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In this paper, we obtain some application of first-order differential subordination, superordination and sandwich-type results involving operator for certain normalized $p$-valent analytic functions. Further, properties of $p$-valent…

Complex Variables · Mathematics 2018-11-09 V. S. Masih , A. Ebadian , Sh. Najafzadeh

In this paper, subordination results are studied for certain subclass of p-valent meromorphic functions in the punctured unit disc having a pole of order p at the origin. The subclass under investigation is defined by using certain new…

Complex Variables · Mathematics 2017-11-28 R. M. El-Ashwah , A. H. Hassan

In this article, by making use of the linear operator introduced and studied by Srivastava and Attiya \cite{srivastava1}, suitable classes of admissible functions are investigated and the dual properties of the third-order differential…

Complex Variables · Mathematics 2018-09-21 H. M. Srivastava , A. Prajapati , P. Gochhayat

The object of the present paper is to study certain properties and characteristics of the operator $Q_{p,\beta}^{\alpha}$defined on p-valent analytic function by using technique of differential subordination.We also obtained result…

Complex Variables · Mathematics 2017-08-02 Ashok Kumar Sahoo

The main purpose of this paper is to derive some subordination and superordination results involving certain of integral operator for meromorphic univalent functions in the punctured open unit disk. Several sandwich-type results are also…

Complex Variables · Mathematics 2016-12-23 Khudair Hussain

In the present paper, we derive the third-order differential subordination and superordination results for some analytic univalent functions defined in the unit disc. These results are associated with generalized Struve functions and are…

Complex Variables · Mathematics 2018-09-19 P. Gochhayat , A. Prajapati

In this paper our aim is to present some subordination and superordination results, by using an operator, which involves the normalized form of the generalized Bessel functions of first kind. These results are obtained by investigating some…

Complex Variables · Mathematics 2016-11-26 Arpad Baricz , Erhan Deniz , Murat Caglar , Halit Orhan

Let $q_1$ and $q_2$ belong to a certain class of normalized analytic univalent functions in the open unit disk of the complex plane. Sufficient conditions are obtained for normalized analytic functions $p$ to satisfy the double…

Complex Variables · Mathematics 2011-12-30 Rosihan M. Ali , Nak Eun Cho , Oh Sang Kwon , V. Ravichandran

In this work, the subclass of the function class S of bi-univalent functions associated with the quasi-subordination is defined and studied. Also some relevant classes are recognized and connections to previus results are made.

Complex Variables · Mathematics 2025-07-04 A. Akgul

In the present paper the new multiplier transformations $\mathrm{{\mathcal{J}% }}_{p}^{\delta }(\lambda ,\mu ,l)$ $(\delta ,l\geq 0,\;\lambda \geq \mu \geq 0;\;p\in \mathrm{% }%\mathbb{N} )}$ of multivalent functions is defined. Making use…

Complex Variables · Mathematics 2015-03-05 Erhan Deniz , Halit Orhan

In the present paper, we define a new general subclass of bi-univalent functions involving a differential operator in the open unit disk U. For this purpose, we use the Faber polynomial expansions. Several connections to some of the earlier…

Complex Variables · Mathematics 2018-11-20 Ala Amourah , Mohamed Illafe

In this paper, we introduce a subclass of p-valent non-bazilavec functions of order. Some subordination relations and the inequality properties of p-valent functions are discussed. The results presented here generalize and improve some…

Complex Variables · Mathematics 2019-02-27 A. A. Amourah , A. G. Alamoush , M. Darus

In this paper we provide an abstract aproach to the study of classes of multiple summing multilinear operators between Banach spaces. The main purpose is unify the study of several known classes and results, for example multiple $(p,…

Functional Analysis · Mathematics 2018-07-11 Joilson Ribeiro , Fabrício Santos

We prove several abstract results giving general conditions under which subspaces of linear or multilinear operators on Banach spaces or Banach lattices are closed. Each of these abstract results is followed by concrete applications,…

Functional Analysis · Mathematics 2026-05-25 Geraldo Botelho , Ariel Monção

We investigate a linear operator associated with a functional equation that arises from studying some class of invariant measures under multidimensional transformations. By examining its iterates, we derive an explicit solution formula for…

Functional Analysis · Mathematics 2026-03-09 Oleksandr V. Maslyuchenko , Janusz Morawiec , Thomas Zürcher

Representations of polynomial covariant type commutation relations by pairs of linear integral operators and multiplication operators on Banach spaces $L_p$ are constructed.

Functional Analysis · Mathematics 2023-05-18 Domingos Djinja , Sergei Silvestrov , Alex Behakanira Tumwesigye

The Dominative $p$-Laplace Operator is introduced. This operator is a relative to the $p$-Laplacian, but with the distinguishing property of being sublinear. It explains the superposition principle in the $p$-Laplace Equation.

Analysis of PDEs · Mathematics 2017-05-24 Karl K. Brustad

In the present paper we introduce and studied two subclasses of multivalent functions denoted by $\mathcal{M}^{\lambda}_{p,n}(\gamma;\beta)$ and $\mathcal{N}^{\lambda}_{p,n}(\mu,\eta;\delta)$. Further, by giving specific values of the…

Complex Variables · Mathematics 2013-03-20 Pranay Goswami , Teodor Bulboacă , Sanjay Bansal

In this study, a subclass of an univalent function with negative coefficients which is defined by a new general Linear operator have been introduced. The sharp results for coefficients estimators, distortion and closure bounds, Hadamard…

Complex Variables · Mathematics 2020-05-15 Mazin Sh. Mahmoud , Abdul Rahman S. Juma , Raheam A. Mansor Al-Saphory

In this paper, we introduce a new class of subsets of bounded linear operators between Banach spaces which is p-version of the uniformly completely continuous sets. Then, we study the relationship between these sets with the equicompact…

Functional Analysis · Mathematics 2020-03-26 M. Alikhani
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