Weierstrass transform associated with the Hankel operator.
Omri, Slim, Rachdi, Lakhdar Tannech (2009)
Bulletin of Mathematical Analysis and Applications [electronic only]
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Displaying similar documents to “Hankel Transform in Quantum Calculus and Applications”
Weierstrass transform associated with the Hankel operator.
On q-Laplace Transforms of the q-Bessel Functions
Purohit, S., Kalla, S. (2007)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 33D15, 44A10, 44A20 The present paper deals with the evaluation of the q-Laplace transforms of a product of basic analogues of the Bessel functions. As applications, several useful special cases have been deduced.
Hankel type integral transforms connected with the hyper-Bessel differential operators
Yurii Luchko, Virginia Kiryakova (2000)
Banach Center Publications
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In this paper we give a solution of a problem posed by the second author in her book, namely, to find symmetrical integral transforms of Fourier type, generalizing the cos-Fourier (sin-Fourier) transform and the Hankel transform, and suitable for dealing with the hyper-Bessel differential operators of order m>1 , β>0, , j=1,...,m. We obtain such integral transforms corresponding to hyper-Bessel operators of even order 2m and belonging to the class of the Mellin convolution type...
An extension on trilinear Hilbert transform.
Bučkovska, Aneta (2002)
Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
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The compression of a slant Hankel operator to .
Zegeye, Taddesse, Arora, S.C. (2003)
Publications de l'Institut Mathématique. Nouvelle Série
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An Analogue of Beurling-Hörmander’s Theorem for the Dunkl-Bessel Transform
Mejjaoli, Hatem (2006)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: Primary 35R10, Secondary 44A15 We establish an analogue of Beurling-Hörmander’s theorem for the Dunkl-Bessel transform FD,B on R(d+1,+). We deduce an analogue of Gelfand-Shilov, Hardy, Cowling-Price and Morgan theorems on R(d+1,+) by using the heat kernel associated to the Dunkl-Bessel-Laplace operator.
Spectrum of Functions for the Dunkl Transform on R^d
Mejjaoli, Hatem, Trimèche, Khalifa (2007)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 42B10 In this paper, we establish real Paley-Wiener theorems for the Dunkl transform on R^d. More precisely, we characterize the functions in the Schwartz space S(R^d) and in L^2k(R^d) whose Dunkl transform has bounded, unbounded, convex and nonconvex support.
Generalization of the Modified Bessel Function and Its Generating Function
Griffiths, J., Leonenko, G., Williams, J. (2005)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: 33C10, 33-02, 60K25 This paper presents new generalizations of the modified Bessel function and its generating function. This function has important application in the transient solution of a queueing system.
Sonine transform associated to the Dunkl kernel on the real line.
Soltani, Fethi (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Besov-type spaces on R and integrability for the Dunkl transform.
Abdelkefi, Chokri, Anker, Jean-Philippe, Sassi, Feriel, Sifi, Mohamed (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Integral Representations of Generalized Mathieu Series Via Mittag-Leffler Type Functions
Tomovski, Živorad (2007)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 33C05, 33C10, 33C20, 33C60, 33E12, 33E20, 40A30 The main purpose of this paper is to present a number of potentially useful integral representations for the generalized Mathieu series as well as for its alternating versions via Mittag-Leffler type functions.