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A new proof of the Askey–Wilson integral via a five-variable Ramanujan’s reciprocity theorem
- Source :
- The Ramanujan Journal. 24:61-65
- Publication Year :
- 2010
- Publisher :
- Springer Science and Business Media LLC, 2010.
-
Abstract
- In this paper, we give an easy and short proof of the well-known Askey–Wilson integral by means of the five-variable Ramanujan’s reciprocity theorem.
- Subjects :
- Algebra and Number Theory
High Energy Physics::Lattice
Ramanujan summation
Mathematics::Classical Analysis and ODEs
Ramanujan's master theorem
Askey–Wilson polynomials
Ramanujan's sum
Eisenstein reciprocity
Algebra
Ramanujan theta function
symbols.namesake
symbols
Ramanujan tau function
Ramanujan prime
Mathematics
Subjects
Details
- ISSN :
- 15729303 and 13824090
- Volume :
- 24
- Database :
- OpenAIRE
- Journal :
- The Ramanujan Journal
- Accession number :
- edsair.doi...........88f2a411e9291d85587b9c734266b09d
- Full Text :
- https://doi.org/10.1007/s11139-010-9221-x