广义q-导数算子的构造
Construction of the generalised q-derivative operators
摘要：
本研究涉及一类广义变形导数算子的构造，它们提供了熟悉的有限差分和q-导数作为特殊情况。该过程涉及到一个线性算子，这是一个实变量的函数乘法的介绍。一般处方的有效性是通过考虑适当的例子，这样的衍生物和明确构建其本征函数。一个特定版本的运营商与一维麦比乌斯变换的关系也建立。
英文摘要：
This investigation pertains to the construction of a class of generalised deformed derivative operators which furnish the familiar finite difference and the q-derivatives as special cases. The procedure involves the introduction of a linear operator which is multiplicative over functions of a real variable. The validity of the general prescriptions is ascertained by considering suitable examples of such derivatives and constructing their eigenfunctions explicitly. The relationship of a particular version of the operator with the one-dimensional Mobius transformation is also established.
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