Notiz über die Dirichlet'schen Integralausdrücke für die Kugelfunction. Pn (cos ....) und über eine analoge Integralform für die Cylinderfunction J (x)
Numerical aspects of the identification of thermal characteristics using the hot-wire method
The hot-wire method, based on the recording of the temperature development in time in a testing sample, supplied by a probe with its own thermal source, is useful to evaluate the thermal conductivity of materials under extremal loads, in particular in refractory brickworks. The formulae in the technical standards come from the analytical solution of the non-stationary equation of heat conduction in cylindric (finally only polar) coordinates for a simplified formulation of boundary conditions, neglecting...
On a class of integrals involving a Bessel function times Gegenbauer polynomials.
On a Fourier-Bessel series of special kind
On a generalization of Hankel kernel.
On a Monotonicity Property of Bessel Functions.
On a non-self adjoint expansion formula.
On a testing-function space for distributions associated with the Kontorovich-Lebedev transform.
We construct a testing function space, which is equipped with the topology that is generated by Lν,p - multinorm of the differential operatorAx = x2 - x d/dx [x d/dx],and its k-th iterates Akx, where k = 0, 1, ... , and A0xφ = φ. Comparing with other testing-function spaces, we introduce in its dual the Kontorovich-Lebedev transformation for distributions with respect to a complex index. The existence, uniqueness, imbedding and inversion properties are investigated. As an application we find a solution...
On certain theorems in transform calculus.
On convergence of orthogonal series of Bessel functions
On Hankel Transform of Generalized Mathieu Series
Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20By using integral representations for several Mathieu type series, a number of integral transforms of Hankel type are derived here for general families of Mathieu type series. These results generalize the corresponding ones on the Fourier transforms of Mathieu type series, obtained recently by Elezovic et al. [4], Tomovski [19] and Tomovski and Vu Kim Tuan [20].
On numerical evaluation of integrals involving Bessel functions
On parameter differentiation for integral representations of associated Legendre functions.
On q-Laplace Transforms of the q-Bessel Functions
Mathematics Subject Classification: 33D15, 44A10, 44A20The 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.
On rational De Rham cohomology associated with the generalized airy function
On solutions of differential equations with ``common zero'' at infinity
The zeros of the solution of the differential equation are investigated when , and has some monotonicity properties as . The notion is introduced also for real, too. We are particularly interested in solutions which are “close" to the functions , when is large. We derive a formula for and apply the result to Bessel differential equation, where we introduce new pair of linearly independent solutions replacing the usual pair , . We show the concavity of for and also...
On some general distributions in terms of generalized functions
On Some Relations which are Equivalent to Functional Equations Involving the Riemann Zeta Function.
On the asymptotic expansion of the Airy function
Si prova una nuova formula di rappresentazione per la famosa funzione di Airy. Ne viene data applicazione per la determinazione di certi bounds significativi per la funzione stessa.
On the computation of Riccati-Bessel functions
The paper deals with the computation of Riccati-Bessel functions. A modification of Miller method is presented together with estimates of relative errors.