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The method for the evaluation of the non-resonant thermonuclear function inthe Maxwell-Boltzmann case with depleted tail is discussed. Closed forms of theanalytical results are obtained in computational format, and written in termsof the H-function in two variables. The standard non-resonant cases areextended to Tsallis reaction rates through the pathway model. Behavior of thedepleted non-resonant thermonuclear function is studied. A comparison of theMaxwell-Boltzmann energy distribution with a more general energy distributioncalled pathway energy distribution is also done.

Analytic representations of standard and extended non-resonant thermonuclear functions with depleted tail through the pathway model