I-Function and Its Applications

Vinod Prakash Saxena, Praveen Agarwal, Altaf Ahmad Bhat

• Publisher: Chapman and Hall/CRC
• Year: 2024
• eBook ISBN: 9781040150184
• Topic: Mathematics
• Subtopic: Applied Mathematics
• Index: Mathematics

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.

Table of contents

• Cover
• Half Title
• Series Page
• Title Page
• Copyright Page
• Table of Contents
• Preface
• About the Authors
• Chapter 1 Introduction
• Chapter 2 Transformation of I-Function and H-Function for Rational Parameters
• Chapter 3 Certain Integrals Involving I-Function
• Chapter 4 Some Expansion Formulas of I-Function
• Chapter 5 Single and Dual Integral Equations Involving I-Function
• Chapter 6 Integral Equations Involving Bessel–Maitland Functions
• Chapter 7 Associated Generating Function q and (p,q)-Analogue of I-Function
• Chapter 8 Function Applications
• References
• Index