Results 11 to 20 of about 13,123 (205)
Bicategories in univalent foundations [PDF]
Mathematical Structures in Computer Science, 2021 AbstractWe 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. To construct examples of univalent bicategories in a modular fashion, we develop displayed bicategories, an analog of displayed 1-categories introduced
Benedikt Ahrens +4 more
openaire +14 more sources
Annals of Pure and Applied Logic, 2020 Corrected typos, updated references and added a section on Church's ...
van den Berg, B.
openaire +6 more sources
NEIGHBOURHOODS OF UNIVALENT FUNCTIONS [PDF]
Bulletin of the Australian Mathematical Society, 2010 AbstractThe main result shows that a small perturbation of a univalent function is again a univalent function, hence a univalent function has a neighbourhood consisting entirely of univalent functions. For the particular choice of a linear function in the hypothesis of the main theorem, we obtain a corollary which is equivalent to the classical Noshiro–
Pascu, Mihai N., Pascu, Nicolae R.
openaire +3 more sources
Remark on functions with all derivatives univalent
International Journal of Mathematics and Mathematical Sciences, 1980 An attractive conjecture is discounted for the class of normalized univalent functions whose derivatives are also univalent.
M. Lachance
doaj +2 more sources
Some univalent compositions of polynomials with univalent functions [PDF]
Annales Polonici Mathematici, 1980 . Let S denote the family of functions f, holomorphic and univalent in the open unit disk U, and normalized by f(0) = 0, f'(0 ...
Waadeland, Haakon
openaire +3 more sources
Univalency of Certain Transform of Univalent Functions
Proceedings 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 Monoidal Categories [PDF]
, 2023 International audienceUnivalent categories constitute a well-behaved and useful notion of category in univalent foundations. The notion of univalence has subsequently been generalized to bicategories and other structures in (higher) category theory. Here,
Ahrens, B.P. (author) +5 more
core +1 more source
Univalence Criteria for Locally Univalent Analytic Functions
Ukrainian Mathematical Journal, 2023 UDC 517.5 Suppose that p ( z ) = 1 + z ϕ ' ' ( z ) / ϕ ' ( z ) , where ϕ ( z ) is a locally univalent analytic function in the unit disk D with ϕ ( 0 ) = ϕ ' ( 1 ) - 1 = 0. We establish the lower and upper bounds for the best constants σ 0
Hu, Zhenyong +2 more
openaire +1 more source
Initial coefficients for generalized subclasses of bi-univalent functions defined with subordination [PDF]
, 2022 summary:This paper is concerned with certain generalized subclasses of bi-univalent functions defined with subordination in the open unit disc $E=\left\rbrace z:\mid z \mid
Singh, Gurmeet +2 more
core +1 more source
The Univalence of an Integral [PDF]
Proceedings of the American Mathematical Society, 1971 Let f ( z ) f(z)
openaire +1 more source