Promoting Research in Pure & Applied Mathematics
Publisher of the Indian Journal of Mathematics (IJM) and Bulletin of the Allahabad Mathematical Society.
Featured Publications & Journals
Peer-reviewed international publications (Images fetched from uploads/images/)
Decomposition Theorems in Non-Commutative Harmonic Analysis
By Dr. Alok Nath Tripathy
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On Asymptotic Behavior of Solutions to Non-Autonomous Wave Equations
By Dr. Elena Rostova
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Fixed Point Theorems for Generalized Contraction Mappings in Metric Spaces
By Prof. Rajesh K. Sharma
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Geometric Properties of Analytic Functions Associated with Conic Domains
By Prof. Michael Zhang
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Latest peer-reviewed articles from our journals
Decomposition Theorems in Non-Commutative Harmonic Analysis
Author: Dr. Alok Nath Tripathy
This paper develops a unified approach to irreducible decomposition theorems within the framework of non-commutative harmonic analysis on locally compact quantum groups. By employing von Neumann algebra techniques, we show that classical Plancherel transform formulas extend naturally to modern quantum settings with quasi-invariant measures.
On Asymptotic Behavior of Solutions to Non-Autonomous Wave Equations
Author: Dr. Elena Rostova
We investigate the qualitative properties and long-time asymptotic behavior of weak solutions to a class of non-autonomous wave equations featuring localized damping terms. Using energy estimates combined with multiplier methods, exponential decay rate bounds are established. Furthermore, we demonstrate the stability of attractors under non-autonomous deterministic perturbations.
Fixed Point Theorems for Generalized Contraction Mappings in Metric Spaces
Author: Prof. Rajesh K. Sharma
In this paper, we establish several novel fixed point theorems for generalized contraction mappings operating within complete metric spaces. We extend the classical Banach contraction principle by introducing a relaxed continuity constraint and proving uniqueness conditions for non-linear operators. Numerical applications to fractional differential equations are presented to illustrate the main theoretical results.
Geometric Properties of Analytic Functions Associated with Conic Domains
Author: Prof. Michael Zhang
The primary aim of this work is to study subclass properties of univalent and analytic functions mapping the unit disk onto generalized conic domains. Sharp coefficient estimates, subordination bounds, and radii of starlikeness are explicitly derived for function classes satisfying differential inequalities.
Society Notices
All NoticesIndexed & Abstracted In
- Mathematical Reviews / MathSciNet (AMS)
- Zentralblatt MATH (zbMATH)
- Scopus & Web of Science Emerging Sources
- Indian Science Abstracts
Executive Council & Leadership
Distinguished mathematicians guiding the Allahabad Mathematical Society
Prof. Pramila Srivastava
Founder & Chief Patron
University of Allahabad
Prof. K. K. Azad
President
Allahabad Mathematical Society
Prof. S. P. Singh
Chief Editor (IJM)
Memorial University, Newfoundland
Dr. Mona Khare
Secretary & Managing Editor
University of Allahabad
Prof. R. P. Agarwal
Vice President
Texas A&M University, USA
Dr. Himanshu Pandey
Treasurer
AMS Executive Body