具有第二类斯特林数和其他特殊数的级数的Hadamard积

IF 0.5 Q4 EDUCATION & EDUCATIONAL RESEARCH

International Electronic Journal of Mathematics Education Pub Date : 2022-08-25 DOI:10.47443/ejm.2022.024

Khristo N. Boyadzhiev, R. Frontczak

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引用次数: 0

摘要

我们以封闭形式求出一些幂级数，其中系数是第二类斯特林数和其他特殊数或多项式的乘积。结果包括调和，超调和，无序，柯西，加泰罗尼亚数，zeta值，以及伯努利，欧拉和拉盖尔多项式。

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The Hadamard product of series with Stirling numbers of the second kind and other special numbers

We evaluate in closed form a number of power series where the coeﬃcients are products of Stirling numbers of the second kind and other special numbers or polynomials. The results include harmonic, hyperharmonic, derangement, Cauchy, Catalan numbers, zeta values, and also Bernoulli, Euler, and Laguerre polynomials.

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来源期刊

International Electronic Journal of Mathematics Education

CiteScore

2.00

自引率

0.00%

发文量