Result: A cubic and a quintic summation formula

Title:
A cubic and a quintic summation formula
Authors:
Rahman, Mizan
Publisher Information:
Bharata Ganita Parisad c/o University of Lucknow, Department of Mathematics \& Astronomy, Lucknow, Uttar Pradesh, India
Subject Terms:
Generalized basic hypergeometric series, theorem, Basic hypergeometric functions in one variable, \({}_r\phi_s\), \(q\)-binomial, summation formula, basic hypergeometric series, Basic hypergeometric integrals and functions defined by them
Document Type:
Academic journal Article
File Description:
application/xml
Access URL:
https://zbmath.org/809259
Accession Number:
edsair.c2b0b933574d..25585d414e0dc7a0a6ac181e24ea56dd
Database:
OpenAIRE

Further Information

The author explores the \(q\)-binomial formula \[ \sum^\infty_{n = 0} {(a;q)_n \over (q; q)_n} z^n = {(az; a)_\infty \over (z; q)_\infty}, \quad |q |< 1, \] \(|z |< 1\) to obtain a number of known and new results including Andrew's cubic summation formula and a quintic formula.