In this chapter, several theorems for finding the integral representation of the coefficients of a series are proved. Integral representations of various sums involving the coefficients of a series are also proved. An integral related to the Fourier series is also derived. The problems list several special integrals and series sums derived using the theorems and corollaries proved in this chapter.

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Special Integrals

  • Abhishek Mishra

摘要

In this chapter, several theorems for finding the integral representation of the coefficients of a series are proved. Integral representations of various sums involving the coefficients of a series are also proved. An integral related to the Fourier series is also derived. The problems list several special integrals and series sums derived using the theorems and corollaries proved in this chapter.