请输入您要查询的字词:

 

单词 q-Analog
释义

q-Analog

A -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


References

Exton, H. -Hypergeometric Functions and Applications. New York: Halstead Press, 1983.


随便看

 

数学辞典收录了8975条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2024/11/15 3:18:31