Infinite Series and Logarithmic Integrals Associated to Differentiation with Respect to Parameters of the Whittaker Wκ,μx Function II

First derivatives with respect to the parameters of Whittaker function $\mathrm{W}_{\kappa ,\mu }\left( x\right) $ are calculated. Using confluent hypergeometric function, these derivarives can be expressed as infinite sums quotients digamma and gamma functions. Also, it is possible obtain parameter in terms integrals integrands containing elementary functions (products algebraic, exponential logarithmic functions) from integral representation $. These closed-form for particular values parameters. Finally, an $\mathrm{wi}_{\kappa its derivative $\kappa $, well some reduction formulas $\mathrm{Wi}_{\kappa