I-function and Its Applications

This book presents the essential role of mathematical modelling and computational methods in representing physical phenomena mathematically, focusing on the significance of the I-function. Serving as a generalized form of special functions, particularly generalised hypergeometric functions, the I-function emerges from solving dual integral equations, prevalent in scenarios such as mixed boundary problems in potential theory, energy diffusion, and population dynamics.

• Offers the most recent developments on I-function and their application in mathematical modelling and possible applications to some other research areas
• Expands the area of special functions that have been developed and applied in a variety of fields, such as combinatory, astronomy, applied mathematics, physics, and engineering
• Highlights the importance of fundamental results and techniques based on the theory of complex analysis and emphasizes articles devoted to the mathematical aspect and applications
• Shows the importance of fundamental results and techniques derived from the theory of complex analysis, laying the groundwork for further exploration and potential applications of the I-function in solving complex problems
• Discusses dual integral equations solving and its crucial role in various physical phenomena, such as potential theory and population dynamics

Expanding the field of special functions, I-function and Its Applications serves as a platform for recent theories and applications, offering students, researchers, and scholars of Mathematics insight into advanced mathematical techniques and their practical implications across various fields.

Prof. Vinod Prasad Saxena completed his M.Sc. in 1966 with distinction from Jiwaji University Gwalior, Madhya Pradesh. Four years afterwards he earned a Ph.D. for his research contribution entitled “Integral Transforms and Their Technical Application". At the postdoctoral level, he worked as CSIR senior Research Fellow and postdoctoral research fellow at SATI, Vidisha and M.A. College of Technology Bhopal from May 1969 to July 1971. Besides, Dr. V. P. Saxena was a visiting scientist at the University of Cambridge, England. He was also a visiting scientist in 1978 under the British Council UGC (INDIA) Exchange of Young Scientists Programme and worked under Sri James Hill, Professor of LUC Asian University. Besides being a professor, he was Dean, Faculty of Science, Jiwaji University, Gwalior from 1980 to 1986 and again from 1990 to 1992. Dr. V. P. Saxena took over as emergency Vice Chancellor, Jiwaji University on August 9, 2000. Dr. V. P. Saxena visited England, China, Singapore, Argentina, Turkey, Cyprus, Germany where he had delivered a series of lectures and presented scores of research papers on Mathematics and Engineering.

Dr. Praveen Agarwal is Vice-Principal and Professor at Anand International College of Engineering, Jaipur, India. He was listed among Stanford Univeristy's ranking of the World's Top 2% Scientist in 2020, 2021, 2022, and 2023. In the 2023 ranking of best scientists worldwide announced by Research.com, he ranked 21st at the India level and 2436th worldwide in Mathematics. He is the Editor of Book series Mathematical Modelling & Computational Method for Innovation, Taylor & Francis Group.

Dr. Altaf Ahmad Bhat earned his Ph.D. from the School of Mathematics and Allied Sciences, Jiwaji University Gwalior in 2019. He qualified CSIR NET in Mathematics in December 2015. His fields of specialization are Special Functions, Basic Hypergeometric Series, and Fractional Calculus. He has published more than 40 research papers in journals of international repute. He has 9 years of Teaching experience as Assistant Professor of Mathematics at Department of Computer Science and Engineering, Islamic University of Science and Technology – Awantipora – Pulwama – Kashmir – India from March 2011 to December 2015 and January 2018 to February 2022. Since November 2022 he has been Lecturer at the Department of Mathematics and Computing Skills Unit, Preparatory Studies Centre, University of Technology and Applied Sciences – Salalah – Sultanate of Oman.