1,720,974 research outputs found
Characteristic functions and s-orthogonality properties of Chebyshev polynomials of 3^ and 4^ kind
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Sull'errore nella risoluzione approssimata di problemi di equazioni differenziali ordinarie con autovalori
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Comments on operational methods and diffusion problems
No full textLaguerre-type PDE problems are related to the so called Laguerre derivative
ĎL := Dx xDx which appears when studying diffusion problems and even in mechanical problems such as the oscillating chain. In this article we use an operational approach in order to write down explicitly the solutions of problems depending on analytical initial or boundary data. Further applications to the Schrӧdinger equation and other diffusion problems are considered in the last section
Bell polynomials and generalized Blissard problems
No full textWe introduce two possible generalizations of the classical Blissard problem and we show how to solve them by using the second order and multi-dimensional Bell polynomials, whose most important properties are recalled. (C) 2010 Elsevier Ltd. All rights reserved
The negative derivative operator
No full textWe discuss the use of the negative derivative operator formalism to derive new series expansion for special functions and combinatorial identities
Monomiality,orthogonal and pseudo orthogonal polynomials
No full textWe reconsider some families of orthogonal polynomials, within the
framework of the so called monomiality principle. We show that the
associated operational formalism allows the framing of the polynomial
orthogonality using an algebraic point of view. Within such a frame-
work, we introduce families of pseudo-orthogonal polynomials, namely
polynomials, not orthogonal under the ordinary denition, but provid-
ing series expansions, which can be obtained from the ordinary series
using the monomiality correspondence
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