Abstract
The operator was introduced in (Srivastava and Attiya in Integral Transforms Spec. Funct. 18(3-4): 207-216, 2007), which makes a connection between Geometric Function Theory and Analytic Number Theory. In this paper, we use the techniques of differential subordination to investigate some classes of admissible functions associated with the generalized Srivastava-Attiya operator in the open unit disc . MSC:30C80, 30C10, 11M35.
Highlights
Let A(p) denote the class of functions f (z) of the form ∞f (z) = zp + ak+pzk+p, ( . ) k=which are analytic in the open unit disc U = {z ∈ C : |z| < }
Which are analytic in the open unit disc U = {z ∈ C : |z| < }
We begin by recalling that a general Hurwitz-Lerch Zeta function (z, s, b) defined by
Summary
1 Introduction Let A(p) denote the class of functions f (z) of the form Srivastava and Attiya [ ] introduced the operator Js,b(f ) (f ∈ A), which makes a connection between Geometric Function Theory and Analytic Number Theory, defined by Liu [ ] defined the generalized Srivastava-Attiya operator as follows:
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