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Line 4: * '''Tricomi's (confluent hypergeometric) function''' {{math\|''U''(''a'', ''b'', ''z'')}} introduced by {{harvs\|txt\|authorlink=Francesco Tricomi\|first=Francesco\|last=Tricomi\|year=1947}}, sometimes denoted by {{math\|Ψ(''a''; ''b''; ''z'')}}, is another solution to Kummer's equation. This is also known as the confluent hypergeometric function of the second kind. * '''[[Whittaker function]]s''' (for [[Edmund Taylor Whittaker]]) are solutions to '''Whittaker's equation'''. * '''[[Coulomb wave function]]s''' are solutions to the '''Coulomb wave equation'''. The Kummer functions, Whittaker functions, and Coulomb wave functions are essentially the same, and differ from each other only by elementary functions and change of variables. ==Kummer's equation==

Confluent hypergeometric function: Difference between revisions