Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4668640 | Arab Journal of Mathematical Sciences | 2012 | 15 Pages |
Abstract
We define a new parameter Ak,n involving Ramanujan's theta-functions Ï(q) and Ï(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 Ï(eâ2nÏ) for any positive real number n in terms of Ak,n and give examples.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Nipen Saikia,