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Closed expression for characteristic function of CEPE distribution

The recent paper by Maturi and Elsayigh [The Correlation between Variate-Values and Ranks in Samples from Complete Fourth Power Exponential Distribution, Journal of Mathematics Research 1 (2009), No. 1, 14-18] derived the correlation between variate-values and ranks in a sample from the distribution referred as Complete Fourth Power Exponential (CFPE). The paper contained an expression for the chatacteristic function of CFPE distribution in the section 2 as double sum (one infinite) of terms involving special functions. Here, I would like to reduce this formula to an explicit and closed form via Wright's hypergeometric type $\phi(\alpha, \beta ; x)$ function. Moreover, this result turns out to be a corollary of closed form expression for the characteristic function of so-called Complete Eventh Power Exponential (CEPE) distribution such that one expresses in terms of Fox-Wright generalized hypergeometric $_p\Psi_q$ function.

Complete fourth power exponential distribution ; Complete eventh power exponential distribution ; Fox-Wright generalized hypergeometric $_p\Psi_q$ function ; Wright's hypergeometric $\phi$ function

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