{"title":"Generalized Fractional Integration of the H-Function Involving General Class of Polynomials","authors":"D. Kumar, P. Agarwal, S. Purohit","doi":"10.2004/WJST.V11I12.694","DOIUrl":null,"url":null,"abstract":"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","PeriodicalId":38275,"journal":{"name":"Walailak Journal of Science and Technology","volume":"11 1","pages":"1019-1030"},"PeriodicalIF":0.0000,"publicationDate":"2014-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"23","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Walailak Journal of Science and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2004/WJST.V11I12.694","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Multidisciplinary","Score":null,"Total":0}
引用次数: 23
Abstract
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
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
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