On modified Mellin transform of generalized functions

QR Code

On modified Mellin transform of generalized functions

We investigate the modified Mellin transform on certain function space of generalized functions. We first obtain the convolution theorem for the classical and distributional modified Mellin transform. Then we describe the domain and range spaces where the extended modified transform is well defined....

Full description

Bibliographic Details
Main Authors:	Al-Omari, Shrideh Khalaf Qasem, Kilicman, Adem
Format:	Article
Language:	English
Published:	Hindawi Publishing Corporation 2013
Online Access:	http://psasir.upm.edu.my/id/eprint/30264/ http://psasir.upm.edu.my/id/eprint/30264/1/30264.pdf

Similar Items

Unified treatment of the Krätzel transformation for generalized functions
by: Al-Omari, Shrideh Khalaf Qasem, et al.
Published: (2013)

On the generalized Hartley-Hilbert and Fourier-Hilbert transforms
by: Al-Omari, Shrideh Khalaf Qasem, et al.
Published: (2012)

On the generalized Krätzel transform and its extension to Boehmian spaces
by: Al-Omari, Shrideh Khalaf Qasem, et al.
Published: (2013)

On the exponential Radon transform and its extension to certain functions spaces
by: Al-Omari, Shrideh Khalaf Qasem, et al.
Published: (2014)

The Mellin Transform of Generalized Functions and Some Applications
by: Kamel Ariffin, Muhammad Rezal
Published: (2002)

Note on fractional Mellin transform and applications
by: Kilicman, Adem, et al.
Published: (2016)

An estimate of Sumudu transforms for Boehmians
by: Al-Omari, Shrideh Khalaf Qasem, et al.
Published: (2013)

On diffraction Fresnel transforms for Boehmians
by: Al-Omari, Shrideh Khalaf Qasem, et al.
Published: (2011)

Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians
by: Al-Omari, Shrideh Khalaf Qasem, et al.
Published: (2013)

An efficient fingerprint verification system using integrated wavelet and Fourier–Mellin invariant transform
by: Jin, A
Published: (2004)

Mathematical modeling with generalized function
by: Kilicman, Adem
Published: (2011)

Generalized preinvex functions and their applications
by: Kilicman, Adem, et al.
Published: (2018)

Notions of generalized s-convex functions on fractal sets
by: Kilicman, Adem, et al.
Published: (2015)

Generalized geodesic convex functions on Riemannian manifolds
by: Kilicman, Adem, et al.
Published: (2019)

Some generalized Hermite-Hadamardtype integral inequalities for generalizeds-convex functions on fractal sets
by: Kilicman, Adem, et al.
Published: (2015)

On product of generalized s-convex functions and new inequalities on fractal sets
by: Kilicman, Adem, et al.
Published: (2017)

On some inequalities for generalized s-convex functions and applications on fractal sets
by: Kilicman, Adem, et al.
Published: (2017)

On integral transforms and matrix functions
by: Eltayeb, Hassan, et al.
Published: (2011)

Some applications for generalized fractional operators in analytic functions spaces
by: Adem, Kilicman, et al.
Published: (2019)

On a system of q-modified Laplace transform and its applications
by: Kilicman, Adem, et al.
Published: (2021)

Note on the fractional Mittag-Leffler functions by applying the modified Riemann-Liouville derivatives
by: Kilicman, Adem, et al.
Published: (2022)

Generalized difference strongly summable sequence spaces of fuzzy real numbers defined by ideal convergence and Orlicz function
by: Kilicman, Adem, et al.
Published: (2013)

Some new classes of generalized difference strongly summable n-normed sequence spaces defined by ideal convergence and Orlicz function
by: Kilicman, Adem, et al.
Published: (2014)

On double Sumudu transform and double Laplace transform
by: Eltayeb, Hassan, et al.
Published: (2010)

Analytical solutions of nonlinear Schrodinger equations using multistep modified reduced differential transform method
by: Che Hussin, Che Haziqah, et al.
Published: (2018)

On generalized difference Hahn sequence spaces
by: Kuldip Raj,, et al.
Published: (2014)

On convergents infinite products and some generalized inverses of matrix sequences
by: Kilicman, Adem, et al.
Published: (2011)

An application of double Laplace transform and double Sumudu transform
by: Kilicman, Adem, et al.
Published: (2009)

Certain generalized fractional calculus formulas and integral transforms involving (p,q)-Mathieu-type series
by: Agarwal, Ravi P., et al.
Published: (2019)

Product property on generalized Lindelof spaces.
by: Kilicman, Adem, et al.
Published: (2011)

Generalized compactness in fuzzy bitopological spaces
by: Alharbi, Ahlam Ahmed, et al.
Published: (2024)

Certain integral formulae associated with the product of generalized hypergeometric series and several elementary functions derived from formulas for the beta function
by: Choi, Junesang, et al.
Published: (2022)

Pairwise semiregular properties on generalized pairwise regular-Lindelof spaces.
by: Salleh, Zabidin, et al.
Published: (2008)

On the generalized mass transport equation to the concept of variable fractional derivative
by: Atangana, Abdon, et al.
Published: (2014)

Integral transforms and partial differential equations
by: Kilicman, Adem, et al.
Published: (2009)

Note on the numerical solutions of the general matrix convolution equations by using the iterative methods and box convolution product
by: Kilicman, Adem, et al.
Published: (2010)

A note on generalizations of Bailey's identity involving products of generalized hypergeometric series
by: Kilicman, Adem, et al.
Published: (2022)

Integral inequalities for s-convexity via generalized fractional integrals on fractal sets
by: Almutairi, Ohud, et al.
Published: (2020)

Note on generalized neighborhoods structures in fuzzy bitopological spaces
by: Ahmed Alharbi, Ahlam, et al.
Published: (2023)

Generalized different types of mappings in fuzzy bitopological spaces
by: Alharbi, Ahlam Ahmed, et al.
Published: (2023)