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Publications

Here you can find my list of publications, with links to the journals and to full texts for download.

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            ORCID Code 0000-0002-0479-4747    Author ID SCOPUS

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  • ​​Carrillo S. A. Lastra A. (2025) q-Nagumo norms and formal solutions to singularly perturbed q-difference equations. Mathematische Annalen, 391, 3399–3428. Doi 10.1007/s00208-024-03007-3. Available here.

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  • Carrillo S. A. Lastra A. (2023) Formal Gevrey solutions - in analytic germs - for higher order holomorphic PDEs. Mathematische Annalen,  386, 85-112. Doi 10.1007/s00208-022-02393-w.​

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  • ​Carrillo S. A. (2021) A quick proof of the regularity of the flow of analytic vector fields. C. R. Mathématique, 359(9), 1155-1159. Doi 10.5802/crmath.271.​

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  • Carrillo S. A. (2021)  Hurtado M., Appell and Sheffer sequences: on their characterizations through functionals and examples. C. R. Mathématique, 359(2), 205-217. Doi 10.5802/crmath.172

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  • Carrillo S. A. (2021)  Summability in a monomial for some classes of singularly perturbed partial differential equation. Publ. Mat.,  65 (1)  83-127. Doi 10.5565/PUBLMAT6512103

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  • Carrillo S.A. Mozo-Fernández J. Schäfke R. (2020) Tauberian theorems for summability in analytic functions. J. Math. Anal. Appl., 489(2) 124174, 1-21. Doi 10.1016/j.jmaa.2020.124174

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  • Carrillo, S. A.  Mozo-Fernández, J. (2018) An extension of Borel-Laplace methods and monomial summability. J. Math. Anal. Appl. 457(1) 461-477.  Doi 10.1016/j.jmaa.2017.08.028

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  • Carrillo, S. A.  Mozo-Fernández, J. (2016) Tauberian properties for monomial summability with appliactions to Pffafian systems. J. Diff. Equations 261(12), 7237-7255. Doi 10.1016/j.jde.2016.09.017

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  • Blázquez-Sanz, D., Carrillo, S. A. (2010) Group Analysis of Non-Autonomous Linear Hamiltonians Through Differential Galois Theory. Lobachevskii Journal of Mathematics 31 (2) ,157-173. Doi 10.1134/S1995080210020071​ Erratum: (2011) Vol. 32, No. 3, 238–240. Doi  10.1134/S1995080211030073

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In the Monthly​​
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  • Carrillo S. A. (2025) A Relation Between Higher Order Analogues to Raabe’s and Jamet’s Tests. Amer. Math. Monthly. 132(7), 634–646. doi 10.1080/00029890.2025.2495529. Avialable here.​
  • Carrillo S. A. (2023) Pythagorean boxes and quotients of Gaussian integers. Amer. Math. Monthly, 130(1), 76-82. Doi 10.1080/00029890.2022.2128160 Avaiable here.
  • Carrillo S. A. (2022) The composition of polynomials is a determinant. Amer. Math. Monthly, 129(2), 151-165. Doi 10.1080/00029890.2022.2005390 Available here.
Preprints
 
  • ​Carrillo S. A. On geometric forms for Cauchy's and Flett's mean value theorems. To appear in Boletín de Matemáticas.​​
Books/Chapters​
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  • Carrilo  S. A. Chachón L. (2023) Introducción al análisis real : guía actualizada de clase. Facultad de Ciencias. Unal Medellín. ISBN 978-958-505-394-6. Disponible aquí.

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  • Carrillo S. A. Hurtado C. A. (2022) Formal P-Gevrey series solutions of first-order holomorphic PDEs. Chapter 16 in: Formal and Analytic Solutions of Differential Equations, 325-362. World Scientific Publishing Europe Ltd, ISBN: 978-1-80061-135-1. Doi 10.1142/9781800611368_0016  arxiv.org/abs/2002.04404

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  • Carrillo, S. A. Mozo-Fernández, J. (2018) Spaces of Asymptotically Developable Functions and Applications. In: Mathematical Analysis and Applications: Selected Topics. John Wiley & Sons, Inc. ISBN: 978-1-119-41433-9 Doi 10.1002/9781119414421.ch1

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Others -teaching/divulgative-​
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  • Carrillo, S. A. (2022). Sum of alternating-like series as definite integrals. International Journal of Mathematical Education in Science and Technology, 53(10), 2856–2866. Doi 10.1080/0020739X.2021.194906. Avaiable here.(Previous version arxiv:2010.10290)

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  • Cano L., Carrillo S.A. (2020) Can we detect Gaussian curvature by counting paths and measuring their length? Rev. Integr. temas mat. 38(1) 33–42. Doi 10.18273/revint.v38n1-2020003.

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  • Carrillo S. A. Bernoulli and Euler numbers from divergent series. arXiv:1903.09228

Theses​
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  • Monomial multisummability through Borel-Laplace transforms. Applications to singularly perturbed differential equations and Pfaffian systems (2016) PhD thesis. U. de Valladolid. Available here

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  • Teorema de Briot-Bouquet en dimensión superior (2012) Master thesis. U. de Valladolid. Available here

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  • Integrabilidad de sistemas Hamiltonianos lineales no-autónomos a través de teoría de Galois diferencial (2011) Master thesis. Universidad Nacional de Colombia, Bogotá. Available here

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  • Constructibilidad mediante funciones Liouvillianas de curvas con curvatura y torsión funciones racionales (2009) Bachelor thesis. Universidad Sergio Arboleda.

© 2019 by Sergio Carrillo.
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