Analysis of design strategy and its application of the gamma function in teaching
As a special function in the improper integral,the gamma function extends the factorial operation to real number and complex number fields,which is an unavoidable knowledge point in the teaching of mathematics.In teaching process,the explanation of the gamma function is only involved in improper integrals,with little time to analyze its spe-cific properties and applications,and the students are also prone to overlook the application of the gamma function in learning process.To address this issue,on the basis of introducing the relevant concepts of the gamma function and the properties,this paper focused on discussing and analyzing the specific applications of the gamma function in the fields of calculus,probability theory and mathematical statistics,physics,engineering and economics,and proposed the design strategy in teaching based on the characteristics and applications of the gamma function.Finally,the advantages and limi-tations of the gamma function and potential applications in other fields were briefly analyzed.
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