Expansion of Kampé de Fériet's function.
Expansions of distributions in terms of generalized heat polynomials and their Appell transforms.
Exponentielles et fonctionnelles de Schwinger en analyse gaussienne non commutative
Extension of separately analytic functions and applications to range characterization of the exponential Radon transform
We consider the problem of characterizing the range of the exponential Radon transform. The proof uses extension properties of separately analytic functions, and we prove a new theorem about extending such functions.
Extension sets for real analytic functions and applications to Radon transforms.
Extensions of Laplace transform spaces and their topologies
Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces.
Extreme positive definite double sequences which are not moment sequences.
From the fact that the two-dimensional moment problem is not always solvable, we can deduce that there must be extreme ray generators of the cone of positive definite double sequences which are nor moment sequences. Such an argument does not lead to specific examples. In this paper it is shown how specific examples can be constructed if one is given an example of an N-extremal indeterminate measure in the one-dimensional moment problem (such examples exist in the literature). Konrad Schmüdgen had...
Faltung hypersingulärer Integraloperatoren.
Finite symmetric trilinear integral transform of distributions. II.
Fourier -transform of distributions
Fourier method for Laplace transform inversion.
Fourier Reconstruction in Tomography.
Fourier transforms in generalized Fock spaces.
Fourier transforms of Lipschitz functions on certain Lie groups.
Fourier-Laplace transforms and the Bergman spaces on tube domains
Fourier-like kernels as solutions of ODE's.
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...
Fractional derivative of the multivariable polynomials.
Fractional Integration and Fractional Differentiation of the M-Series
Mathematics Subject Classification: 26A33, 33C60, 44A15In this paper a new special function called as M-series is introduced. This series is a particular case of the H-function of Inayat-Hussain. The M-series is interesting because the pFq -hypergeometric function and the Mittag-Leffler function follow as its particular cases, and these functions have recently found essential applications in solving problems in physics, biology, engineering and applied sciences. Let us note that the Mittag-Leffler ...