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Detection And Approximation Of Function Of Two Variables In High Dimensions, Minzhe Pan
Detection And Approximation Of Function Of Two Variables In High Dimensions, Minzhe Pan
Electronic Theses and Dissertations
This thesis originates from the deterministic algorithm of DeVore, Petrova, and Wojtaszcsyk for the detection and approximation of functions of one variable in high dimensions. We propose a deterministic algorithm for the detection and approximation of function of two variables in high dimensions.
Asymptotic Formulas For Large Arguments Of Hypergeometric-Type Functio, Adam Heck
Asymptotic Formulas For Large Arguments Of Hypergeometric-Type Functio, Adam Heck
Electronic Theses and Dissertations
Hypergeometric type functions have a long list of applications in the field of sciences. A brief history is given of Hypergeometric functions including some of their applications. A development of a new method for finding asymptotic formulas for large arguments is given. This new method is applied to Bessel functions. Results are compared with previously known methods.