The parabolic confinement potential well (PCPW) and Gaussian functional confinement potential well (GFCPW) are selected to describe the trans verse and longitudinal confinement potentials of the electron in the disk quantum dot (DQD ), respectively.The ground and exited state energies of the electron are derived b y using Pekar-type variational method,then the electronic transition affected by a mag netic field is discussed based on the Fermi golden rule.The results indicate that the ground -state energy E₀ and the excited state energy E₁ of the electr on increase with decreasing the range R₀ of the PCPW.The absolute values ｜E₀｜ and ｜E₁｜increas e with increasing the strength of the electron-phonon coupling (SEPC) α,the well width L and the well depth V₀ of the GFCPW,respectively.The tran sition probability P decreases with decreasing R₀ of the PCPW when α＞6． 0 (strong coupling) and increases with decreasing the SEPC α.The transition probability P is the increasing function of the well width L of the AGFCP when L is large (L＞1．3rp)．The probability P oscillates and decreases with the decreasing well width L of the AGFCP when L is small (L＜1．3rp). The transition probability P decreases with increasing the well depth V₀ of the AGFCP when L is fixed.The transition probability P oscillates with changing the magnetic-field cyclotron frequency ωc,and the magnetic field is not only an indispensable condition for the induced electron transition,but also has a strong regul atory function on the transition probability.The GFCPW reflects the real confinement potential more accurately than PCPW.The influence of the thickness of the quantum dot on the electronic transition is significant and cannot be ignored.There is a large d ifference in the influence of the strength of the electron-phonon coupling α,the range R₀ of the PCPW,the magnetic-field cyclotron frequency ωc, the well width L and the well depth V₀ of the GFCPW on the electronic transition probability P,respectively.