<abstract xmlns="http://www.w3.org/1999/xhtml">By applying the q-derivative operator of order m (m ∈ ℕ0), we introduce two new subclasses of p-valently analytic functions of complex order. For these classes of functions, we obtain the coefficient inequalities and distortion properties. Some consequences of the main results are also considered</abstract>

Some classes of analytic and multivalent functions associated with q-derivative operators

<abstract xmlns="http://www.w3.org/1999/xhtml">The thermosolutal instability of Rivlin-Ericksen elasticoviscous rotating fluid permeated with suspended particles (fine dust) and variable gravity field in porous medium in hydromagnetics is considered. By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. It is observed that the rotation, magnetic field, gravity field, suspended particles and viscoelasticity introduce oscillatory modes. For stationary convection, the rotation and stable solute gradient has stabilizing effects and suspended particles are found to have destabilizing effect on the system whereas the medium permeability has stabilizing or destabilizing effect on the system under certain conditions. The magnetic field has destabilizing effect in the absence of rotation whereas in the presence of rotation, magnetic field has stabilizing or destabilizing effect under certain conditions. The effect of rotation, suspended particles, magnetic field, stable solute gradient and medium permeability has also been shown graphically.</abstract>

Hydromagnetic thermosolutal instability of Rivlin-Ericksen rotating fluid permeated with suspended particles and variable gravity field in porous medium

<abstract xmlns="http://www.w3.org/1999/xhtml">By using the principle of differential subordination, we introduce subclass of p-valent meromorphic functions involving convolution and investigate various properties for this subclass. We also indicate relevant connections of the various results presented in this paper with those obtained in earlier works.</abstract>

Some applications of differential subordination to certain subclass of p-valent meromorphic functions involving convolution

<abstract xmlns="http://www.w3.org/1999/xhtml"> Let k be a finite field and consider the finite dimensional path algebra kQ, where Q is a quiver of tame type i.e. of type Ãn, D̃n,Ẽ6,Ẽ7,Ẽ8. Let H(kQ) be the corresponding Ringel-Hall algebra. We are going to determine the Ringel-Hall numbers of the form FP`XP with P, P` preprojective indecomposables of defect -1 and FI`IX with I, I` preinjective indecomposables of defect 1. It turns out that these numbers are either 1 or 0. </abstract>

On some Ringel-Hall numbers in tame cases

<abstract xmlns="http://www.w3.org/1999/xhtml">Motivated by a recent paper of U. Höhle and T. Kubiak on regular sup-preserving maps, we investigate a particular Galois-type connection between relations on one set X to another Y and functions on the power set P(X) to P(Y ) . Since relations can largely be identified with union-preserving set functions, the results obtained can be used to provide some natural generalizations of most of the former results on relations and relators (families of relations). The results on inverses seem to be the only exceptions.</abstract>

A particular Galois connection between relations and set functions

<abstract xmlns="http://www.w3.org/1999/xhtml">We explore the combinatorial properties of a particular type of extension monoid product of preinjective Kronecker modules. The considered extension monoid product plays an important role in matrix completion problems. We state theorems which characterize this product in both implicit and explicit ways and we prove that the conditions given in the definition of the generalized majorization are equivalent with our criteria. Generalized majorization is a purely combinatorial construction introduced by its authors in a different setting.</abstract>

On the combinatorics of extensions of preinjective Kronecker modules

<abstract xmlns="http://www.w3.org/1999/xhtml"> Let Φ be an analytic self-map of the open unit disk D in the complex plane. Such a map induces through composition a linear composition operator CΦ : f ↦ f◦Φ.We are interested in the combination of CΦ with the differentiation operator D, that is in the operator DCΦ : f ↦ Φ` · (f ◦ Φ) acting between weighted Bergman spaces and weighted Banach spaces of holomorphic functions </abstract>

Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions

AHEAD OF PRINT

Volume 15 (2023): Issue 2 (December 2023)

Volume 15 (2023): Issue 1 (November 2023)

Volume 14 (2022): Issue 2 (December 2022)

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Volume 13 (2021): Issue 2 (December 2021)

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Volume 7 (2015): Issue 2 (December 2015)

Volume 7 (2015): Issue 1 (October 2015)

Volume 6 (2014): Issue 1 (October 2014)

Volume 5 (2013): Issue 2 (December 2013)

Volume 5 (2013): Issue 1 (February 2013)

Acta Universitatis Sapientiae, Mathematica

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