Alternating series in terms of Riemann zeta function and Dirichlet beta function
Author:
Affiliation:
1. School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou, China
2. Via Dalmazio Birago 9/E, Lecce 73100, Italy
Abstract
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference10 articles.
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2. G. Bretti, C. Cesarano, P. E. Ricci, Laguerre-type exponentials and generalized Appell polynomials, Comput. Math. Appl., 48 (2004), 833–839. https://doi.org/10.1016/j.camwa.2003.09.031
3. E. Guariglia, Fractional calculus, zeta functions and Shannon entropy, Open Math. 19 (2021), 87–100. https://doi.org/10.1515/math-2021-0010
4. S. D. Lin, H. M. Srivastava, Some families of the Hurwitz-Lerch Zeta functions and associated fractional derivative and other integral representations, Appl. Math. Comput., 154 (2004), 725–733 https://doi.org/10.1016/S0096-3003(03)00746-X
5. , W. Ramírez, D. Bedoya, A. Urieles, C. cesarano, M. Ortega, New $U$-Bernoulli, $U$-Euler and $U$-Genocchi polynomials and their matrices, Carpathian Math. Publ., 15 (2023), 449–467 https://doi.org/10.15330/cmp.15.2.449-467
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