[1]成立社,王社宽..复杂特型函数高阶导数与原函数统一性的推广[J].郑州大学学报(工学版),2005,26(04):107-109.[doi:10.3969/j.issn.1671-6833.2005.04.027]
　Establishment of a society,Wang Shekuan.Generalization of the unity of higher-order derivatives and original functions of complex special functions[J].Journal of Zhengzhou University (Engineering Science),2005,26(04):107-109.[doi:10.3969/j.issn.1671-6833.2005.04.027]

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复杂特型函数高阶导数与原函数统一性的推广()

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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

26

期数:

2005年04期

页码:

107-109

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

Generalization of the unity of higher-order derivatives and original functions of complex special functions

作者:

成立社; 王社宽.

郑州大学数学系,河南,郑州,450000, 陕西科技大学理学院,陕西,咸阳,712081

Author(s):

Establishment of a society; Wang Shekuan

关键词:

高阶导数;  原函数;  统一性;  推广

Keywords:

higher-order derivatives;  Original function;  uniformity;  Promotion

DOI:

10.3969/j.issn.1671-6833.2005.04.027

文献标志码:

A

摘要:

把文献[1]中所研究的高阶导数与原函数的统一性公式,利用数学归纳法推广到了结构更为复杂的特型函数中,获得了比文献[1]应用更为广泛的结果.研究结果表明:高阶导数与原函数这对互逆运算在一些复杂特型函数中可实现统一;利用该结果仅需通过分析该类复杂特型函数的导数与其自身的结构特征,不需做分析运算,即可快速的获得用同一个公式表示该类复杂特型函数的高阶导数与原函数的结果.

Abstract:

The unified formula of the higher-order derivative and the original function studied in literature [1] is extended to the special function with a more complex structure by mathematical induction, and more widely used results than those in literature [1]. The results show that the inverse operation of the higher-order derivative and the original function can be unified in some complex special functions. By using this result, you only need to analyze the derivative of this complex special function and its own structural characteristics, and you can quickly obtain the results of the higher-order derivative and original function representing the complex special function with the same formula without analysis.

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