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ABSTRACT The leading asymptotic behaviour of the Humbert functions , , of two variables is found, when the absolute values of the two independent variables become simultaneously large. New integral… Click to show full abstract
ABSTRACT The leading asymptotic behaviour of the Humbert functions , , of two variables is found, when the absolute values of the two independent variables become simultaneously large. New integral representations of these functions are given. These are re-expressed as inverse Laplace transformations and the asymptotics is then found from a Tauberian theorem. Some integrals of the Humbert functions are also analysed.
Keywords:
two variables;
hypergeometric functions;
integral representations;
functions two;
asymptotics hypergeometric;
representations asymptotics
Journal Title: Integral Transforms and Special Functions
Year Published: 2017
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Journal Title: Integral Transforms and Special Functions
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!