- 期刊
ON COEFFICIENT BOUNDS OF A CERTAIN CLASS p-VALENT λ-SPIRAL FUNCTIONS OF ORDER α
摘要
Let S^λ(A,B,p,α)(|λ|＜π/2, -1≦A＜B≦1 and o≦α＜p), denote the class of functions (The equation is abbreviated) analytic in U={z:|z|＜1}, which satisfy for z=re^(iθ)∈U e^(iλ) secλ zf'(z)/f(z)-ip tan λ=p+[pB+(A-B)(p-α)]w(z)/1+Bw(z), w(z) is analytic in U with w(o)=o and |w(z)|≦|z| for z∈U. In this paper we obtain the bounds of a_n and we maximize|a_(p+2)-μa_(p+1)^2| over the class S^λ(A,B,p,α) for complex values of μ.
延伸閱讀
- OBRADOVIĆ, M., & OWA, S. (1986). ON SOME RESULTS FOR λ-SPIRAL FUNCTIONS OF ORDER α. International Journal of Mathematics and Mathematical Sciences, 1986(), 439-446. https://doi.org/10.1155/S0161171286000571
- OWA, S., AOUF, M., & NASR, M. (1990). NOTE ON CERTAIN SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS OF ORDER α. International Journal of Mathematics and Mathematical Sciences, 1990(), 189-192. https://doi.org/10.1155/S0161171290000278
- Murugusundaramoorthy, G., Magesh, N., & Prameela, V. (2013). Coefficient Bounds for Certain Subclasses of Bi-Univalent Function. Abstract and Applied Analysis, 2013(), 99-101-710. https://doi.org/10.1155/2013/573017
- AOUF, M. (1989). BOUNDED SPIRAL-LIKE FUNCTIONS WITH FIXED SECOND COEFFICIENT. International Journal of Mathematics and Mathematical Sciences, 1989(), 113-118. https://doi.org/10.1155/S0161171289000153
- Tehranchi, A., & Kiliçman, A. (2010). On Certain Classes of p-Valent Functions by Using Complex-Order and Differential Subordination. International Journal of Mathematics and Mathematical Sciences, 2010(), 197-208. https://doi.org/10.1155/2010/275935