Confluent hypergeometric function

In mathematics, a confluent hypergeometric function is a solution of a confluent hypergeometric equation, which is a degenerate form of a hypergeometric differential equation where two of the three regular singularities merge into an irregular singularity. (The term confluent refers to the merging of singular points of families of differential equations; confluere is Latin for 'to flow together'.) There are several common standard forms of confluent hypergeometric functions: In mathematics, a confluent hypergeometric function is a solution of a confluent hypergeometric equation, which is a degenerate form of a hypergeometric differential equation where two of the three regular singularities merge into an irregular singularity. (The term confluent refers to the merging of singular points of families of differential equations; confluere is Latin for 'to flow together'.) There are several common standard forms of confluent hypergeometric functions: