The determination of thermodynamic properties such as entropy, energy, pressure, free energy and etc. is very important for all fields of thermodynamic physics. Also giving reliable analytical formulas for evaluating thermodynamic properties of relativistic ideal gases is essential. One of the way of solving thermodynamic properties of ideal Fermi and Bose Gases is determining the expression of pressure integral. In this study we have presented a new computational method for the evaluation of the pressure term of the relativistic ideal Fermi and Bose gases. The purposed method shows that obtained analytically series expansions works for any values of parameters at high temperatures.

对热力学性质如熵，能量，压力，自由能等的确定对于热力学物理学的所有领域都非常重要。还必须提供可靠的分析公式来评估相对论理想气体的热力学性质。解决理想费米气体和玻色气体的热力学性质的一种方法是确定压力积分的表达式。在这项研究中，我们提出了一种新的计算方法，用于评估相对论理想费米气体和玻色气体的压力项。目的方法表明，获得的解析级数展开适用于高温下的任何参数值。