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An asymptotic iteration method for solving second-order homogeneous linear differential equations of the form y ′′ = λ0(x)y ′ + s0(x)y is introduced, where λ0(x) = 0 and s0(x) are C∞ functions.… (More)

We show that many integrals containing products of confluent hypergeometric functions follow directly from one single integral that has a very simple formula in terms of Appell’s double series F2 .… (More)

- Sheldon B. Opps, Nasser Saad, Hari M. Srivastava
- Applied Mathematics and Computation
- 2009

The one-dimensional Schrödinger’s equation is analysed with regard to the existence of exact solutions for decatic polynomial potentials. Under certain conditions on the potential’s parameters, we… (More)

We consider the differential equations y = λ0(x)y ′ + s0(x)y, where λ0(x), s0(x) are C −functions. We prove (i) if the differential equation, has a polynomial solution of degree n > 0, then δn =… (More)

- Gary Wu, Teena C Abraham, Jonathan H Rapp, Fabienne L Vastey, Nasser Saad, Eric Balmir
- International journal of antimicrobial agents
- 2011

With a decreasing pipeline of novel antibiotics and increasing antibacterial resistance, the need to optimise the current antibiotics in our armamentarium has become vitally important. Daptomycin is… (More)

Abstract: The generalized hypergeometric function qFp is a power series in which the ratio of successive terms is a rational function of the summation index. The Gaussian hypergeometric functions 2F1… (More)

We apply the asymptotic iteration method (AIM) [J. Phys. A: Math. Gen. 36, 11807 (2003)] to solve new classes of second-order homogeneous linear differential equation. In particular, solutions are… (More)

The asymptotic iteration method is used to find exact and approximate solutions of Schrödinger’s equation for a number of one-dimensional trigonometric potentials (sine-squared, double-cosine,… (More)