Explicate 发表于 2025-3-23 11:28:31
http://reply.papertrans.cn/87/8655/865445/865445_11.pngPriapism 发表于 2025-3-23 16:29:05
Book 2017pecial functions, such as Struve and von Lommel functions. The aim is also to find the coefficients of the Neumann and Kapteyn series, as well as closed-form expressions and summation formulas for the series of Bessel functions considered. Some integral representations are deduced using techniques fcutlery 发表于 2025-3-23 20:40:28
http://reply.papertrans.cn/87/8655/865445/865445_13.png法律 发表于 2025-3-23 22:41:08
Neumann Series,ified Bessel functions of the first and second kind. In order to achieve our goal we use several methods: the Euler–Maclaurin summation technique, differential equation technique, fractional integration technique. Moreover, we present some interesting results on the coefficients of Neumann series, pCHIDE 发表于 2025-3-24 06:03:21
,Schlömilch Series,functions of the second kind. Closed expressions for some special Schlömilch series together with their connection to Mathieu series are also investigated. The chapter ends with an integral representation formula for number theoretical summation by Popov, which also covers the theta-transform identi温和女人 发表于 2025-3-24 08:49:48
Miscellanea,nctions family (Bessel functions of the first and second kind, modified Bessel functions of the first and second kind, Struve functions, modified Struve functions etc.). In Sects. 5.7–5.9 we consider Dini series and Jacobi polynomials, respectively. Next section is devoted to summations of Schlömilc起波澜 发表于 2025-3-24 14:45:24
http://reply.papertrans.cn/87/8655/865445/865445_17.png占卜者 发表于 2025-3-24 16:19:00
http://reply.papertrans.cn/87/8655/865445/865445_18.png调味品 发表于 2025-3-24 20:21:30
http://reply.papertrans.cn/87/8655/865445/865445_19.png无法解释 发表于 2025-3-25 00:31:24
,Schlömilch Series,ated. The chapter ends with an integral representation formula for number theoretical summation by Popov, which also covers the theta-transform identity coming from functional equation for the Epstein Zeta function.