Basic Hypergeometric Series

Student: Baltabaev Pavel

Supervisor: Takashi Takebe

Educational Programme: Mathematics (Bachelor)

Final Grade: 9

Year of Graduation: 2020

This paper studies and develops main topics of hypergeometric series for its general- ization, basic hypergeometric series. In particular, we will find the analytic continuation of basic hypergeometric series and prove analogues of Euler and Barnes integral representations. In the final section we will find solutions of basic hypergeo- metric q-difference equation and introduce a q-analogue of the Riemann scheme.

Full text (added May 12, 2020)

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