the objective of this paper is applying the well-known exact operational matrices (eoms) idea for solving the emden-fowler equations, illustrating the superiority of eoms over ordinary operational matrices (ooms). up to now, a few studies have been conducted on eoms ; but the solved differential equations did not have high-degree nonlinearity and the reported results could not strongly show the...

Herein, the canonical Fowler-Nordheim theory is extended by computing zero-temperature transmission probability for more general case of a barrier described fractional power law. An exact analytical formula derived, written in terms Gauss hypergeometric functions, that fully capture this generalized problem, including screened interaction with image potential. First, quality approximation again...