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Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions

机译:特殊数字和多项式的生成函数分析及其恒等式与递归关系

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摘要

The aim of this is to give generating functions for new families of special numbers and polynomials of higher order. By using these generating functions and their functional equations, we derive identities and relations for these numbers and polynomials. Relations between these new families of special numbers and polynomials and Bernoulli numbers and polynomials are given. Finally, recurrence relations and derivative formulas, which are related to these numbers and polynomials, are given.
机译:目的是为新的特殊数字族和高阶多项式提供生成函数。通过使用这些生成函数及其函数方程,我们可以得出这些数字和多项式的恒等式和关系。给出了这些新的特殊数字和多项式族与Bernoulli数和多项式族之间的关系。最后,给出了与这些数字和多项式有关的递归关系和导数公式。

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