The Chebyshev series in $1/x$ for all the familiar special functions fall into this category, so this class of functions is very important indeed. In words, the theorem shows that the more slowly the ...

There is also a useful addendum on beta and gamma functions, power series, the application of Taylor's theorem to functions of several variables, Euler's theorems on homogeneous functions and ...

Description: Complex numbers and complex-valued functions; differentiation of complex functions; power series, uniform convergence; integration, contour integrals; elementary conformal mapping. Not ...