- 期刊
A GENERALIZED MEIJER TRANSFORMATION
並列摘要
In a series of papers [1-6], Kratzel studies a generalized version of the classical Meijer transformation with the Kernel function (st)^νŋ (q, ν+1; (st)^q). This transformation is referred to as GM transformation which reduces to the classical Meijer transform when q = 1. He also discussed a second generalization of the Meijer transform involving the Kernel function λ_ν^(n)(x) which reduces to the Meijer function when n=2 and the Laplace transform when n = 1. This is called the Meijer-Laplace (or ML) transformation. This paper is concerned with a study of both GM and ML transforms in the distributional sense. Several properties of these transformations including inversion, uniqueness, and analyticity are discussed in some detail.
延伸閱讀
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- 李木妙（2003）。From the traditional to the modern〔博士論文，香港大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0029-1812201200017184
- Tian, R. (2009). Development and transformation [doctoral dissertation, The University of Hong Kong]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0029-1812201200015484
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