دورية أكاديمية
Some Series of the Zeta and Related Functions
| العنوان: | Some Series of the Zeta and Related Functions |
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| المؤلفون: | Victor S. Adamchik, H. M Srivastava |
| سنة النشر: | 2018 |
| المجموعة: | KiltHub Research from Carnegie Mellon University |
| مصطلحات موضوعية: | Information and Computing Sciences not elsewhere classified, Zeta functions, Polygamma functions, Polylogarithmic functions, integral representations, Bernoulli numbers, Stirling numbers, analytic continuation, harmonic sums, Khintchine constant |
| الوصف: | We propose and develop yet another approach to the problem of summation of series involving the Riemann Zeta function , the Hurwitz generalized Zeta function , the Polygamma function , and the polylogarithmic function. The key ingredients in our approach include certain known integral representations for the Zeta function. The method developed in this paper is illustrated by numerous examples of closed-form evaluations of series of the aforementioned types. Many of the resulting summation formulas are believed to be new. The method has been implemented in Mathematica. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | unknown |
| العلاقة: | https://figshare.com/articles/Some_Series_of_the_Zeta_and_Related_Functions/6609671Test |
| DOI: | 10.1184/r1/6609671.v1 |
| الإتاحة: | https://doi.org/10.1184/r1/6609671.v1Test https://figshare.com/articles/Some_Series_of_the_Zeta_and_Related_Functions/6609671Test |
| حقوق: | In Copyright |
| رقم الانضمام: | edsbas.884F8903 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1184/r1/6609671.v1 |
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