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Bicategories in Univalent Foundations [PDF]

open access: yesMathematical Structures in Computer Science, 2019
We develop bicategory theory in univalent foundations. Guided by the notion of univalence for (1-)categories studied by Ahrens, Kapulkin, and Shulman, we define and study univalent bicategories.
B. Ahrens   +3 more
semanticscholar   +12 more sources

Univalence for convolutions [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
The radius of univalence is found for the convolution f∗g of functions f∈S (normalized univalent functions) and g∈C (close-to-convex functions). A lower bound for the radius of univalence is also determined when f and g range over all of S.
Herb Silverman
doaj   +4 more sources

Univalent functions with univalent Gelfond-Leontev derivatives [PDF]

open access: yesRendiconti di Matematica e delle Sue Applicazioni, 1993
We investigate functions of the form f(z) = z/(1 + 5 0 0 Sne Onz")=2 + E n s O n e " that are analytic in the unitary circle U. Necessary and sufficient conditions in terms of {n}for a trinomial f and the bounds of br, 1 § n 5 4 for a particular form
V. SRINIVAS
doaj   +2 more sources

Univalent majorants [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1947
Raphael M. Robinson
openalex   +3 more sources

Univalent functions with univalent derivatives. II [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1969
S. M. Shah, S. Y. Trimble
openalex   +5 more sources

Univalency of Certain Transform of Univalent Functions

open access: yesProceedings of the Bulgarian Academy of Sciences, 2023
We consider univalency problem in the unit disc $$\mathbb{D}$$ of the function \[g(z)=\frac{(z/f(z))-1}{-a_{2}}, \] where $$f$$ belongs to some classes of univalent functions in $$\mathbb{D}$$ and $$a_{2}=\frac{f''(0)}{2}\neq 0$$.
Obradović, Milutin, Tuneski, Nikola
openaire   +3 more sources

Univalent completion [PDF]

open access: yesMathematische Annalen, 2017
We review the concept of a univalent fibration and show by elementary means that every Kan fibration in simplicial sets can be embedded in a univalent Kan fibration.
van den Berg, B., Moerdijk, I.
openaire   +5 more sources

Applications of the q-Srivastava-Attiya Operator Involving a Certain Family of Bi-Univalent Functions Associated with the Horadam Polynomials

open access: yesSymmetry, 2021
In this article, by making use of the q-Srivastava-Attiya operator, we introduce and investigate a new family SWΣ(δ,γ,λ,s,t,q,r) of normalized holomorphic and bi-univalent functions in the open unit disk U, which are associated with the Bazilevič ...
H. Srivastava, A. Wanas, R. Srivastava
semanticscholar   +1 more source

Applications of a certain $q$-integral operator to the subclasses of analytic and bi-univalent functions

open access: yesAIMS Mathematics, 2021
In the present investigation, our aim is to define a generalized subclass of analytic and bi-univalent functions associated with a certain $q$-integral operator in the open unit disk $\mathbb{U}$.
B. Khan   +5 more
semanticscholar   +1 more source

The Marriage of Univalence and Parametricity [PDF]

open access: yesJournal of the ACM, 2021
Reasoning modulo equivalences is natural for everyone, including mathematicians. Unfortunately, in proof assistants based on type theory, which are frequently used to mechanize mathematical results and carry out program verification efforts, equality is appallingly syntactic, and as a result, exploiting equivalences is cumbersome at best ...
Tabareau, Nicolas   +2 more
openaire   +6 more sources

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