I-Function and Its Applications
Series: Mathematical Modeling and Computational Methods for Innovation;
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Product details:
- Edition number 1
- Publisher Chapman and Hall
- Date of Publication 21 November 2024
- ISBN 9781032847924
- Binding Hardback
- No. of pages310 pages
- Size 234x156 mm
- Weight 453 g
- Language English
- Illustrations 5 Illustrations, black & white; 5 Line drawings, black & white 664
Categories
Short description:
This book presents the essential role of Mathematical Modeling and Computational Methods in representing physical phenomena mathematically, focusing on the significance of the I-function.
MoreLong description:
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.
MoreTable of Contents:
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
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