33 research outputs found
Logarithmic Generalization of the Lambert W function and its Applications to Adiabatic Thermostatics of the Three-Parameter Entropy
A generalization of the Lambert W function called the logarithmic Lambert
function is found to be a solution to the thermostatics of the three-parameter
entropy of classical ideal gas in adiabatic ensembles. The derivative,
integral, Taylor series, approximation formula and branches of the function are
obtained. The thermostatics are computed and the heat functions are expressed
in terms of the logarithmic Lambert function.Comment: arXiv admin note: text overlap with arXiv:1210.5499 by other author
Asymptotic Estimates for Second Kind Generalized Stirling Numbers
Asymptotic formulas for the generalized Stirling numbers of the second kind with integer and real parameters are obtained and ranges of validity of the formulas are established. The generalizations of Stirling numbers considered here are generalizations along the line of Hsu and Shuie's unified generalization