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de d ordinary differential equations special functions 2025

Type:: E-books
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Textbook in PDF format This book is an essential guide for anyone in engineering or mathematical physics looking to master the fundamental concepts of differential equations and special functions, which are crucial for solving real-world problems. This present book on “Ordinary Differential Equations and Special Functions” has been written to meet the requirements of the students of post-graduate and research courses in mathematics. My goal has been to provide a basic, methodical overview of the topic. All findings are supported by theorems and meticulous proofs, and sufficient examples are provided to make them simple to understand. This book has two parts. Part I contains seven chapters dealing with the Ordinary Differential Equations. In the first chapter, we deal with some preliminaries (I) necessary for the treatment of the materials in the remaining six chapters of this part. In the second chapter, we discuss Picard’s approximation method, and the third deals with matrix operations in systems of linear equations. Chapters 4 to 6 deals with homogeneous and non-homogeneous linear equations, and the last chapter deals with part-I, which contains Strum Liouville problems. Part II contains nine chapters which are devoted to the theory of special functions such as hypergeometric functions, generalized hypergeometric functions, Bessel, Legendre, Laguerre, Hermite, Chebyshev and Jacobi polynomials and their properties. A large number of problems have been completely solved, and the exercise at the end of each chapter will further help the student

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de d ordinary differential equations special functions 2025

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