Article ID Journal Published Year Pages File Type
4668640 Arab Journal of Mathematical Sciences 2012 15 Pages PDF
Abstract
We define a new parameter Ak,n involving Ramanujan's theta-functions ϕ(q) and ψ(q) for any positive real numbers k and n and study its several properties. We also prove some general theorems for the explicit evaluations of the parameter Ak,n and find many explicit values. Finally, we establish an explicit formula for values of ψ(e−2nπ) for any positive real number n in terms of Ak,n and give examples.
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Authors
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