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Evaluating Fractional Derivatives of the Riemann Zeta Function
We present a method for evaluating the reverse Grünwald-Letnikov fractional derivatives of the Riemann Zeta function [Formula: see text] and use it to explore the location of zeros of integral and fractional derivatives on the left half plane.
| Autores principales: | , , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
2020
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| Materias: | |
| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7340890/ http://dx.doi.org/10.1007/978-3-030-52200-1_9 |
| _version_ | 1783555115159912448 |
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| author | Farr, Ricky E. Pauli, Sebastian Saidak, Filip |
| author_facet | Farr, Ricky E. Pauli, Sebastian Saidak, Filip |
| author_sort | Farr, Ricky E. |
| collection | PubMed |
| description | We present a method for evaluating the reverse Grünwald-Letnikov fractional derivatives of the Riemann Zeta function [Formula: see text] and use it to explore the location of zeros of integral and fractional derivatives on the left half plane. |
| format | Online Article Text |
| id | pubmed-7340890 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2020 |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-73408902020-07-08 Evaluating Fractional Derivatives of the Riemann Zeta Function Farr, Ricky E. Pauli, Sebastian Saidak, Filip Mathematical Software – ICMS 2020 Article We present a method for evaluating the reverse Grünwald-Letnikov fractional derivatives of the Riemann Zeta function [Formula: see text] and use it to explore the location of zeros of integral and fractional derivatives on the left half plane. 2020-06-06 /pmc/articles/PMC7340890/ http://dx.doi.org/10.1007/978-3-030-52200-1_9 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic. |
| spellingShingle | Article Farr, Ricky E. Pauli, Sebastian Saidak, Filip Evaluating Fractional Derivatives of the Riemann Zeta Function |
| title | Evaluating Fractional Derivatives of the Riemann Zeta Function |
| title_full | Evaluating Fractional Derivatives of the Riemann Zeta Function |
| title_fullStr | Evaluating Fractional Derivatives of the Riemann Zeta Function |
| title_full_unstemmed | Evaluating Fractional Derivatives of the Riemann Zeta Function |
| title_short | Evaluating Fractional Derivatives of the Riemann Zeta Function |
| title_sort | evaluating fractional derivatives of the riemann zeta function |
| topic | Article |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7340890/ http://dx.doi.org/10.1007/978-3-030-52200-1_9 |
| work_keys_str_mv | AT farrrickye evaluatingfractionalderivativesoftheriemannzetafunction AT paulisebastian evaluatingfractionalderivativesoftheriemannzetafunction AT saidakfilip evaluatingfractionalderivativesoftheriemannzetafunction |