It takes the average reader 7 hours and 15 minutes to read Orthogonal Polynomials and Special Functions by Francisco Marcellàn
Assuming a reading speed of 250 words per minute. Learn more
Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? In the twentieth century the emphasis was on special functions satisfying linear differential equations, but this has now been extended to difference equations, partial differential equations and non-linear differential equations. The present set of lecture notes containes seven chapters about the current state of orthogonal polynomials and special functions and gives a view on open problems and future directions. The topics are: computational methods and software for quadrature and approximation, equilibrium problems in logarithmic potential theory, discrete orthogonal polynomials and convergence of Krylov subspace methods in numerical linear algebra, orthogonal rational functions and matrix orthogonal rational functions, orthogonal polynomials in several variables (Jack polynomials) and separation of variables, a classification of finite families of orthogonal polynomials in Askey’s scheme using Leonard pairs, and non-linear special functions associated with the Painlevé equations.
Orthogonal Polynomials and Special Functions by Francisco Marcellàn is 432 pages long, and a total of 108,864 words.
This makes it 146% the length of the average book. It also has 133% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 9 hours and 54 minutes to read Orthogonal Polynomials and Special Functions aloud.
Orthogonal Polynomials and Special Functions is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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