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Number Sequences in an Integral Form with a Generalized Convolution Property and Somos-4 Hankel Determinants

Rajkovic, Predrag M., Barry, Paul, Savic, Natasa (2012)

Mathematica Balkanica New Series

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.

Numerical aspects of the identification of thermal characteristics using the hot-wire method

Vala, Jiří (2013)

Programs and Algorithms of Numerical Mathematics

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...

Numerical Integration over a Semi-Infinite Interval, Using the Lognormal Distribution.

I.C. Simpson (1978/1979)

Numerische Mathematik

Displaying 21 – 23 of 23

Number Sequences in an Integral Form with a Generalized Convolution Property and Somos-4 Hankel Determinants

Numerical aspects of the identification of thermal characteristics using the hot-wire method

Numerical Integration over a Semi-Infinite Interval, Using the Lognormal Distribution.

Currently displaying 21 – 23 of 23