Certain Integrals Arising from Ramanujan's Notebooks

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2015
• Автори: Berndt, B.C., Straub, A.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2015
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/147147
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Certain Integrals Arising from Ramanujan's Notebooks / B.C. Berndt, A. Straub // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 5 назв. — англ.

In his third notebook, Ramanujan claims the specific. In a following cryptic line, which only became visible in a recent reproduction of Ramanujan's notebooks, Ramanujan indicates that a similar relation exists if logx were replaced by log²x in the first integral and logx were inserted in the...