Asymptotic analysis via calculus of hypergeometric functions

作者：Blaschke Petr^*

来源：Journal of Mathematical Analysis and Applications, 2016, 433(2): 1790-1820.

DOI：10.1016/j.jmaa.2015.08.066

• Asymptotic analysis
• Special functions
• Hypergeometric functions

The generalized hypergeometric function satisfies many identities or "transforms" which can be used to establish their asymptotic behavior for large argument and even, in some cases, for large parameters. We will show that using just three transforms alone, valid for a large class of multivariate hypergeometric functions, we can use a similar "calculus" to compute asymptotic expansions even in higher dimensions.

• 出版日期2016-1-15