Applications of Certain Functions Associated With Lemniscate Bernoulli

Abstract

and SL c as classes of α-convex and convex functions which respectively satisfy Key words: Convex functions, differential subordination, lemniscate Bernoulli.atakan SL(α) dan SL c sebagai kelas-kelas dari konveks-α and fungsi-fungsi kon-] 2 − 1 < 1. Dengan menggunakan hasil-hasil yang telah diperoleh se- Kata kunci: Fungsi Konveks, subordinasi diferensial, lemniscate Bernoulli.

On Analytic Multivalent Function Associated with Cosine Hyperbolic Function

“…Comparative sort suggestions have been examined in a portion of the new papers by various analysts, for instance see the papers contributed by Halim and Omar [6] Haq et al [7], Kumar et. al [13,15] Paprocki and Sokol [18], Raza et al [20] and Sharma et al [22].…”

On fourth Hankel determinant for functions associated with Bernoulli's lemniscate

“…We can easily see that a function f ∈ A belongs to the class SL, if and only if zf ′ (z) f (z) ≺ √ 1 + z, (1.2) where the square root function is considered at principal branch, that is √ 1 + z z=0 = 1. (1.3) Remark that the class SL was introduced by Sokól and Stankiewicz [21], and further studied by different authors in [2,11,[17][18][19][20].…”

On Certain Class of Bazilevič Functions Associated with the Lemniscate of Bernoulli

“…Several geometric properties of SL * were investigated done by many authors in ( [4][5][6][7]). Now, we define a class B p ðλ, αÞ of Bazilevic functions associated with lemniscate of Bernoullia by using the principle of differential subordination as follows.…”