TY - GEN
T1 - The class of alpha-convex functions
AU - Fitri, Sa'adatul
N1 - Publisher Copyright:
© 2017 Author(s).
PY - 2017/12/5
Y1 - 2017/12/5
N2 - Let f be analytic in D = {z: |z| < 1} with f(z)=z+n=2 anzn. For any real number α, M(α) is the class of alpha-convex, or so-called Ma-Minda functions. By used the definitions of Ma-Minda functions, we get two results. The first, if f is starlike and there is α >1 such that fM(α), then f is convex. The second, if f is starlike and not convex, then fM(α) for all α < 0.
AB - Let f be analytic in D = {z: |z| < 1} with f(z)=z+n=2 anzn. For any real number α, M(α) is the class of alpha-convex, or so-called Ma-Minda functions. By used the definitions of Ma-Minda functions, we get two results. The first, if f is starlike and there is α >1 such that fM(α), then f is convex. The second, if f is starlike and not convex, then fM(α) for all α < 0.
UR - https://www.scopus.com/pages/publications/85037836392
U2 - 10.1063/1.5016643
DO - 10.1063/1.5016643
M3 - Conference contribution
AN - SCOPUS:85037836392
T3 - AIP Conference Proceedings
BT - International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017
A2 - Kilicman, Adem
A2 - Marjono, null
A2 - Wibowo, Ratno Bagus Edy
A2 - Imron, Moch. Aruman
PB - American Institute of Physics Inc.
T2 - International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017
Y2 - 2 August 2017 through 3 August 2017
ER -