A note on four-variable reciprocity theorem
type: Item
instance of: scholarly article
title: A note on four-variable reciprocity theorem
zbMATH Open document ID: 1264.33020
DOI: 10.1155/2009/370390
author: Chandrashekar Adiga
author: P. S. Guruprasad
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2010-04-20T00:00:00Z
review text: Summary: We give new proof of a four-variable reciprocity theorem using Heine's transformation, Watson's transformation, and Ramanujan's \(_1\Psi_1\)-summation formula. We also obtain a generalization of Jacobi's triple product identity.
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 05A30
Mathematics Subject Classification ID: 11B65
zbMATH DE Number: 5695207
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2009/370390
OpenAlex ID: W2134280974
Wikidata QID: Q58648440
cites work: Q4040264
cites work: Generalizations of Ramanujan's reciprocity theorem and their applications
cites work: Ramanujan's ``lost'' notebook. I: Partial Theta-functions
cites work: Ramanujan's ''lost'' notebook. V: Euler's partition identity
cites work: Q4471187
cites work: Q4000402
cites work: Q4222737
cites work: Q4828543
cites work: A reciprocity theorem for certain \(q\)-series found in Ramanujan's lost notebook
cites work: Q4040189
cites work: Q4652198
cites work: Q3591712
cites work: Q3507071
cites work: Shorter Notes: A Simple Proof of Ramanujan's 1 Ψ 1 Sum
cites work: Chapter 16 of Ramanujan’s second notebook: theta-functions and 𝑞-series
cites work: Q3534542
cites work: Q3224565
cites work: Six-variable generalization of Ramanujan's reciprocity theorem and its variants
cites work: Shorter Notes: A Simple Proof of Jacobi's Triple Product Identity
cites work: An Enumerative Proof of An Identity of Jacobi
cites work: Vector Partitions and Combinatorial Identities
cites work: Two Enumerative Proofs of an Identity of Jacobi
cites work: Q3856819
cites work: A Simple Proof of Jacobi's Two-Square Theorem
cites work: A Simple Proof of Jacobi's Four-Square Theorem
cites work: Q3154659
DBLP publication ID: journals/ijmmsc/AdigaP09
description: scientific article; zbMATH DE number 5695207