Complex Variable and Special Functions by Patra

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Complex Variable and Special Functions

by Patra

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ABOUT THE BOOK:- Author aim is to make the readers easily understand the theory of complex variables. He explains this subject matter from a rudimentary to advanced level in a very simple manner. Organized in two parts, this book explains exact definitions of different terms used by supplying worked-out examples wherever found necessary. A large number of examples have been solved in the book to acquaint the readers with different techniques. Further more, a large number of problems have been supplied with answers at the end of each chapter. The first part of the book (Chapters 1 through 11) containing analysis of complex variables will be useful for the undergraduate students of engineering and science. The second part of the book (Chapters 12 through 20) is written in complex domain and is targeted towards advanced level readers who are either pursuing postgraduate studies in Mathematics or research in Applied Mathematics. The first part is prerequisite for this section of the book. Preface 1. Complex Numbers 2. Complex Variables and Regions of Complex Plane 3. Continuity 4. Derivative 5. Elementary and Multivalued Functions 6. Integrals 7. Complex Sequence and Series 8. Zeros, Singularities and Residues 9. Application of Residues 10. Meromorphic Functions and Some Special Topics 11. Mapping or Transformation 12. The Gamma Function and Related Functions 13. Homogeneous Linear Ordinary Differential Equation 14. Fuchsian Type of ODE 15. The Hypergeometric Equation 16. Legendre Equation 17. Bessel Functions 18. Hermite Functions and Polynomials 19. Laguerre Polynomials 20. Chebyshev Polynomials Index ISBN - 9788120348578

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