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Weighted quasisymmetric enumerator for generalized permutohedra
(Springer, 2020)
We introduce a weighted quasisymmetric enumerator function associated to generalized permutohedra. It refines the Billera, Jia and Reiner quasisymmetric function which also includes the Stanley chromatic symmetric function. ...
Sharp bounds of the third Hankel determinant for classes of univalent functions with bounded turning
(Akademie věd České republiky, Matematický ústav, 2022)
We improve the bounds of the third order Hankel determinant for two classes
of univalent functions with bounded turning.
Visualizing properties of a quadratic function using Torricelli’S fountain
(American Association of Physics Teachers, 2020)
In the same chapter of his book Opera geometrica, Torricelli published1 two discoveries: 1) initial velocity of a jet from a container increases with the square root of the depth of the hole¸ 2) he draw the pattern of ...
Improved upper bound of third order Hankel determinant for Ozaki close-to-convex functions
(Element d.o.o., 2022)
In this paper we improve the upper bound of the third order Hankel determinant for
the class of Ozaki close-to-convex functions. The sharp bound is conjectured.
Intuitionistic Propositional Probability Logic
(Mathematical Logic Quarterly, 2022)
We give sound and complete axiomatization of a probabilistic extension of intuitionistic logic. Reasoning with probability operators, unlike other works on this topic, is also intuitionistic, that is, measure functions ...
On the Generalized Strongly Nil - Clean Property of the Matrix Rings
(World Scientific Publishing Company, 2021)
Let R be an associative unital ring and not necessarily commutative. We
analyzes conditions under which every n×n matrix A over R is expressible as a sum
A = E1 + ... +Es +N of (commuting) idempotent matrices Ei and a ...
Weighted P-partitions enumerator
(Applicable Analysis and Discrete Mathematics, 2021)
To an extended generalized permutohedron we associate the weighted integer points enumerator, whose principal specialization is the f-polynomial. In the case of poset cones it refines Gessel's P-partitions enumerator. We ...
Circle in Space—Space in Circle: A Study of Ratio between Open Space and Built-Up Area in Historical Circular Objects
(MDPI, 2021)
Many cities nowadays explore different circular designs as new sustainable city concepts in different urban aspects. The new trend, as part of the adaptation for climate change, is a strategy of increasing the number of ...
Hermitian Toeplicz determinants fr the class S of univalent functions
(National Academy of Sciences of the Republic of Armenia, 2021)
Introducing a new method, we give sharp estimates
of the Hermitian Toeplitz determinants of third order for the
class S of functions univalent in the unit disc. The new approach
is also illustrated on some subclasses ...
Zalcman and generalized Zalcman conjecture for the class U
(Prirodno-matematički fakultet - Departman za matematiku i informatiku, Novi Sad, 2022)