Certain classes of analytic functions of complex order involving a family of generalized differential operators

Abstract

Abstract.A new class of analytic functions of complex order is defined using a generalized differential operator. Coefficient inequalities, sufficient condition and an interesting subordination result are obtained. (2000): 30C45, 30C50. Mathematics subject classification

Coefficient estimates for certain subclasses of starlike functions of complex order associated with hyperbolic domain

“…Remark 4. It can be seen that Theorem 1 extends the results obtained by various authors, for example see [4,19,22,23].…”

Properties of λ-Pseudo-Starlike Functions of Complex Order Defined by Subordination

“…Therefore, (30) is true for j = 3. Following the same steps as in [21], we can prove the assertion (30) of our theorem:…”

“…Remark 5. Several well-known results can be obtained as the special case of Theorems 8 and 9, and we refer to the papers [21,24] in addition to the references provided therein. ; α, β; γ; h, A, B)…”

CERTAIN CLASSES OF BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER ASSOCIATED WITH QUASI-SUBORDINATION INVOLVING (p, q) -DERIVATIVE OPERATOR

“…Recently for f ∈ A, Selvaraj et al [25] defined and discussed (p, q)-analogue of Salagean differential operator as given below:…”