Journal of Function Spaces

Developments in Functions and Operators of Complex Variables


Publishing date
01 May 2022
Status
Closed
Submission deadline
24 Dec 2021

1COMSATS University Islamabad, Islamabad, Pakistan

2Bursa Uludağ University, Bursa, Turkey

3Government College University, Faisalabad, Pakistan

4Abbottabad University of Science and Technology, Abbottabad, Pakistan

This issue is now closed for submissions.
More articles will be published in the near future.

Developments in Functions and Operators of Complex Variables

This issue is now closed for submissions.
More articles will be published in the near future.

Description

The study of complex-valued functions in general, and analytic functions in particular, is one of the most researched of the classical fields. Analysis of the geometric characteristics of these functions is a core area of research in this field, however, a paradigm shift in this research is the application of operators, both differential and integral. The impact of any such operator on the geometry of analytic functions is remarkable and of great interest. A huge amount of research is published on the study of operators of both real and complex variables, and it is increasing with every passing year.

The study of operators in complex variables first drew the attention of researchers when Stephan Ruscheweyh introduced a differential operator in 1975. Even today, this operator is one of the most studied and cited, and since its introduction, many versions in the frameworks of different analogues in addition to generalizations have also been introduced and studied in detail. Thus began the new era of functional analysis in complex variables. Operator theory is incomplete without the involvement of integral operators, and as in the differential category, Ruscheweyh gave a breakthrough by defining an operator, whereas R. J. Libera had introduced an integral operator in 1965 that remained the center of research activity until it was generalized by S. D. Bernardi in 1969. This development attracted the attention of numerous researchers, as a result of which several integral operators have been introduced and studied for many kinds of complex valued functions. In the same stream of innovative research, the use of complex versions of many special functions, such as Bessel functions, hyper-geometric functions, Struve functions, Mittag-Leffler functions, and Wright functions, in the formation of integral operators has made them more viable and applicable to the theory of functional analysis.

The aim of this Special Issue is to present recent developments in the theory of functions and operators of complex variables. Original research extendable for future investigation, as well as review articles, are both welcome.

Potential topics include but are not limited to the following:

  • Functions of complex variables
  • Differential operators
  • Integral operators
  • Fractional derivative operators
  • Q-derivative operators
  • Q-analogues of differential operators
  • Q-analogues of integral operators
  • Differential equations in complex variables

Articles

  • Special Issue
  • - Volume 2022
  • - Article ID 7326760
  • - Research Article

The Extended Laguerre Polynomials Involving

Adnan Khan | Muhammad Kalim | ... | Fahd Jarad
  • Special Issue
  • - Volume 2022
  • - Article ID 3763450
  • - Research Article

Infinite Product Representation for the Szegö Kernel for an Annulus

Nuraddeen S. Gafai | Ali H. M. Murid | Nur H. A. A. Wahid
  • Special Issue
  • - Volume 2022
  • - Article ID 6320243
  • - Research Article

Mobius Group Generated by Two Elements of Order 2, 4, and Reduced Quadratic Irrational Numbers

Dilshad Alghazzawi | M. Haris Mateen | ... | Mohammed S. Abdo
  • Special Issue
  • - Volume 2022
  • - Article ID 7572918
  • - Research Article

Novel Algorithms for Solving a System of Absolute Value Variational Inequalities

Safeera Batool | Muhammad Aslam Noor | ... | Mulugeta Andualem
  • Special Issue
  • - Volume 2022
  • - Article ID 4056201
  • - Research Article

The Strong Convex Functions and Related Inequalities

Xue Wang | Absar ul Haq | ... | Sami Ullah Zakir
  • Special Issue
  • - Volume 2022
  • - Article ID 8796837
  • - Research Article

New Subclass of Analytic Function Involving -Mittag-Leffler Function in Conic Domains

Saima Noor | Asima Razzaque
  • Special Issue
  • - Volume 2022
  • - Article ID 4085296
  • - Research Article

On the Janowski Starlikeness of the Coulomb Wave Functions

Saddaf Noreen | Mohsan Raza | ... | Sarfraz Nawaz Malik
  • Special Issue
  • - Volume 2022
  • - Article ID 2890981
  • - Research Article

Fractional Minkowski-Type Integral Inequalities via the Unified Generalized Fractional Integral Operator

Tingmei Gao | Ghulam Farid | ... | Kamsing Nonlaopon
  • Special Issue
  • - Volume 2022
  • - Article ID 9167716
  • - Research Article

On Fixed-Point Results of Generalized Contractions

Shazia Kanwal | Umair Hanif | ... | Md. Ashraful Alam
  • Special Issue
  • - Volume 2022
  • - Article ID 9575121
  • - Research Article

Kannan Nonexpansive Mappings on Variable Exponent Function Space of Complex Variables with Some Applications

Elsayed A. E. Mohamed | Awad A. Bakery
Journal of Function Spaces
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Article of the Year Award: Outstanding research contributions of 2021, as selected by our Chief Editors. Read the winning articles.