Frontczak, RobertSrivastava, H.M.Tomovski, Živorad2021-07-312021-07-3120212021Frontczak, R., Srivastava, H. M., & Tomovski, Ž. (2021). Some Families of Apéry-Like Fibonacci and Lucas Series. Mathematics, 9(14), 1-10. https://doi.org/10.3390/math9141621.https://doi.org/10.3390/math9141621http://hdl.handle.net/1828/13195In this paper, the authors investigate two special families of series involving the reciprocal central binomial coefficients and Lucas numbers. Connections with several familiar sums representing the integer-valued Riemann zeta function are also pointed out.enRiemann Zeta functioncentral binomial coefficientCatalan numbersFibonnaci numbersLucas numbersharmonic numbersLerch's transcendent (or the Hurwitz-Lerch zeta function)Some Families of Apéry-Like Fibonacci and Lucas SeriesArticleDepartment of Mathematics and Statistics