Affiliation:
1. Waldbröl, Germany
2. Department of Mathematics, Dongguk University, Gyeongju, Republic of Korea
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.
Publisher
National Library of Serbia
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference16 articles.
1. H. Alzer, J. Choi: Four parametric linear Euler sums. J. Math. Anal. Appl., 484(1) (2020), Article ID 123661. https://doi.org/10.1016/j.jmaa.2019.123661
2. H. Alzer, S. Koumandos: Series representations for γ and other mathematical constants. Anal. Math., 34(1) (2008), 1-8.
3. H. Alzer, S. Koumandos: Series and product representations for some mathematical constants. Period. Math. Hung., 58(1) (2009), 71-82.
4. H. Alzer, K.C. Richards: Series representations for special functions and mathematical constants. Ramanujan J., 40 (2016), 291-310.
5. H. Alzer, J. Sondow: A parameterized series representation for Apéry’s constant ζ(3). J. Comput. Anal. Appl., 20(7) (2016), 1380-1386.