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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
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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.
Address
Corporate Author Thesis
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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