Application of uniform asymptotics to the connection formulas of the fifth Painleve equation

作者：Zeng, Zhao-Yun; Zhao, Yu-Qiu^*

来源：APPLICABLE ANALYSIS, 2016, 95(2): 390-404.

DOI：10.1080/00036811.2015.1004322

• connection formula
• uniform asymptotics
• the fifth Painleve transcendent
• parabolic cylinder function
• Bessel function

We apply the uniform asymptotics method proposed by Bassom et al. to a special Painleve V equation, and we provide a simpler and more rigorous proof of the connection formulas for a special solution of the equation, which have been established earlier by McCoy and Tang via the isomonodromy and WKB methods.

• 出版日期2016-2-1
• 单位中山大学