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Operational techniques for the solution of interpolation problems in applied mathematics and economics

机译:应用数学与经济学中的插值问题解决的操作技术

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The use of the monomiality principle and of the associated operational calculus allows to reformulate the theory of Hermite, Laguerre and Legendre polynomials from a unified point of view. They are indeed shown to be particular cases of more general polynomials, whose usefulness in purely mathematical and applied context is discussed. The powerful tool represented by the Hermite and Laguerre polynomials allows us to study many problems in applied mathematics and economics.
机译:使用单项性原理和相关的运营微积分允许从统一的角度来重构Hermite,Laguerre和Legendre多项式的理论。 它们确实被证明是更普遍的多项式的特定情况,讨论了纯粹数学和应用上下文的有用性。 由Hermite和Laguerre多项式代表的强大工具使我们能够研究应用数学和经济学中的许多问题。

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