Special Functions in Physics and Engineering
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Home > Mathematics and Science Textbooks > Mathematics > Applied mathematics > Special Functions in Physics and Engineering: A renewed approach with applications(IOP ebooks)
Special Functions in Physics and Engineering: A renewed approach with applications(IOP ebooks)

Special Functions in Physics and Engineering: A renewed approach with applications(IOP ebooks)


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About the Book

A comprehensive-student-friendly and self-contained structured textbook aimed at stimulating students' interests and curiosity on special functions, organized in a logical and simple manner in order of complexity. The balance between theory and pertinent worked examples, which is an integral part of each chapter, reinforces the readers' understanding of the fundamental concepts. The analytical methods employed are written with mathematical rigor and clarity emphasizing a thorough knowledge of special functions with useful and helpful techniques for students pursuing graduate and undergraduate studies in mathematics, statistical and condensed matter physics, quantum mechanics, modern engineering and electronics. The comprehensive coverage of special functions and their applications in several areas of physics and engineering constitutes an unusually valuable reference and handbook. Key Features: Organized in a logical and simple manner in order of complexity which aids in easy understanding Many worked examples which form an integral part of each chapter. Comprehensive-student-friendly and self-contained structure Rigorous mathematical treatment Balance between theory and worked examples Includes applications in several areas of physics and engineering

Table of Contents:
Preface Acknowledgements Author biography 1 Functions of complex variables 2 Boundary value problems 3 Riemann boundary value problem 4 Riemann boundary value problem with discontinuous coefficients and closed contours 5 Mechanical applications 6 Taylor and Laurent series and the residue theory 7 Singular points 8 Residues of regular functions at isolated singularities 9 Operator analysis 10 Multiplication and expansion theorem 11 Differential equations solution by the Laplace transform 12 Gamma function 13 Gamma function contour integral representation 14 Gamma function operator analysis 15 Beta function: first kind Euler integral 16 Asymptotic methods 17 Fuchsian equations—differential equations’ singularities 18 Fuchsian class equation 19 Solution of the hypergeometric differential equation 20 Riemann differential equation transformed into the hypergeometric differential equation 21 Representation of elementary functions via hypergeometric functions 22 Hypergeometric-type integrals 23 Some properties of the hypergeometric functions 24 Lame generalized equation 25 Hypergeometric functions 26 Exponential integral and functions it generates 27 Laplace equation solution—hypergeometric and parabolic cylinder functions 28 Cylindrical functions of the first kind 29 Applications of cylindrical functions of the first kind 30 Cylindrical functions of the second kind 31 Cylindrical function of the third kind 32 Modified Bessel function 33 Thomson (Kelvin) functions and their generalizations 34 Contour integral representation of Bessel equation solution 35 Orthogonal cylindrical functions of the first kind 36 General theory of orthogonal polynomials 37 Jacobi polynomials 38 Ultraspherical (Gegenbauer) polynomials 39 Tschebycheff polynomials 40 Legendre polynomials 41 Spherical functions 42 Generalized Laguerre polynomial 43 Hermite polynomials 44 Elliptic functions 45 Lame and Mathieu functions

About the Author :
Lukong Cornelius Fai is professor of Theoretical Physics at the Department of Physics, Faculty of Sciences, University of Dschang as well as visiting professor at the Department of Physics, Faculty of Science, University of Bamenda, both in Cameroon. He is Head of Condensed Matter and Nanomaterials program at the Department of Physics, Faculty of Sciences, University of Dschang; He also heads the Condensed Matter, Electronics and Signal Processing as well as Mesoscopic and Multilayer Structures Laboratory at the Department of Physics, Faculty of Sciences, University of Dschang, and is Director of the College of Technology, University of Buea in Cameroon. He was formerly senior associate at the Abdus Salam International Centre for Theoretical Physics (ICTP), Italy. He holds a Master of Science degree in Physics and Mathematics (June 1991) as well as a Doctor of Science degree in Physics and Mathematics (February 1997) from the Faculty of Physics, Department of Theoretical Physics, Moldova State University. He has authored two hundred and nine scientific publications and six books.


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Product Details
  • ISBN-13: 9780750361477
  • Publisher: Institute of Physics Publishing
  • Publisher Imprint: Institute of Physics Publishing
  • Height: 254 mm
  • Series Title: IOP ebooks
  • Sub Title: A renewed approach with applications
  • Width: 178 mm
  • ISBN-10: 0750361476
  • Publisher Date: 19 Dec 2024
  • Binding: Hardback
  • Language: English
  • Spine Width: 51 mm
  • Weight: 1939 gr


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