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13 best special functions Books of All Time (Update 2022)

13 Best Special Functions Books of All Time (Update 2022)

MathSchoolinternational contain 5000+ of Mathematics Free PDF Books and Physics Free PDF Books. Which cover almost all topics for students of Mathematics, Physics and Engineering. Here is extisive list of Special Functions ebooks. We hope students and teachers like these textbooks, notes and solution manuals.


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A special function is a function (usually named after an early investigator of its properties) having a particular use in mathematical physics or some other branch of mathematics.

Special Function List
Gamma function, Beta function, Pergeometric function, Whittaker function, Error function (also called the Gauss error function), Meijer G-function Bessel functions, Gauss hypergeometric function and the polynomials functions (Jacobi, Legendre, Laguerre, Hermite, etc.) are all the Special functions.

Special Function is useful tools for solving differential equations
Many special functions appear as solutions of differential equations or integrals of elementary functions.
Special functions are used as useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations, fractional-calculus analogues and extensions of each of these equations, and various other problems involving special functions in mathematical physics and applied mathematics.

Special functions are particular mathematical functions that have more or less established names and notations due to their importance in mathematical analysis, functional analysis, geometry, physics, or other applications.

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13 Best Special Functions Books

Special Functions by Earl Rainville Special Functions by Earl Rainville
  • Free
  • English
  • PDF 247
  • Page 377

  • Special Functions by Leon M. Hall Special Functions by Leon M. Hall
  • Free
  • English
  • PDF 47
  • Page 63