COEFFICIENT BOUNDS FOR CERTAIN CLASSES OF ANALYTIC FUNCTIONS
B. S. Mehrok, Deepak Kumar Gupta, Harjinder Singh
Abstract
B. S. Mehrok, Deepak Kumar Gupta, Harjinder Singh
Abstract
Let be the class of functions f(z)=z+∑_(n=2)^∞▒〖a_n z^n 〗 analytic in the unit disc E={z:|z| 0 and Re{(f(z))/(g(z))}>0 respectively. We wish to obtain the sharp upper bounds for the functional |a_2 a_4-a_3^2 |.
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Let be the class of functions f(z)=z+∑_(n=2)^∞▒〖a_n z^n 〗 analytic in the unit disc E={z:|z| 0 and Re{(f(z))/(g(z))}>0 respectively. We wish to obtain the sharp upper bounds for the functional |a_2 a_4-a_3^2 |.
Key concepts: Mathematics, Analytic function, Unit (ring theory), Class (philosophy), Combinatorics, Discrete mathematics, Mathematical analysis, Computer science