Fractional calculus, zeta functions and Shannon entropy
Author:
Affiliation:
1. Institute of Biosciences, Letters and Exact Sciences, São Paulo State University (UNESP), Rua Cristóvão Colombo 2265 , 15054-000 São José do Rio Preto , SP, Brazil
Abstract
Publisher
Walter de Gruyter GmbH
Subject
General Mathematics
Link
https://www.degruyter.com/document/doi/10.1515/math-2021-0010/pdf
Reference19 articles.
1. H. M. Srivastava, Operators of basic (or q-) calculus and fractional q-calculus and their applications in geometric function theory of complex analysis, Iran. J. Sci. Technol. Trans. A Sci. 44 (2020), no. 1, 327–344, https://doi.org/10.1007/s40995-019-00815-0.
2. P. Závada, Operator of fractional derivative in the complex plane, Comm. Math. Phys. 192 (1998), no. 2, 261–285, https://doi.org/10.1007/s002200050299.
3. E. Guariglia, Fractional derivative of the Riemann zeta function, in: C. Cattani, H. M. Srivastava, and X.-J. Yang (eds), Fractional Dynamics, De Gruyter, Warsaw/Berlin, 2015, pp. 357–368, https://doi.org/10.1515/9783110472097-022.
4. E. Guariglia and S. Silvestrov, A functional equation for the Riemann zeta fractional derivative, AIP Conference Proceedings 1798 (2017), no. 1, 020063, https://doi.org/10.1063/1.4972738.
5. E. Guariglia, Riemann zeta fractional derivative – functional equation and link with primes, Adv. Differ. Equ. 2019 (2019), no. 1, 261, https://doi.org/10.1186/s13662-019-2202-5.
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