(,) mapping properties of convolution transforms
A certain integral-recurrence equation with discrete-continuous auto-convolution
Laplace transform and some of the author’s previous results about first order differential-recurrence equations with discrete auto-convolution are used to solve a new type of non-linear quadratic integral equation. This paper continues the author’s work from other articles in which are considered and solved new types of algebraic-differential or integral equations.
A certain inversion problem for the ray transform with incomplete data.
A characterization of commutators with Hilbert transforms
A characterization of probability measures by f-moments
Given a real-valued continuous function ƒ on the half-line [0,∞) we denote by P*(ƒ) the set of all probability measures μ on [0,∞) with finite ƒ-moments (n = 1,2...). A function ƒ is said to have the identification propertyif probability measures from P*(ƒ) are uniquely determined by their ƒ-moments. A function ƒ is said to be a Bernstein function if it is infinitely differentiable on the open half-line (0,∞) and is completely monotone for some nonnegative integer n. The purpose of this paper...
A characterization of the generalized Meijer transform.
A Convolution Connected with the Kontorovich-Lebedev Transform.
A convolution relation with remainder estimate.
A Direct Approach to the Mellin Transform.
A direct extension of Meller's calculus.
A distribution Hardy transformation.
A family of heat functions as solutions of indeterminate moment problems.
A finite-interval uniqueness theorem for bilateral Laplace transforms.
A Fractional LC − RC Circuit
Mathematics Subject Classification: 26A33, 30B10, 33B15, 44A10, 47N70, 94C05We suggest a fractional differential equation that combines the simple harmonic oscillations of an LC circuit with the discharging of an RC circuit. A series solution is obtained for the suggested fractional differential equation. When the fractional order α = 0, we get the solution for the RC circuit, and when α = 1, we get the solution for the LC circuit. For arbitrary α we get a general solution which shows how the...
A function related to a Lagrange-Bürmann series
An infinite series which arises in certain applications of the Lagrange-Bürmann formula to exponential functions is investigated. Several very exact estimates for the Laplace transform and higher moments of this function are developed.
A general background of higher order geometry and induced objects on subspaces.
A general bounded continuous moment problem and its sets of uniqueness
A general scheme for constructing inversion algorithms for cone beam CT.
A general theory of integral transforms and its applications
A generalized Hankel convolution on Zemanian spaces.