标题： 涉及中心二项式系数的进一步级数类 显示英文标题

标题： Further Classes of Series Involving Central Binomial Coefficients

摘要： 从一个分子中含有中心二项式系数并依赖于正整数参数的无限级数类出发，我们首先将已知恒等式扩展到所有复数参数。 然后我们使用各种方法，包括指数贝尔多项式和积分表示，进一步扩展这些结果。 在整篇论文中，我们广泛使用了伽马函数和多伽马函数及其性质。 显示英文摘要

摘要： Departing from a class of infinite series with central binomial coefficients in the numerator and depending on a positive integer parameter, we first extend known identities to all complex parameters. Then we use various methods, including exponential Bell polynomials and integral representations, to further extend these results. Throughout the paper, we make extensive use of the gamma and polygamma functions and their properties.