NEW SERIES WITH CAUCHY AND STIRLING NUMBERS, PART 2

Applicable Analysis and Discrete Mathematics

article

Khristo N. Boyadzhiev¹  Levent Kargın² 

[1] Department of Mathematics, Ohio Northern University Ada;Department of Mathematics, Akdeniz University

关键词: Cauchy number;    Harmonic number;    Hyperharmonic number;    Central binomial coefficient;    Series with special numbers;   

DOI  :  10.2298/AADM210112001B

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

We evaluate in closed form several series involving products of Cauchy numbers with other special numbers (harmonic, skew-harmonic, hyperharmonic,and central binomial). Similar results are obtained with series involving Stirling numbers of the first kind. We focus on several particular cases which givenew closed forms for Euler sums of hyperharmonic numbers and products ofhyperharmonic and harmonic numbers.

【 授权许可】

Unknown