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.

Developments in Functions and Operators of Complex Variables

This issue is now closed for submissions.

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 2021
  • - Article ID 6708137
  • - Research Article

A New Parametric Differential Operator of p-Valently Analytic Functions

Samir B. Hadid | Rabha W. Ibrahim | G. Murugusundaramoorthy
  • Special Issue
  • - Volume 2021
  • - Article ID 3526217
  • - Research Article

The Spectrum of Mapping Ideals of Type Variable Exponent Function Space of Complex Variables with Some Applications

Awad A. Bakery | Mustafa M. Mohammed
  • Special Issue
  • - Volume 2021
  • - Article ID 8475863
  • - Research Article

Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers

Naveed Khan | Naveed Yaqoob | ... | Muhammad Riaz
  • Special Issue
  • - Volume 2021
  • - Article ID 5232247
  • - Research Article

Faber Polynomial Coefficient Bounds for -Fold Symmetric Analytic and Bi-univalent Functions Involving -Calculus

Zeya Jia | Shahid Khan | ... | Muhammad Asif
  • Special Issue
  • - Volume 2021
  • - Article ID 5253346
  • - Research Article

On the Algebraic Characteristics of Fuzzy Sub e-Groups

Supriya Bhunia | Ganesh Ghorai | ... | Md Ashraful Alam
  • Special Issue
  • - Volume 2021
  • - Article ID 4395574
  • - Research Article

Coefficient Bounds of Kamali-Type Starlike Functions Related with a Limacon-Shaped Domain

Gangadharan Murugusundaramoorthy | Ayesha Shakeel | Marwan Amin Kutbi
  • Special Issue
  • - Volume 2021
  • - Article ID 9705250
  • - Research Article

Commutators of the Fractional Hardy Operator on Weighted Variable Herz-Morrey Spaces

Amjad Hussain | Muhammad Asim | ... | Fahd Jarad
  • Special Issue
  • - Volume 2021
  • - Article ID 2161521
  • - Research Article

Inequalities on Generalized Sasakian Space Forms

Najma Abdul Rehman | Abdul Ghaffar | ... | Mohammed K. A. Kaabar
  • Special Issue
  • - Volume 2021
  • - Article ID 6270711
  • - Research Article

A New Class of Analytic Normalized Functions Structured by a Fractional Differential Operator

Najla M. Alarifi | Rabha W. Ibrahim
  • Special Issue
  • - Volume 2021
  • - Article ID 6369129
  • - Research Article

Numerical Scheme for Finding Roots of Interval-Valued Fuzzy Nonlinear Equation with Application in Optimization

Ahmed Elmoasry | Mudassir Shams | ... | Naila Rafiq
Journal of Function Spaces
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Acceptance rate12%
Submission to final decision115 days
Acceptance to publication20 days
CiteScore2.600
Journal Citation Indicator1.430
Impact Factor1.9
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