TY  - JOUR
AU  - Cvijović, Đurđe
AU  - Srivastava, H. M.
PY  - 2009
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3717
AB  - We examine the Landau constants defined by G(n) := Sigma(n)(m=0) 1/2(4m) ((m) (2m))(2) (n = 0, 1, 2, . . .) by making use of the celebrated Ramanujan formula expressing Gn in terms of the Clausenian (3)F(2) hypergeometric series. It is shown that it could be used to deduce other, mostly new, Ramanujan type formulas for the Landau constants involving the terminating and non-terminating hypergeometric series. In addition, by this approach we derive once again, in a simple and unified manner, almost all of the known results and also establish several new results for G(n). These new results include (for example) the generating function and asymptotic expansions and estimates for G(n).
T2  - Taiwanese Journal of Mathematics / TJM
T1  - Asymptotics of the Landau Constants and Their Relationship with Hypergeometric Functions
VL  - 13
IS  - 3
SP  - 855
EP  - 870
DO  - 10.11650/twjm/1500405444
ER  - 

@article{
author = "Cvijović, Đurđe and Srivastava, H. M.",
year = "2009",
abstract = "We examine the Landau constants defined by G(n) := Sigma(n)(m=0) 1/2(4m) ((m) (2m))(2) (n = 0, 1, 2, . . .) by making use of the celebrated Ramanujan formula expressing Gn in terms of the Clausenian (3)F(2) hypergeometric series. It is shown that it could be used to deduce other, mostly new, Ramanujan type formulas for the Landau constants involving the terminating and non-terminating hypergeometric series. In addition, by this approach we derive once again, in a simple and unified manner, almost all of the known results and also establish several new results for G(n). These new results include (for example) the generating function and asymptotic expansions and estimates for G(n).",
journal = "Taiwanese Journal of Mathematics / TJM",
title = "Asymptotics of the Landau Constants and Their Relationship with Hypergeometric Functions",
volume = "13",
number = "3",
pages = "855-870",
doi = "10.11650/twjm/1500405444"
}

Cvijović, Đ.,& Srivastava, H. M.. (2009). Asymptotics of the Landau Constants and Their Relationship with Hypergeometric Functions. in Taiwanese Journal of Mathematics / TJM, 13(3), 855-870.
https://doi.org/10.11650/twjm/1500405444

Cvijović Đ, Srivastava HM. Asymptotics of the Landau Constants and Their Relationship with Hypergeometric Functions. in Taiwanese Journal of Mathematics / TJM. 2009;13(3):855-870.
doi:10.11650/twjm/1500405444 .

Cvijović, Đurđe, Srivastava, H. M., "Asymptotics of the Landau Constants and Their Relationship with Hypergeometric Functions" in Taiwanese Journal of Mathematics / TJM, 13, no. 3 (2009):855-870,
https://doi.org/10.11650/twjm/1500405444 . .