This paper presents the construction of a new set of generalized photon-added
coherent states related to associated hypergeometric functions introduced in
our previous work (Hounkonnou M N and Sodoga K, 2005, J. Phys. A: Math. Gen 38,
7851). These states satisfy all required mathematical and physical properties.
The associated Stieltjes power-moment problem is explicitly solved by using
Meijer's G-function and the Mellin inversion theorem. Relevant quantum optical
and thermal characteristics are investigated. The formalism is applied to
particular cases of the associated Hermite, Laguerre, Jacobi polynomials and
hypergeometric functions. Their corresponding states exhibit sub-Poissonian
photon number statistics
