ functionsummable spaceFox's $H$ function
주제분류수학

초록

In this paper, we investigate a modified $G^{2}$ transform on a class of Boehmians. We prove the axioms which are necessary for establishing the $G^{2}$ class of Boehmians. Addition, scalar multiplication, convolution, differentiation and convergence in the derived spaces have been defined. The extended $G^{2}$ transform of a Boehmian is given as a one-to-one onto mapping that is continuous with respect to certain convergence in the defined spaces. The inverse problem is also discussed.

Abstract

In this paper, we investigate a modified $G^{2}$ transform on a class of Boehmians. We prove the axioms which are necessary for establishing the $G^{2}$ class of Boehmians. Addition, scalar multiplication, convolution, differentiation and convergence in the derived spaces have been defined. The extended $G^{2}$ transform of a Boehmian is given as a one-to-one onto mapping that is continuous with respect to certain convergence in the defined spaces. The inverse problem is also discussed.

참고문헌 (22)

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관련 논문AI추천

REAL COVERING OF THE GENERALIZED HANKEL-CLIFFORD TRANSFORM OF FOX KERNEL TYPE OF A CLASS OF BOEHMIANS최준상, Praveen Agarwal, S. K. Q. Al-Omari대한수학회 · 대한수학회보2015 · 제52권 제5호Estimation of a modified integral associated with a special function kernel of Fox's $H$-function typeShrideh Khalaf Qasem Al-Omari대한수학회 · 대한수학회논문집2020 · 제35권 제1호A generalized integral transform with the kernel on function space with related topics정현수대한수학회 · 대한수학회보2024 · 제61권 제5호Convolution theorems for fractional Fourier cosine and sine transforms and their extensions to BoehmiansChinnaraman Ganesan, Rajakumar Roopkumar대한수학회 · 대한수학회논문집2016 · 제31권 제4호Fourier Cosine and Sine Transformable BoehmiansChinnaraman Ganesan, Rajakumar Roopkumar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제1호Some integral transforms involving extended generalized Gauss hypergeometric functions최준상, Jyotindra C. Prajapati, Krunal B. Kachhia, Sunil Dutt Purohit대한수학회 · 대한수학회논문집2016 · 제31권 제4호

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