• Ramanujan-type formulae for 1/...

Treffer: Ramanujan-type formulae for 1/: q-analogues

Title:
Ramanujan-type formulae for 1/: q-analogues
Authors:
Guo, Victor J. W., Zudilin, Wadim
Contributors:
The University of Newcastle. Faculty of Science, School of Mathematical and Physical Sciences
Publisher Information:
Taylor & Francis
Publication Year:
2018
Collection:
NOVA: The University of Newcastle Research Online (Australia)
Subject Terms:
1/π, Ramanujan, q-analogue, WZ pair, basic hypergeometric function, (super)congruence
Document Type:
Fachzeitschrift article in journal/newspaper
Language:
English
Relation:
Integral Transforms and Special Functions Vol. 29, Issue 7, p. 505-513; http://hdl.handle.net/1959.13/1440946; uon:41268
Availability:
http://hdl.handle.net/1959.13/1440946
Accession Number:
edsbas.A491E4DD
Database:
BASE

Weitere Informationen

The hypergeometric formulae designed by Ramanujan more than a century ago for efficient approximation of π, Archimedes' constant, remain an attractive object of arithmetic study. In this note we discuss some q-analogues of Ramanujan-type evaluations and of related supercongruences.