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Hankel determinants of the second order for some classes of analytic functions
(Akadémiai Kiadó’s journals, 2021)
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 ...
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 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. ...
Integer points enumerator of hypergraphic polytopes
(Mathematical Institute of the Serbian Academy of Sciences and Arts, 2021)
For a hypergraphic polytope there is a weighted quasisymmetric
function which enumerates positive integer points in its normal fan
and determines its f −polynomial. This quasisymmetric function
invariant of hypergraphs ...
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 ...
Sharp upper bounds for initial coefficients and second Hankel determinants
(Korean Mathematical Society, 2020)
Modeling Indoor Particulate Matter and Small Ion Concentration Relationship-A Comparison of a Balance Equation Approach and Data Driven Approach
(MDPI, 2020)
In this work we explore the relationship between particulate matter (PM) and small ion (SI) concentration in a typical indoor elementary school environment. A range of important air quality parameters (radon, PM, SI, ...
On the initial coefficients for certain class of functions analytic in the unit disc
(Rocky Mountain Mathematics Consortium, 2020)