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Author  |
Efraimidis, I.; Gaona, J.; Hernandez, R.; Venegas, O. | ||||
| Title | On harmonic Bloch-type mappings | Type | |||
| Year | 2017 | Publication | Complex Variables And Elliptic Equations | Abbreviated Journal | Complex Var. Elliptic Equ. |
| Volume | 62 | Issue | 8 | Pages | 1081-1092 |
| Keywords | Bloch functions; harmonic functions; Jacobian; univalent functions; schlicht radius; growth estimates; coefficient estimates; 30C25; 30C50; 30D45; 30H30 | ||||
| Abstract | Let f be a complex-valued harmonicmapping defined in the unit disk D. We introduce the following notion: we say that f is a Bloch-type function if its Jacobian satisfies This gives rise to a new class of functions which generalizes and contains the well-known analytic Bloch space. We give estimates for the schlicht radius, the growth and the coefficients of functions in this class. We establish an analogue of the theorem which, roughly speaking, states that for. analytic log. is Bloch if and only if. is univalent. | ||||
| Address | [Efraimidis, I.] Univ Autonoma Madrid, Dept Matemat, Madrid, Spain, Email: iason.efraimidis@uam.es | ||||
| Corporate Author | Thesis | ||||
| Publisher | Taylor & Francis Ltd | Place of Publication | Editor | ||
| Language | English | Summary Language | Original Title | ||
| Series Editor | Series Title | Abbreviated Series Title | |||
| Series Volume | Series Issue | Edition | |||
| ISSN | 1747-6933 | ISBN | Medium | ||
| Area | Expedition | Conference | |||
| Notes | WOS:000399938900004 | Approved | |||
| Call Number | UAI @ eduardo.moreno @ | Serial | 729 | ||
| Permanent link to this record | |||||
| Author |
Gaona, J.; Hernández, R.; Guevara, F.; Bravo, V. | ||||
| Title | Influence of a Function’s Coefficients and Feedback of the Mathematical Work When Reading a Graph in an Online Assessment System | Type | |||
| Year | 2022 | Publication | International Journal of Emerging Technologies in Learning | Abbreviated Journal | Int. J. Emerg. Technol. Learn. |
| Volume | 17 | Issue | 20 | Pages | 77-98 |
| Keywords | digital technology; distance education and online learning; mathematical activity; post-secondary education; task design | ||||
| Abstract | This paper shows the results of an experiment applied to 170 students from two Chilean universities who solve a task about reading a graph of an affine function in an online assessment environment where the parameters (coefficients of the graphed affine function) are randomly defined from an ad-hoc algorithm, with automatic correction and automatic feedback. We distinguish two versions: one of them with integer coefficients and the other one with decimal coefficients in the affine function. We observed that the nature of the coefficients impacts the mathematical work used by the students, where we again focus on two of them: by direct estimation from the graph or by calculating the equation of the line. On the other hand, feedback oriented towards the “estimation” strategy influences the mathematical work used by the students, even though a non-negligible group persists in the “calculating” strategy, which is partly explained by the perception of each of the strategies. |
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| Publisher | Place of Publication | Editor | |||
| Language | Summary Language | Original Title | |||
| Series Editor | Series Title | Abbreviated Series Title | |||
| Series Volume | Series Issue | Edition | |||
| ISSN | 1863-0383 | ISBN | Medium | ||
| Area | Expedition | Conference | |||
| Notes | Approved | ||||
| Call Number | UAI @ alexi.delcanto @ | Serial | 1654 | ||
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