Coefficient bounds & claims (6)
Machine-extracted from the paper text - useful for cross-referencing, not a verified fact.
coefficient_bound
|a_2| ≤ beta_1 for class \Lambda(\delta,b) [Theorem 1]
coefficient_bound
|a_3| ≤ (beta_1 + delta*(2-delta)*beta_1**2 + |beta_2|) / (1+delta) for class \Lambda(\delta,b) [Theorem 1]
coefficient_bound
FS(tau,f) = |a_3 - tau*a_2^2| (real tau) ≤ beta_1/(1+delta) for class \Lambda(\delta,b) [Theorem 2]
coefficient_bound
\Lambda(\delta,b): |H^tau_{2,2}(f)| <= beta_1^2/(1+2delta) + 2beta_1/(1+2delta)*(3delta*beta_1^2/(2(1+delta))+|beta_2|) + beta_1/(1+2delta)*{...} + tau*(beta_1+delta(2-delta)beta_1^2+|beta_2|)^2/(1+delta)^2 [Theorem 3]
coefficient_bound
\Lambda(\delta,b): |H^tau_{3,1}(f)| <= [a_3]*|H^tau_{2,2}(f)| + |a_4|*|L^tau_2(f)| + |a_5|*|H^tau_{2,1}(f)| [explicit multi-line expression involving beta_j, delta] [Theorem 5]
function_family
Class \Lambda(\delta,b): f in A satisfying (zf'(z)/f(z))^delta * (f(z)/z)^(1-delta) subordinate to b(z), 0<=delta<=1; unifies Yamaguchi (delta=0) and starlike (delta=1) subclasses of Bazilevic functions