This conference proceedings book consists of selected papers presented at the 2nd International Conference on Mathematical Analysis and Applications (MAA 2025), held at the Department of Mathematics, National Institute of Technology Jamshedpur, Jharkhand, India, from 6 to 7 August 2025. It presents peer-reviewed research and survey papers in the recent topics of mathematical analysis that cover a broad range of areas including approximation theory, operator theory, function spaces, complex analysis, geometric and univalent function theory, control theory, fractional calculus, special functions, operation research, theory of inequalities, Fourier and wavelet analysis, mathematical physics, graph theory, stochastic orders, and numerical analysis. Some chapters discuss the applications in real-life situations. The book will be beneficial for researchers and students in the field of pure and applied mathematics.

Sourav Das is Assistant Professor in the Department of Mathematics, National Institute of Technology Jamshedpur, Jharkhand, India. Earlier, he worked as Lecturer in the Department of Mathematics, National Institute of Technology Hamirpur, Himachal Pradesh, India. He received his master’s and doctoral degrees from the Indian Institute of Technology Roorkee, Uttarakhand, India, respectively in 2012 and 2017. His areas of research include complex analysis, orthogonal polynomials, and special functions. He is actively involved in teaching undergraduate and postgraduate students as well as guiding Ph.D. students. He visited several universities globally for academic activities and delivered many lectures. He is also Member of many professional societies such as American Mathematical Society, Society for Special Functions and their Applications, and International Association of Engineers.

Ram N. Mohapatra is Professor of mathematics at the University of Central Florida, Orlando, USA. He completed his Ph.D. in mathematics from Jabalpur University, India, in 1968, under the guidance of late Professor Tribikram Pati. He worked as Lecturer at the Regional College of Education, Bhubaneswar, India, and at the Postgraduate Department of Mathematics, Sambalpur University, India, before joining the American University of Beirut, Lebanon. He has published over 200 research papers in peer-reviewed journals in summability theory and sequence spaces, Fourier analysis, approximation and geometric function theory, fluid mathematics, mathematical physics, mathematical models in epidemiology, frames in Hilbert C* modules, optimal frames for erasers, variational inequalities, equilibrium problems, and optimization theory. He has coauthored a book, Fuzzy Differential Equations, and edited nine volumes published by renowned publishers (including Springer Nature). His current interests are in image encryption, cyber security, and equilibrium problems arising in variational inequality formulations.

A. Swaminathan is Professor in the Department of Mathematics, Indian Institute of Technology Roorkee, Uttarakhand, India. He received his Ph.D. in mathematics from the University of Madras, India, in the field of univalent functions, which is a branch of complex analysis. He continued to pursue his research work on various aspects of univalent functions and the computational aspects of various special functions, particularly on the Gaussian hypergeometric functions and gamma functions. His research interest extends to the study of zeros and spectral properties of classical orthogonal polynomials defined on the real line and on the unit circle. He also has investigated the numerical quadrature formulas related to many of these polynomials. His research articles are published in reputed journals in mathematics. He has visited several institutions across the globe for research collaborations and participated in various mathematical meetings.