Infinite series of the type Sigma(n=1)(infinity)(alpha/2)n/n 1/n!F-2(1)(-n,b;gamma;y) are investigated. Closed-form sums are obtained for alpha a positive integer, alpha = 1, 2, 3,.... The limiting case of b --> infinity, after gamma is replaced with x(2)/b, leads to Sigma(n=1)(infinity)(alpha/2)...

An approximate solution of the Klein-Gordon equation for the general Hulthen-type potentials in D -dimensions within the framework of an approximation to the centrifugal term is obtained. The bound state energy eigenvalues and the normalized eigenfunctions are obtained in terms of hypergeometric pol...

Infinite series, Sigma(n=1)(infinity) (alpha/2)(n)/n 1/n! F-1(1)(-n, gamma, x(2)), where F-1(1)(-n, gamma, x(2)) = n!/(gamma)(n) L-n((gamma-1))(x(2)), appear in the first-order perturbation correction for the wavefunction of the generalized spiked harmonic oscillator Hamiltonian H = -d(2)/dx(2) + Bx...