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https://repositoriodspace.unipamplona.edu.co/jspui/handle/20.500.12744/10756Registro completo de metadatos
| Campo DC | Valor | Lengua/Idioma |
|---|---|---|
| dc.contributor.author | Mendoza Suárez, Rosalba. | - |
| dc.contributor.author | López Carreño, Juan Carlos. | - |
| dc.contributor.author | Mendoza Suárez, Jairo Alonso. | - |
| dc.date.accessioned | 2026-08-12T15:23:55Z | - |
| dc.date.available | 2026-02-20 | - |
| dc.date.available | 2026-08-12T15:23:55Z | - |
| dc.date.issued | 2026 | - |
| dc.identifier.citation | Mendoza Suárez, R.; López Carreño, J.; Mendoza Suárez, J. (2026). Tópicos de funciones hipergeométricas. Sello Editorial Universidad de Pamplona. https://repositoriodspace.unipamplona.edu.co/jspui/handle/20.500.12744/10756 | es_CO |
| dc.identifier.isbn | 978-628-7656-95-6 | - |
| dc.identifier.uri | https://repositoriodspace.unipamplona.edu.co/jspui/handle/20.500.12744/10756 | - |
| dc.description | Este libro de matemáticas avanzadas aborda el estudio de algunos temas de funciones especiales. El documento se estructura en tres capítulos. El primero está dedicado a la función Gamma, presentando las definiciones dadas por Euler Gauss y Weierstrass; estableciendo sus equivalencias. En este primer capítulo también se enuncian y demuestran algunas de las propiedades más esenciales de la función Gamma, entre las que se destacan la relación de recurrencia, la fórmula de reflexión de Euler, la fórmula de duplicación de Legendre. El segundo capítulo introduce la función hipergeométrica, explorando algunas de sus propiedades. En el tercer capítulo se aplica la teoría desarrollada para calcular sumas binomiales y series especiales. | es_CO |
| dc.description.abstract | This advanced mathematics book addresses the study of selected topics in special functions. The document is structured into three chapters. The rst is dedicated to the Gamma function, presenting the definitions provided by Euler, Gauss, and Weierstrass, and establishing their equivalencies. This first chapter also states and proves some of the most essential properties of the Gamma function, notably the recurrence relation, Euler's re ection formula, and Legendre's duplication formula. The second chapter introduces the hypergeometric function, exploring several of its properties. In the third chapter, the developed theory is applied to calculate binomial sums and special series. | es_CO |
| dc.format.extent | 117 | es_CO |
| dc.format.mimetype | application/pdf | es_CO |
| dc.language.iso | es | es_CO |
| dc.publisher | Sello Editorial - Unipamplona - Facultad de Ciencias Básicas - Ciencia e Innovación. | es_CO |
| dc.subject | Función Gamma. | es_CO |
| dc.subject | Fórmula de reflexión de Euler. | es_CO |
| dc.subject | Función Beta. | es_CO |
| dc.subject | Sumas binomiales. | es_CO |
| dc.subject | Distribución hipergeométrica. | es_CO |
| dc.title | Tópicos de funciones hipergeométricas | es_CO |
| dc.type | http://purl.org/coar/resource_type/c_2f33 | es_CO |
| dc.date.accepted | 2026-02-20 | - |
| dc.description.edition | Primera Edición. | es_CO |
| dc.relation.references | Burton, D. The History of Mathematics: An introduction, 6th edition, (2006) Ed.Mac Graw Hill. | es_CO |
| dc.relation.references | Varadarajan, V.S. Euler through time: a new look at old themes, (2006), Ame-rican Mathematical Society. | es_CO |
| dc.relation.references | Havil, J. Gamma: exploring Euler's constant, (2009), Princeton Univertsity Press. | es_CO |
| dc.relation.references | Dunnington, G. W. Carl Friederich Gauss: Titan of Science, (2004), The Mathematical Asociation of America. | es_CO |
| dc.relation.references | Duverney, D. An Introduction to Hypergeometric Fuctions, (2024), Birkhauser. | es_CO |
| dc.relation.references | Ismail, M. On formulas of Ramanujan and Evars, Ramanujan J, (2006). 11: 349-353. | es_CO |
| dc.relation.references | Smith, D. and Mikami, Y. History of Japanese Mathematics, Chicago, open court, (1914). | es_CO |
| dc.relation.references | Courtney, M. Infinite series with binomial coefficients, Mathematics Magazi-ne, vol 64, (1991). N°1, 53-55 | es_CO |
| dc.relation.references | Euler, L. Institutiones Calculi Integralis, opera omnia ser,. vols 11-13 (1769). | es_CO |
| dc.relation.references | Lavoie, J. Grondin, F. Rathie, A. and Arora, K. Generalizations of Dixon's theorem on the sum of a 3F2, Math. Comp. 62 (1994), 267-276. | es_CO |
| dc.relation.references | D.H Lehmer, Interesting series involving the central binomial coefficientet, Amer Math. Monthly 92(1985), 449-457. | es_CO |
| dc.relation.references | G. Andrews, R Askey, R Roy. Special Functions, Encyclopedia of mathematics and its applications, Volume 71 (Cambridge, Editorial Board, 2000). | es_CO |
| dc.relation.references | Y. L. Luke, The special functions and their approximations, Academic, New York (1969). | es_CO |
| dc.relation.references | E.D. Rainville, Special functions, Macmillan, New York, (1960). | es_CO |
| dc.relation.references | Artin, E., The Gamma Function, Holt, Rinehart and Winston, New York. (1964). | es_CO |
| dc.relation.references | Bayley, W. N. Generalizaed Hypergeometric Series, Cambridge University Press, New York. (1972). | es_CO |
| dc.relation.references | Choi.J, Rarhie. A. K, Srivastava. H.N. Some hypergeometric and other evalua-tions of (2), and alied series, Applied Mathematics and Computation 104 (1999), 101-108 | es_CO |
| dc.relation.references | Pawel J. Szab lowski, Polynomial Identities Involving Binomial Coefficients and Double and Rising Factorials via Probabilistic Interpretations, Journal of Integer Sequences, Vol. 26 (2023), | es_CO |
| dc.relation.references | Dann S., An Interesting application of Gegenbauer polinomials, https://arxiv.org/pdf/1003.5216, (2010). | es_CO |
| dc.relation.references | V. Mircea, Problema 489, Problemas y Soluciones, La Gaceta de la RSME, Vol 27.pag 329-346, (2024). | es_CO |
| dc.rights.accessrights | http://purl.org/coar/access_right/c_abf2 | es_CO |
| dc.type.coarversion | http://purl.org/coar/version/c_970fb48d4fbd8a85 | es_CO |
| Aparece en las colecciones: | Ciencia e innovación | |
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|---|---|---|---|---|
| Mendoza_López_Mendoza_2026_PI.pdf | 9,41 MB | Adobe PDF | Visualizar/Abrir |
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