A generalized Meijer transformation.
A new class of Bessel function integrals.
A new form of the spherical expansion of zonal functions and Fourier transforms of -finite functions.
A new variant for the Meijer's integral transform
A note on dual integral equations involving inverse associated Weber-Orr transforms.
A property of L-L integral transformations.
A refined Tauberian Theorem for Laplace transforms in dimension d>1.
About calculation of the Hankel transform using preliminary wavelet transform.
Almost everywhere convergence of the spherical partial Fourier integrals for radial functions.
Analytic representation of the distributional finite Hankel transform.
Bessel Transforms and Rational Extrapolation.
Best approximations for the Laguerre-type Weierstrass transform on .
Brève communication. Une nouvelle méthode de calcul de la transformée inverse d'une fonction au sens de Laplace et de la déconvolution de deux fonctions
Certain theorems in operational calculus involving integrals containing hyperbolic functions
Characterization of Hankel transformable generalized functions.
Conjugacy for Fourier-Bessel expansions
We define and investigate the conjugate operator for Fourier-Bessel expansions. Weighted norm and weak type (1,1) inequalities are proved for this operator by using a local version of the Calderón-Zygmund theory, with weights in most cases more general than weights. Also results on Poisson and conjugate Poisson integrals are furnished for the expansions considered. Finally, an alternative conjugate operator is discussed.
Dual integral equations involving Weber-Orr transforms.
Fractional Calculus of P-transforms
MSC 2010: 44A20, 33C60, 44A10, 26A33, 33C20, 85A99The fractional calculus of the P-transform or pathway transform which is a generalization of many well known integral transforms is studied. The Mellin and Laplace transforms of a P-transform are obtained. The composition formulae for the various fractional operators such as Saigo operator, Kober operator and Riemann-Liouville fractional integral and differential operators with P-transform are proved. Application of the P-transform in reaction rate...
General representability problem for the Laplace transform of exponentially bounded vector-valued functions
Generalized modified Struve transform