On a Class of Parameter Dependent Series Generalizing Euler’s Constant

Authors

Paul Bracken, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

2019

Abstract

Series which depend on a parameter and generalize the constant discovered by Euler are introduced and studied. Convergence results are established. An infinite series expansion is obtained from these generalized formulas which can be used to evaluate the generalized constant. Euler’s constant can be obtained as a special case. Some asymptotic results are formulated and limits of some closely related sequences are given.

Comments

Copyright 2019 EJPAM.

Recommended Citation

Bracken, P. (2019). On Some Series Dependent on a Parameter Which Generalize Euler’s Constant. European Journal of Pure and Applied Mathematics, 12(1), 1-13. doi:https://doi.org/10.29020/nybg.ejpam.v12i1.3346

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Publication Title

European Journal of Pure and Applied Mathematics

DOI

10.29020/nybg.ejpam.v12i1.3346