Second Hankel Determinant for a Subclass of Tilted Starlike

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Results & Lemmas (3)

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Lemma 1 Lemma 1 [7] If p ∈P,then |pn| ≤2 (k = 1, 2, 3,...).

Lemma 1 [7] If p ∈P,then |pn| ≤2 (k = 1, 2, 3, . . .) .

Lemma 2 Lemma 2 [8,9] If p ∈P,then 2p2 = p2 1 + 4 −p2 1 x, 4p3 = p3 1 + 2p1 4 −p2 1 x −p1 4 −p2

Lemma 2 [8,9] If p ∈P,then 2p2 = p2 1 + 4 −p2 1 x, 4p3 = p3 1 + 2p1 4 −p2 1 x −p1 4 −p2

Theorem 1 Theorem 1 If f ∈S∗ c (α, δ, A, B), then a2a4 −a2 3 ≤T 2 4 where T = (A −B) tαδ and tαδ = cos α −δ. The result obtained is sharp.

Theorem 1 If f ∈S∗ c (α, δ, A, B) , then a2a4 −a2 3 ≤T 2 4 where T = (A −B) tαδ and tαδ = cos α −δ. The result obtained is sharp.

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Second Hankel Determinant for a Subclass of Tilted Starlike Functions with Respect to Conjugate Points

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Results & Lemmas (3)

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