Abstract. The aim of this paper is to extend a number of transformation formulas for the four X 4 , X 5 , X 7 , and X 8 among twenty triple hypergeometric series X1 to X20 introduced earlier by Exton. The results are derived from the generalized Kummer's theorem and Dixon's theorem obtained earlier by Lavoie et al..

This study aimed to investigate the home environment conditions of the elderly living in the community and to confirm the needs of the residential environment. This study was conducted from January 15th to 25th, 2018, in 12 elderly households in Chungcheongnam-do, using a structured questionnaire and a home environment checklist. The elderly did not feel uncomfortable with their current home, but they wanted to modify their home environment to improve their quality of life. Investigation using home environment checklists showed that demands for supportive design were lacking in the overall areas. On the results of this study, it was confirmed that it is essential to reflect the residents’ occupation, physical characteristics, and needs when constructing the home environment for the healthy life of the elderly in the community.