单词 | q-Analog |
释义 | q-AnalogA -analog, also called a q-Extension or q-Generalization, is a mathematical expression parameterized by a quantity which generalizes a known expressionand reduces to the known expression in the limit . There are -analogs of the Factorial,Binomial Coefficient, Derivative, Integral, Fibonacci Numbers, andso on. Koornwinder, Suslov, and Bustoz, have even managed some kind of -Fourier analysis. The -analog of a mathematical object is generally called the ``-object'', hence q-Binomial Coefficient, q-Factorial, etc. There are generally several-analogs if there is one, and there is sometimes even a multibasic analog with independent , , .... See also d-Analog, q-Beta Function, q-Binomial Coefficient, q-Binomial Theorem,q-Cosine, q-Derivative, q-Factorial, q-Gamma Function, q-Series,q-Sine, q-Vandermonde Sum
Exton, H. -Hypergeometric Functions and Applications. New York: Halstead Press, 1983. |
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