In this paper, firstly, we show that by using the Poisson summation formula, the analytic continuation of the Lerch zeta function can be explained and the functional relation for the Lerch zeta function can be obtained in a very elementary way.
The key observation is that the functional relation $f \theta, \epsilon)$ is smoothly invertible, i.e., the function \[ f^{-1}(\hat{\theta}(s), \epsilon) = \hat{\theta}(s) - \epsilon = \theta \] points each combination of $\hat{\theta}(s)$ and $\epsilon $to a unique parameter value $\theta$.
The principle of JAV, i.e. that functions of the same variable are treated as separate and the functional relation between them ignored, is not tied to the normal distribution.
Finally, we consider the functional relation (2.8).
Furthermore, the functional relation of cilia with other cellular structures remains poorly understood.
Section 4 is devoted to find the functional relation between and.
The expressions of the functional relation between a∗ and p with temperature T were deduced.
Inset of Fig. 3 demonstrates the functional relation between characteristic emission intensity of Mn and doping amount.
The functional relation between the parameters h and r on n also depends on an auxiliary parameter (beta>0).
