The search session has expired. Please query the service again.
Displaying 581 –
600 of
1180
Wiener and compensated Poisson processes, as normal martingales, are associated to classical sequences of polynomials, namely Hermite polynomials for the first one and Charlier polynomials for the second. The problem studied in this paper is to find if there exist other normal martingales which are associated to classical sequences of polynomials. Privault, Solé and Vives [5] solved this problem via the quantum Kabanov formula under some assumptions on the normal martingales considered. We solve...
MSC 2010: 11B83, 05A19, 33C45This paper is dealing with the Hankel determinants of the special number sequences given in an integral form. We show that these sequences satisfy a generalized convolution property and the Hankel determinants have the generalized Somos-4 property. Here, we recognize well known number sequences such as: the Fibonacci, Catalan, Motzkin and SchrÄoder sequences, like special cases.
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...
The aim of this paper is to study a generalized form of elliptic-type integrals
which unify and extend various families of elliptic-type integrals studied
recently by several authors. In a recent communication [1] we
have obtained recurrence relations and asymptotic formula for this generalized
elliptic-type integral. Here we shall obtain some more results which
are single and multiple integral formulae, differentiation formula, fractional
integral and approximations for this class of generalized...
Currently displaying 581 –
600 of
1180