TY - JOUR
TI - On Some Series Dependent on a Parameter Which Generalize Eulerâ€™s Constant
PY - 2019/01/31
Y2 - 2024/11/14
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 12
IS - 1
LA - en
DO - 10.29020/nybg.ejpam.v12i1.3346
UR - https://doi.org/10.29020/nybg.ejpam.v12i1.3346
SP - 1-13
AB - 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. Eulerâ€™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.
ER -