Some Applications of the(f, g)-Inversion  

作　　者：Yanping MU Xiaozhou TONG 

机构地区：[1]College of Science, Tianjin University of Technology

出　　处：《Journal of Mathematical Research with Applications》2019年第5期441-452,共12页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.11471244; 11771330)

摘　　要：We present three kinds of applications of the (f,g)-inversion due to Ma. By taking explicit functions and sequences in the (f,g)-inversion, we derive identities involving hypergeometric series and harmonic numbers. Then we give several inversion relations involving q-hypergeometric terms. Finally, we combine the (f,g)-inversion and the q-differential operators to derive some q-series identities.We present three kinds of applications of the(f, g)-inversion due to Ma. By taking explicit functions and sequences in the(f, g)-inversion, we derive identities involving hypergeometric series and harmonic numbers. Then we give several inversion relations involving q-hypergeometric terms. Finally, we combine the(f, g)-inversion and the q-differential operators to derive some q-series identities.

关 键 词：matrix INVERSION (f g)-inversion HYPERGEOMETRIC SERIES basic HYPERGEOMETRIC SERIES q-differential OPERATOR 

分 类 号：O1[理学—数学]