Multidimensional modified fractional calculus operators involving a general class of polynomials

被引:0
作者
S. P. Goyal
Tariq O. Salim
机构
[1] University of Rajasthan,Department of Mathematics
来源
Proceedings of the Indian Academy of Sciences - Mathematical Sciences | 1998年 / 108卷
关键词
Fractional calculus operators; Mellin transform; general class of polynomials; H-function;
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中图分类号
学科分类号
摘要
In the present work, we introduce and study essentially a class of multi-dimensional modified fractional calculus operators involving a general class of polynomials in the kernel. These operators are considered in the space of functionsMγ(R+n). Some mapping properties and fractional differential formulas are obtained. Also images of some elementary and special functions are established.
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页码:273 / 282
页数:9
相关论文
共 12 条
[1]  
Fox C(1961)The G and H-functions as symmetrical Fourier kernels Trans. Am. Math. Soc. 98 395-429
[2]  
Raina R K(1996)A note on multidimensional modified fractional calculus operators Proc. Indian Acad. Sci (Math. Sci.) 106 155-162
[3]  
Raina R K(1977)Fractional derivatives of the H-function Jñānabha 7 97-105
[4]  
Koul C L(1981)On Weyl fractional Calculus and H-function transform Kyngpook Math. J. 21 275-279
[5]  
Raina R K(1972)A contour integral involving Fox’s H-function Indian J. Math. 14 1-6
[6]  
Koul C L(1985)A class of convolution integral equations J. Math. Anal. Appl. 108 63-72
[7]  
Srivastava H M(1993)Multidimensional modified fractional calculus operators Math. Nachr. 161 253-270
[8]  
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