I-Function and Its Applications (Mathematical Modeling and Computational Methods for Innovation)

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I-Function and Its Applications (Mathematical Modeling and Computational Methods for Innovation)

Saxena, Vinod Prakash/ Agarwal, Praveen/ Bhat, Altaf Ahmad

ウェブストア価格 ¥37,001（本体¥33,638）
Chapman & Hall/CRC（2024/11発売）
外貨定価 US$ 180.00
ポイント 336pt

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製本 Hardcover:ハードカバー版／ページ数 300 p.
言語 ENG
商品コード 9781032847924
DDC分類 515.7

Full 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.

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