On Some Series Dependent on a Parameter Which Generalize Euler’s Constant

Authors

  • Paul Bracken University of Texas

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i1.3346

Keywords:

Euler’s constant, sequence, series, convergence, asymptotic

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 at the end.

Author Biography

  • Paul Bracken, University of Texas
    Mathematics/Physics

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Published

2019-01-31

Issue

Vol. 12 No. 1: (January 2019)

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

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