Abstract In this paper we define and consider some familiar subsets of analytic functions associated with sine in the region unit disk on complex plane. For these classes our aim is to find Hankel determinant order three.

In this paper, we introduce and investigate two new subclasses of Ma-Minda bi-univalent functions defined by using subordination in the open unit disk . For belonging to these subclasses, obtain estimates for initial coefficients The results presented paper would generalize those related works several earlier authors. MSC:30C45, 30C80.

In this paper, we introduce several new subclasses of the class m -fold symmetric bi-univalent functions and obtain estimates Taylor-Maclaurin coefficients |a m+1 | , 2m+1 Fekete-Szegö functional problems for in these subclasses.The results presented paper improve earlier Ali et al. [1], Frasin Aouf [6], Srivastava [14] terms bounds as well ranges parameter under consideration.Our also further generalize Peng [19].

There are many articles in the literature dealing with first-order and second-order differential subordination superordination problems for analytic functions unit disk, but only a few above third-order case (see, e.g., Antonino Miller (2011) Ponnusamy et al. (1992)). The concept of disk was introduced by (2011). Let Ω be set complex plane<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi mathvariant="double-struck">C</mml:mi></mml:mrow></mml:math>. Also...

This paper introduces a new integral operator in q-analog for multivalent functions. Using as an application of this operator, we study novel class functions and define them. Furthermore, present many properties these These include distortion bounds, sufficiency criteria, extreme points, radius both starlikness convexity, weighted mean partial sum newly defined subclass are discussed. Various operators obtained by putting particular values to the parameters used operator.

In this article, a new subclass of starlike functions is defined by using the technique subordination and introducing novel generalized domain. This domain obtained taking composition trigonometric sine function well known curve called lemniscate Bernoulli which image open unit disc under gξ=1+ξ. characterized its pleasing geometry exhibits symmetric about real axis. For newly subclass, we investigate sharp upper bounds for first four coefficients, as second third order Hankel determinants.

<abstract> In this paper our aim is to study some valuable problems dealing with newly defined subclass of multivalent $ q $-starlike functions. These include the initial coefficient estimates, Toeplitz matrices, Hankel determinant, Fekete-Szego problem, upper bounds functional \left \vert a_{p+1}-\mu a_{p+1}^{2}\right for As applications we a $-Bernardi integral operator Furthermore, also highlight known consequence main results. </abstract>

In this article, we study differential subordnations in q-analogue. Some properties of analytic functions q-analogue associated with cardioid domain and limacon are considered. particular, determine conditions on α such that 1 + z ∂ q h n ( = 0 , 2 3 ) subordinated by Janowski ≺ 4 . We also consider the same implications apply these results to find sufficient for q-starlikeness related limacon.

Let S s * be the class of normalized functions f defined in open unit disk D = { z : | &lt; 1 } such that quantity ′ ( ) lies an eight-shaped region right-half plane and satisfying condition ≺ + sin ∈ . In this paper, we aim to investigate third-order Hankel determinant H 3 Toeplitz T 2 for function associated with sine obtain upper bounds determinants

In this paper, the concepts of quantum (or <i>q</i>-) calculus and conic regions are combined to define a new domain Ω_{<i>k, q, γ</i>} which represents generalized regions. Then by using certain we investigate subclass normalized analytic functions in open unit disk <i>E</i>. We also number useful properties characteristics such as, structural formula, necessary sufficient condition, coefficient estimates, Feketo-Szego problem, distortion inequalities, closure theorem, subordination...

Let S l * denote the class of analytic functions f in open unit disk D = { z : | &lt; 1 } normalized by ( 0 ) ′ − , which is subordinate to exponential function, ≺ e ∈ . In this paper, we aim investigate third-order Hankel determinant H 3 for function associated with and obtain upper bound Meanwhile, give two examples illustrate results obtained.

In this paper, upper bounds for the fourth-order Hankel determinant <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"> <a:msub> <a:mrow> <a:mi>H</a:mi> </a:mrow> <a:mn>4</a:mn> </a:msub> <a:mfenced open="(" close=")"> <a:mn>1</a:mn> </a:mfenced> </a:math> function class <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" id="M2"> <e:msubsup> <e:mrow> <e:mi mathvariant="script">S</e:mi> </e:mrow> <e:mi>s</e:mi> <e:mo>∗</e:mo> </e:msubsup> </e:math> associated with sine are given.

In the present paper, we introduce new subclasses of certain meromorphic multivalent functions defined by a class linear operators involving Liu-Srivastava operator, and investigate majorization properties for belonging to these classes. Also, point out some useful consequences our main results.

Oil recovery is an essential parameter for reservoir development performance evaluation, but there no specific research on the theoretical oil prediction model of polymer microspheres (PMs)' conformance control. This aims to establish that depends definition based stream tube theory. PMs' enhanced mechanism plug pore throat expand swept area. The assumption between injection and production wells trapezoidal proposed. Based this premise, area sweep efficiency equation suitable rhombus inverse...

In this article, we use the q-derivative operator and principle of subordination to define a new subclass analytic functions related q-Ruscheweyh operator. Sufficient conditions, sharp bounds for initial coefficients, Fekete–Szegö functional Toeplitz determinant are investigated class functions. Additionally, also present several established consequences derived from our primary findings.

In the present paper, we investigate majorization properties for certain classes of multivalent analytic functions defined by Salagean operator. Moreover, point out some new and interesting consequences our main result. MSC:30C45.

In this paper, we introduce two new classes $\mathcal{B}_{\Sigma}^\lambda(m, \mu)$ of $\lambda$-pseudo bi-starlike functions and $\mathcal{L}_{\Sigma}^\eta(m, \beta)$ to determine the bounds for $|a_2|$ $|a_3|, $ where $a_2$, $a_3$ are initial Taylor coefficients $f\in\mathcal{B}_{\Sigma}^\lambda(m, $f\in\mathcal{L}_{\Sigma}^\eta(m, \beta).$ Also, attain upper Fekete-Szegö inequality by means results $|a_3|$.

&lt;abstract&gt;&lt;p&gt;In this present investigation, the authors obtain Fekete-Szegö inequality for certain normalized analytic function $ f(\zeta) defined on open unit disk which&lt;/p&gt; &lt;p&gt;&lt;disp-formula&gt; &lt;label/&gt; &lt;tex-math id="FE1"&gt; \begin{document}$ (f'(\zeta)^{\vartheta}\left( \frac{\zeta f'(\zeta )}{f(\zeta )}\right)^{1-\vartheta} \prec 1+\sin \zeta ; \qquad (0\leq \vartheta \leq 1) $\end{document} &lt;/tex-math&gt;&lt;/disp-formula&gt;&lt;/p&gt;...

In this article, the authors use Faber polynomial expansions to find general coefficient estimates for a few new subclasses of bi-univalent functions with bounded boundary rotation and radius rotation. Some results improve existing bounds in literature.

&lt;p&gt;Inequalities are essential in solving mathematical problems many different areas of mathematics. Among these, involving coefficient combinations that occurred the Taylor–Maclaurin series inverse complex-valued analytic functions challenging ones to solve. In current article, our aim is study certain coefficient-related construct from coefficients specific functions. These include Zalcman and Fekete–Szegö inequalities, as well sharp estimates second third-order Hankel determinants...

In the present paper, we investigate majorization properties for class Mβα(p,γ) of uniformly starlike functions and Nβα(p,θ) spiral-like related to an exponential function, which are defined through Liu-Owa integral operator Qβ,pα given by (1.5). Also, some special cases our main results in a form corollaries shown.

AbstractLet Ap denote the class of analytic and p-valent functions in open unit disc U={z:|z|<1}. Put define terms Hadmard product (or convolution) In this paper, we introduce certain new subclasses spiral-like multivalent defined by using operator investigate several inclusion properties these classes. Also, some applications involving integral are considered.Keywords: functionsspiral-like functionsHadmard productsubordinationfractional differintegral operator2000 Mathematics Subject...