Search Results for Abel-Plana formula

...Abel-Plana formula Integral calculus capacitors electronic devices energy storage The Abel–Plana Formula Let f(x) be a slowly varying function of x, and let n₁, …n, …n₂ be an integer sequence. Then, by the trapezoidal...

... b 4 160 a 2 b 2 ( a + b ) 2 s 2 + O ( s 3 ) } . The series expressions for the capacitance coefficients converge more and more slowly as s (and therefore U) go to zero. The Abel–Plana formula of Sec. 9.1 provides an exactly...

... for α_L, which becomes more accurate the closer the spheres approach each other, and whose leading term is the contact value of α_L in ( 3.43 ), obtained by Jiang et al. (1997) . We again make use of the results of Sec. 9.1, which are based on the Abel-Plana...