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Abstract

We prove three theorems on Wilson functions (these special functions were introduced by Groenevelt in 2003). These theorems were stated without proof and applied for the proof of a summation formula related to automorphic forms in our paper [2].

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Abstract

Knowledge flow between public and private sectors is widely recognized as a way to stimulate innovation and regional development, particularly in science parks. This work employs a bibliometric approach, based on patent citation, non-patent citation, and public–private co-authorship of scientific publications to measure the use of public research in Hsinchu Science Park (HSP) in Taiwan. The result shows that the number of jointly published papers has increased constantly, implying the collaboration between HSP and universities has become more common. However, from the aspect of co-patenting, patent citation, and non-patent reference, technological innovation stemming from public research needs to be enhanced.

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