A NOTE ON THE IDENTITY OPERATORS OF FRACTIONAL CALCULUS

被引：0

作者：

RAINA, RK ^{[1
]}

机构：

[1] COLL TECHNOL & AGR ENGN,DEPT MATH,UDAIPUR 313001,INDIA

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 1992年 / 102卷 / 02期

关键词：

FRACTIONAL CALCULUS OPERATORS; IDENTITY OPERATOR; RIEMANN-LIOUVILLE OPERATORS; GAUSS HYPERGEOMETRIC FUNCTION;

D O I：

10.1007/BF02836785

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The application of an identity operator for Saigo's fractional calculus operators is shown by evaluating the limit of an indeterminate form. Its special case yields the result which has been used as an infinitesimal generator in the semigroup theory. Also, an identity operator for the recently introduced multi-dimensional fractional operators (due to Srivastava and Raina [8]) is discussed.

引用

页码：141 / 146

页数：6

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