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A Theorem Connecting the H-Transform and Fractional Integral Operators Involving the Multivariable H-Function

並列摘要


In the present paper, we first establish a general theorem that gives the image of a modified H-transform in the fractional integral operator involving the multivariable H-function. Next, we deduce two important corollaries involving Wright generalized Bessel function, Mittag-Leffler function, Appell function F1 and the product of Whittaker functions which are also quite general in nature and of interest by themselves. Several other new and known results can also be obtained from our main theorem. We record here exact reference to one such known result.

被引用紀錄


Lin, C. H. (2008). 電子系統層級上之設計H.264編碼系統於單晶片網路系統平台 [master's thesis, National Central University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0031-0207200917351807
Huang, C. C. (2010). Novel Cathodic Deposition of TiO2 Thin Film: Deposition Mechanism, Material Characterization, and Morphology Control [master's thesis, National Tsing Hua University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0016-1901201111395039

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