Leaderboards/Mathematical functions and polynomials

Mathematical functions and polynomials

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
J. Klappert
RWTH Aachen University
2
Muhammad Imran Liaqat
Government College University, Lahore
3
Hui Fu
Harbin Institute of Technology
4
Saleh Alshammari
University of Ha'il
5
Mohammad Abu-Ghuwaleh
Zarqa University
6
Meryem Meddahi
Hassiba Benbouali University of Chlef
7
Osama Alabdali
University of Anbar
8
Arzu Ahmadova
Eastern Mediterranean University
9
M.A. Attar
Babol Noshirvani University of Technology
10
Bogumiła Kowalczyk
University of Warmia and Mazury in Olsztyn

Rising Stars Papers

1
Multistability, Chaos, and Synchronization in Novel Symmetric Difference Equation
Symmetry|2024
23 cit.
2
Analysis of solitary wave solutions in the fractional-order Kundu–Eckhaus system
Scientific Reports|2024
18 cit.
3
Analysis of stochastic delay differential equations in the framework of conformable fractional derivatives
AIMS Mathematics|2024
10 cit.
4
Qualitative Analysis for the Solutions of Fractional Stochastic Differential Equations
Axioms|2024
9 cit.
5
Picard Approximation of a Singular Backward Stochastic Nonlinear Volterra Integral Equation
Qualitative Theory of Dynamical Systems|2024
7 cit.
6
Adaptive sliding mode control for uncertain general fractional chaotic systems based on general Lyapunov stability
Chinese Journal of Physics|2024
5 cit.
7
Robust sliding mode control of discrete fractional difference chaotic system
Nonlinear Dynamics|2024
5 cit.
8
A Hybrid Approach to Approximate and Exact Solutions for Linear and Nonlinear Fractional-Order Schrödinger Equations with Conformable Fractional Derivatives
Electronic Journal of Applied Mathematics|2024
5 cit.
9
Theoretical Results on the pth Moment of ϕ-Hilfer Stochastic Fractional Differential Equations with a Pantograph Term
Fractal and Fractional|2025
4 cit.
10
Revised and Generalized Results of Averaging Principles for the Fractional Case
Axioms|2024
3 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Arran Fernandez
Eastern Mediterranean University
2
Johann Usovitsch
Humboldt-Universität zu Berlin
3
Nasrin Samadyar
Kermanshah University of Technology
4
Pshtiwan Othman Mohammed
UniNettuno University
5
Artion Kashuri
Polytechnic University of Tirana
6
Udita N. Katugampola
Southern Illinois University Carbondale
7
Eze R. Nwaeze
Alabama State University
8
Péter Kórus
University of Szeged
9
Hijaz Ahmad
Korea University
10
Fang-Fang Liu
Chang'an University

Emerging Leaders Papers

1
Conservative Black Hole Scattering at Fifth Post-Minkowskian and First Self-Force Order
Physical Review Letters|2024
89 cit.
2
MHD nanofluid flow and heat transfer caused by a stretching sheet that is heated convectively: An approximate solution using ADM
Case Studies in Thermal Engineering|2024
67 cit.
3
Emergence of Calabi–Yau manifolds in high-precision black-hole scattering
Nature|2025
61 cit.
4
A meshless method for numerical solutions of linear and nonlinear time-fractional Black-Scholes models
AIMS Mathematics|2023
59 cit.
5
Weighted Fractional Calculus: A General Class of Operators
Fractal and Fractional|2022
52 cit.
6
New approach on conventional solutions to nonlinear partial differential equations describing physical phenomena
Results in Physics|2022
47 cit.
7
A multi-station unreliable machine model with working vacation policy and customers’ impatience
Quality Technology & Quantitative Management|2022
39 cit.
8
Mode Shift Behavior of Commuters Toward Islamabad Metro Bus Service
Advances in Decision Sciences|2022
38 cit.
9
The fractal-fractional Atangana-Baleanu operator for pneumonia disease: stability, statistical and numerical analyses
AIMS Mathematics|2023
37 cit.
10
Thermal characteristics of hybrid Nanofluid (Cu-Al2O3) flow through Darcy porous medium with chemical effects via numerical successive over relaxation technique
Case Studies in Thermal Engineering|2024
37 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
H. M. Srivastava
University of Victoria
2
Yu‐Ming Chu
Huzhou University
3
Alexei Zhedanov
Donetsk Institute for Physics and Engineering named after O.O. Galkin
4
Dumitru Bǎleanu
Lebanese American University
5
Walter Van Assche
KU Leuven
6
Mourad E. H. Ismail
University of Prince Edward Island
7
Feng Qi
Tianjin Medical University General Hospital
8
Yuan Xu
University of Oregon
9
Edward B. Saff
Vanderbilt University
10
Francisco Marcellán
Universidad Carlos III de Madrid

Current Senior Leaders Papers

1
New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model
DOAJ (DOAJ: Directory of Open Access Journals)|2016
3.9k cit.
2
A ‘missing’ family of classical orthogonal polynomials
Journal of Physics A Mathematical and Theoretical|2011
1.6k cit.
3
Distributing many points on a sphere
The Mathematical Intelligencer|1997
1.1k cit.
4
Basic hypergeometric series
Journal of Approximation Theory|1991
1k cit.
5
A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative
Chaos Solitons & Fractals|2020
764 cit.
6
Certain subclasses of analytic and bi-univalent functions
Applied Mathematics Letters|2010
725 cit.
7
Discrete fractional logistic map and its chaos
Nonlinear Dynamics|2013
533 cit.
8
Artificial neural networking (ANN) analysis for heat and entropy generation in flow of non‐Newtonian fluid between two rotating disks
Mathematical Methods in the Applied Sciences|2021
513 cit.
9
Enhancement in Thermal Energy and Solute Particles Using Hybrid Nanoparticles by Engaging Activation Energy and Chemical Reaction over a Parabolic Surface via Finite Element Approach
Fractal and Fractional|2021
485 cit.
10
On a new class of fractional operators
Advances in Difference Equations|2017
471 cit.

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