On the transcendence of some power series
In this study, we consider some power series with rational coefficients and investigate transcendence of the values of these series for Liouville number arguments. It is proved that these values are either a Liouville number or a rational number under certain conditions.
محفوظ في:
| المؤلفون الرئيسيون: | , , |
|---|---|
| التنسيق: | مقال |
| اللغة: | English English |
| منشور في: |
Springer
2013
|
| الوصول للمادة أونلاين: | http://psasir.upm.edu.my/id/eprint/30137/1/On%20the%20transcendence%20of%20some%20power%20series.pdf http://psasir.upm.edu.my/id/eprint/30137/ http://www.advancesindifferenceequations.com/content/2013/January/2013 |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| الملخص: | In this study, we consider some power series with rational coefficients and investigate transcendence of the values of these series for Liouville number arguments. It is proved that these values are either a Liouville number or a rational number under certain conditions. |
|---|