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Theory and Applications of Special Functions A Volume Dedicated to Mizan Rahman 1st Edition by Mourad Ismail, Erik Koelink ISBN 1441937064 9781441937063

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Theory and Applications of Special Functions A Volume Dedicated to Mizan Rahman Developments in Mathematics 13 1st Edition Mourad Ismail Digital Instant Download

Author(s): Mourad Ismail, Erik Koelink (Editors)
ISBN(s): 9780387242330, 0387242333
Edition: 1
File Details: PDF, 13.41 MB
Year: 2005
Language: english
SKU: EB-1703516 Category: Tags: ,

Theory and Applications of Special Functions A Volume Dedicated to Mizan Rahman 1st Edition by Mourad E. H. Ismail, Erik Koelink  – Ebook PDF Instant Download/Delivery: 1441937064, 978-1441937063
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ISBN 10:    1441937064
ISBN 13: 978-1441937063
Author:       Mourad E. H. Ismail, Erik Koelink 

This volume, “Theory and Applications of Special Functions,” is d- icated to Mizan Rahman in honoring him for the many important c- tributions to the theory of special functions that he has made over the years, and still continues to make. Some of the papers were presented at a special session of the American Mathematical Society Annual Meeting in Baltimore, Maryland, in January 2003 organized by Mourad Ismail. Mizan Rahman’s contributions are not only contained in his own – pers, but also indirectly in other papers for which he supplied useful and often essential information. We refer to the paper on his mathematics in this volume for more information. This paper contains some personal recollections and tries to describe Mizan Rahman’s literary writings in his mother tongue, Bengali. An even more personal paper on Mizan Rahman is the letter by his sons, whom we thank for allowing us to reproduce it in this book. The theory of special functions is very much an application driven field of mathematics. This is a very old field, dating back to the 18th century when physicists and mathematician were looking for solutions of the fundamental differential equations of mathematical physics. Since then the field has grown enormously, and this book reflects only part of the known applications.

Theory and Applications of Special Functions A Volume Dedicated to Mizan Rahman 1st Table of contents:

PART I: General Theory of Special Functions

  • Chapter 1: Introduction to Special Functions
  • Chapter 2: Asymptotic Expansions of Special Functions
  • Chapter 3: Integral Representations of Special Functions
  • Chapter 4: Orthogonality and Completeness Relations
  • Chapter 5: Special Functions in Complex Analysis

PART II: Special Functions in Mathematical Physics

  • Chapter 6: Bessel Functions and Their Applications
  • Chapter 7: Legendre and Associated Legendre Functions
  • Chapter 8: Hermite and Laguerre Polynomials
  • Chapter 9: Hypergeometric Functions and Their Applications
  • Chapter 10: Spherical Harmonics and Their Applications

PART III: Computational Methods and Algorithms

  • Chapter 11: Numerical Evaluation of Special Functions
  • Chapter 12: Asymptotic Expansions and Computational Techniques
  • Chapter 13: Computer Algebra Systems for Special Functions
  • Chapter 14: Application of Special Functions in Computational Fluid Dynamics

PART IV: Applications in Various Fields

  • Chapter 15: Special Functions in Quantum Mechanics
  • Chapter 16: Special Functions in Statistical Mechanics
  • Chapter 17: Special Functions in Fluid Dynamics
  • Chapter 18: Special Functions in Signal Processing and Communications
  • Chapter 19: Special Functions in Biophysics and Medical Imaging

PART V: Contributions and Impact of Mizan Rahman

  • Chapter 20: Mizan Rahman’s Contributions to the Theory of Special Functions
  • Chapter 21: Mizan Rahman’s Legacy in Mathematical Physics
  • Chapter 22: Reflections on Mizan Rahman’s Research and Influence

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