I-Function and Its Applications [Hardcover]

1.INTRODUCTION 2.TRANSFORMATION OF I-FUNCTION AND H-FUNCTION FOR RATIONAL PARAMETERS 3.CERTAIN INTEGRALS INVOLVING I-FUNCTION 4. SOME EXPANSION FORMULAS OF I-FUNCTION 5.SINGLE AND DUAL INTEGRAL EQUATIONS INVOLVING I-FUNCTION 6. INTEGRAL EQUATIONS INVOLVING BESSEL-MAITLAND FUNCTIONS 7. ASSOCIATED GENERATING FUNCTIONS q AND (p,q)-ANALOGUE OF I-FUNCTION 8. FUNCTION 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&l³³