更多具有二项式系数的倒数数列及其求值

4区工程技术 Q1 Mathematics Mathematical Problems in Engineering Pub Date : 2024-01-16 DOI:10.1155/2024/6640697

Shruthi C. Bhat, M. Krithi, B. R. Srivatsa Kumar

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引用次数: 0

摘要

本研究利用已知数列，构建了涉及二项式系数倒数、交替正二项式系数和负二项式系数的新数列。此外，我们还得到了分母中有两个奇数项的二项式系数倒数的几个新数列。最后，我们利用这些方法建立了参数 1/16 的超几何函数的封闭式求值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Few More Series of Reciprocals with Binomial Coefficients and Their Evaluations

In the present work, utilizing the known series, new series involving reciprocals of binomial coefficients, alternating positive, and negative binomial coefficients are constructed. Further, several new series of reciprocals of binomial coefficients with two odd terms in the denominator are obtained. In the end, we use these to establish the closed form evaluations of hypergeometric functions for the argument 1/16.

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来源期刊

Mathematical Problems in Engineering 工程技术-工程：综合

CiteScore

4.00

自引率

0.00%

发文量

2853

审稿时长

4.2 months

期刊介绍： Mathematical Problems in Engineering is a broad-based journal which publishes articles of interest in all engineering disciplines. Mathematical Problems in Engineering publishes results of rigorous engineering research carried out using mathematical tools. Contributions containing formulations or results related to applications are also encouraged. The primary aim of Mathematical Problems in Engineering is rapid publication and dissemination of important mathematical work which has relevance to engineering. All areas of engineering are within the scope of the journal. In particular, aerospace engineering, bioengineering, chemical engineering, computer engineering, electrical engineering, industrial engineering and manufacturing systems, and mechanical engineering are of interest. Mathematical work of interest includes, but is not limited to, ordinary and partial differential equations, stochastic processes, calculus of variations, and nonlinear analysis.