Leaderboards/Advanced Mathematical Identities

Advanced Mathematical Identities

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Chinnaraji Annamalai
Indian Institute of Technology Kharagpur
2
Chunli Li
Zhoukou Normal University
3
Neslıhan Kilar
Niğde Ömer Halisdemir Üniversitesi
4
Sebastian Pögel
Paul Scherrer Institute
5
Moritz Walden
Uppsala University
6
Gal Raayoni
Technion – Israel Institute of Technology
7
T. K. Kim
Kwangwoon University
8
Koustav Banerjee
University of Cologne
9
RC Vaughan
Imperial College London
10
T. Kim
Kwangwoon University

Rising Stars Papers

1
Self-dualities and Galois symmetries in Feynman integrals
Journal of High Energy Physics|2024
12 cit.
2
The unequal-mass three-loop banana integral
Journal of High Energy Physics|2026
7 cit.
3
Evaluating Infinite Series Involving Harmonic Numbers by Integration
Mathematics|2024
5 cit.
4
Gauss’ Second Theorem for F12(1/2)-Series and Novel Harmonic Series Identities
Mathematics|2024
5 cit.
5
Invariants of the quartic binary form and proofs of Chen’s conjectures on inequalities for the partition function and the Andrews’ spt function
Research in the Mathematical Sciences|2024
5 cit.
6
Learning group invariant Calabi–Yau metrics by fundamental domain projections
Machine Learning Science and Technology|2025
5 cit.
7
Binomial Series Involving Harmonic-like Numbers
Axioms|2024
4 cit.
8
Generating Functions for Binomial Series Involving Harmonic-like Numbers
Mathematics|2024
4 cit.
9
By analysis of moments of geometric distribution: New formulas involving Eulerian and Fubini numbers
Applicable Analysis and Discrete Mathematics|2024
4 cit.
10
Einstein’s Special Theory of Relativity: A New Mass-Energy Equivalence
SSRN Electronic Journal|2024
3 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Maya Kleiman
University of British Columbia Hospital
2
Hyunseok Lee
Gyeongguk National University
3
Dazhao Tang
Chongqing Normal University
4
John Richard Rhodes
Durham University
5
Fang-Fang Liu
Chang'an University
6
Gwan-Woo Jang
Kwangwoon University
7
Bibekananda Maji
Indian Institute of Technology Indore
8
Tabinda Nahid
Aligarh Muslim University
9
Shahid Ahmad Wani
Aligarh Muslim University
10
Rupam Barman
Indian Institute of Technology Guwahati

Emerging Leaders Papers

1
Certain advancements in multidimensional q-hermite polynomials
Reports on Mathematical Physics|2024
17 cit.
2
Studies on Special Polynomials Involving Degenerate Appell Polynomials and Fractional Derivative
Symmetry|2023
16 cit.
3
Some properties on degenerate Fubini polynomials
Applied Mathematics in Science and Engineering|2022
15 cit.
4
Certain Properties and Applications of Δh Hybrid Special Polynomials Associated with Appell Sequences
Fractal and Fractional|2023
15 cit.
5
Neutrosophic robust ratio type estimator for estimating finite population mean
Heliyon|2024
15 cit.
6
Proofs of two conjectural Andrews–Beck type congruences due to Lin, Peng and Toh
International Journal of Number Theory|2023
12 cit.
7
Self-Cleaning Biomimetic Surfaces—The Effect of Microstructure and Hydrophobicity on Conidia Repellence
Materials|2022
10 cit.
8
Degenerate 2D bivariate Appell polynomials: properties and applications
Applied Mathematics in Science and Engineering|2023
10 cit.
9
Some Families of Differential Equations Associated with Multivariate Hermite Polynomials
Fractal and Fractional|2023
10 cit.
10
A Study on Generalized Degenerate Form of 2D Appell Polynomials via Fractional Operators
Fractal and Fractional|2023
10 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
H. M. Srivastava
University of Victoria
2
Ken Ono
Emory University
3
Dennis Stanton
University of Minnesota
4
Yılmaz Şimşek
Akdeniz University
5
Jiang Zeng
Université Claude Bernard Lyon 1
6
Taekyun Kim
Kwangwoon University
7
Dae San Kim
Sogang University
8
Doron Zeilberger
Rutgers Sexual and Reproductive Health and Rights
9
Frank Garvan
University of Florida
10
James A. Sellers
KU Leuven

Current Senior Leaders Papers

1
Certain subclasses of analytic and bi-univalent functions
Applied Mathematics Letters|2010
725 cit.
2
A holonomic systems approach to special functions identities
Journal of Computational and Applied Mathematics|1990
545 cit.
3
The method of creative telescoping
Journal of Symbolic Computation|1991
462 cit.
4
Fractional calculus with an integral operator containing a generalized Mittag–Leffler function in the kernel
Applied Mathematics and Computation|2009
449 cit.
5
Operators of Basic (or q-) Calculus and Fractional q-Calculus and Their Applications in Geometric Function Theory of Complex Analysis
Iranian Journal of Science and Technology Transactions A Science|2020
431 cit.
6
An algorithmic proof theory for hypergeometric (ordinary and “q”) multisum/integral identities
Inventiones mathematicae|1992
413 cit.
7
Univalent and Starlike Generalized Hypergeometric Functions
Canadian Journal of Mathematics|1987
396 cit.
8
Dyson’s crank of a partition
Bulletin of the American Mathematical Society|1988
385 cit.
9
Classes of analytic functions associated with the generalized hypergeometric function
Applied Mathematics and Computation|1999
357 cit.
10
On the generalized Apostol-type Frobenius-Euler polynomials
Advances in Difference Equations|2013
309 cit.

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