涉及一般多项式类的h函数的广义分数积分

Q3 Multidisciplinary

Walailak Journal of Science and Technology Pub Date : 2014-01-20 DOI:10.2004/WJST.V11I12.694

D. Kumar, P. Agarwal, S. Purohit

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引用次数: 23

摘要

在本文中，我们考虑在核中包含apell函数f3的2个积分变换。他们推广了Saigo(1978)给出的分数阶积分算子。证明了这类广义分数阶积分与-函数与一般多项式之积复合的公式。结果是根据Inayat-Hussain (1987(a)， 1987(b))的-函数建立的。本文所得结果是文献所得结果的推广。doi: 10.14456 / WJST.2014.57

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Generalized Fractional Integration of the H-Function Involving General Class of Polynomials

In the present paper, we consider 2 integral transforms involving the Appell function F 3 in the kernels. They generalize the fractional integral operators given by Saigo (1978). Formulas for compositions of such generalized fractional integrals with the product of the -function and a general class of polynomials are proved. The results are established in terms of -function due to Inayat-Hussain (1987(a), 1987(b)). The obtained results of this paper provide an extension of the results given by the literature. doi: 10.14456/WJST.2014.57

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来源期刊

Walailak Journal of Science and Technology Multidisciplinary-Multidisciplinary

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

24 weeks

期刊介绍： The Walailak Journal of Science and Technology (Walailak J. Sci. & Tech. or WJST), is a peer-reviewed journal covering all areas of science and technology, launched in 2004. It is published 12 Issues (Monthly) by the Institute of Research and Innovation of Walailak University. The scope of the journal includes the following areas of research : - Natural Sciences: Biochemistry, Chemical Engineering, Chemistry, Materials Science, Mathematics, Molecular Biology, Physics and Astronomy. -Life Sciences: Allied Health Sciences, Biomedical Sciences, Dentistry, Genetics, Immunology and Microbiology, Medicine, Neuroscience, Nursing, Pharmaceutics, Psychology, Public Health, Tropical Medicine, Veterinary. -Applied Sciences: Agricultural, Aquaculture, Biotechnology, Computer Science, Cybernetics, Earth and Planetary, Energy, Engineering, Environmental, Food Science, Information Technology, Meat Science, Nanotechnology, Plant Sciences, Systemics