Open AccessA new form of the quintuple product identity and its application
Author(s) -
Bhaskar Srivastava
Publication year - 2017
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1707869s
Subject(s) - mathematics , identity (music) , simple (philosophy) , product (mathematics) , ramanujan's sum , pure mathematics , algebra over a field , epistemology , geometry , aesthetics , philosophy
We give a new form of the quintuple product identity. As a direct application of this new form a simple proof of known identities of Ramanujan and also new identities for other well known continued fractions are given. We also give and prove a general identity for $(q^{3m};q^{3m})_{\infty}$.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom