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Hankel determinant for a general subclass of m-fold symmetric biunivalent functions defined by Ruscheweyh operators
Making use of the Hankel determinant and the Ruscheweyh derivative, in this work, we consider a general subclass of m -fold symmetric normalized...
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Free fermion six vertex model: symmetric functions and random domino tilings
Our work deals with symmetric rational functions and probabilistic models based on the fully inhomogeneous six vertex (ice type) model satisfying the...
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Quantum N-toroidal Algebras and Extended Quantized GIM Algebras of N-fold Affinization
We introduce the notion of quantum N -toroidal algebras as natural generalization of the quantum toroidal algebras as well as extended quantized GIM...
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Substitution Discrete Plane Tilings with 2n-Fold Rotational Symmetry for Odd n
We study substitution tilings that are also discrete plane tilings, that is, satisfy a relaxed version of cut-and-projection. We prove that the Sub...
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The study of coefficient estimates and Fekete–Szegö inequalities for the new classes of m-fold symmetric bi-univalent functions defined using an operator
The objective of this paper is to introduce new classes of m-fold symmetric bi-univalent functions. We discuss estimates on the Taylor–Maclaurin...
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Some Results on a Starlike Class with Respect to (j, m)-Symmetric Functions
In the present article, the class \(S_s^{*(j,m)}(\mu ,\eta )\)...
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Magic squares, the symmetric group and Möbius randomness
Diaconis and Gamburd computed moments of secular coefficients in the CUE ensemble. We use the characteristic map to give a new combinatorial proof of...
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Some m-fold symmetric bi-univalent function classes and their associated Taylor-Maclaurin coefficient bounds
The Ruscheweyh derivative operator is used in this paper to introduce and investigate interesting general subclasses of the function class
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The Low-Rank Approximation of Fourth-Order Partial-Symmetric and Conjugate Partial-Symmetric Tensor
We present an orthogonal matrix outer product decomposition for the fourth-order conjugate partial-symmetric (CPS) tensor and show that the greedy...
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On Calculation of Constants in the Arak Inequalities for Concentration Functions of Convolutions of Probability Distributions
The aim of the present work is evaluation of absolute constants in the Arak inequalities for the concentration functions of convolutions of...
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Spectral properties of the Neumann–Poincaré operator on rotationally symmetric domains
This paper concerns the spectral properties of the Neumann–Poincaré operator on two- and three-dimensional bounded domains which are invariant under...
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Sharp systolic inequalities for rotationally symmetric 2-orbifolds
We show that suitably defined systolic ratios are globally bounded from above on the space of rotationally symmetric spindle orbifolds and that the...
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Calculation of Constants in Lemma on the Functions W(X) and G(T) in the Method of Smooth Triangular Functions
A method of smooth triangular functions is considered. For one of the key lemmas of this method, all constants appearing in the formulation are...
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Hankel determinants of order four for a set of functions with bounded turning of order α
We investigate the bounds of Hankel determinants H 4 , 1 ( f ), H 4 , 2 ( f ), H 4 , 3 ( f ) for the set of functions with bounded turning of order alpha. We also...