𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Elementary function representations of Schlömilch series

✍ Scribed by Victor Twersky


Publisher
Springer
Year
1961
Tongue
English
Weight
437 KB
Volume
8
Category
Article
ISSN
0003-9527

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


On certain Schlömilch-type series
✍ Allen R. Miller 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 781 KB

USitig 8 form of the Poisson summation formula together with a generalization due to Srivastava and Exton of the discottfirtusnt~ integral of Weber and Schatheitlin and the (heretofore not readily available) cosine transform of the hypergeometric function #a[-b2t2] (b > 0), several new Schliimilch a

On some series representations of the Hu
✍ Mark W. Coffey 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 153 KB

A variety of infinite series representations for the Hurwitz zeta function are obtained. Particular cases recover known results, while others are new. Specialization of the series representations apply to the Riemann zeta function, leading to additional results. The method is briefly extended to the