Two parameterized series representations for the digamma function

IF 1 4区 数学 Q1 MATHEMATICS
H. Alzer, Junesang Choi
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引用次数: 0

Abstract

Numerous series representations for various special functions and mathematical constants have been developed by many authors. The aim of this article is to establish two parameterized series representations for the digamma function that seem interesting due to their independence from the given parameters. Among many particular cases of our two main findings, some are covered in the examples.
二格玛函数的两个参数化级数表示
许多作者已经提出了各种特殊函数和数学常数的数列表示。本文的目的是建立两个参数化的数列表示,这两个数列表示似乎很有趣,因为它们独立于给定的参数。在我们的两个主要发现的许多特殊情况中,示例中涵盖了一些情况。
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来源期刊
Applicable Analysis and Discrete Mathematics
Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
2.40
自引率
11.10%
发文量
34
审稿时长
>12 weeks
期刊介绍: Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).
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