论文信息 - Summation of series and Gaussian quadratures

Summation of series and Gaussian quadratures

Continuing previous work, we discuss applications of our summation/integration procedure to some classes of complex slowly convergent series. Especially, we consider the series of the form\(\sum\nolimits_{k = 1}^{ + \infty } {( \pm 1)^k k^{v - 1} } R(k)\), where 0 =2/((2m+1)π),m∈ℕ0, involving the hyperbolic weightw(t)=1/cosh2t. Numerical results are included to illustrate the method.

Gradimir V. Milovanović

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