A New Class of Generalized Close-to-Starlike Functions Defined by the Srivastava-Attiya Operator

作者：Srivastava H M^*; Raducanu Dorina; Salagean Grigore S

来源：Acta Mathematica Sinica-English Series, 2013, 29(5): 833-840.

DOI：10.1007/s10114-013-2462-z

• Analytic functions
• starlike functions
• convex functions
• close-to-starlike functions
• Srivastava-Attiya operator
• inclusion results
• coefficient bounds
• coefficient inequalities
• hadamard product (or convolution)

In this paper, we consider a new class CS*(s,b) of generalized close-to-starlike functions, which is defined by means of the Srivastava-Attiya operator J(s,b) involving the Hurwitz-Lerch Zeta function Phi(z, s, a). Basic results such as inclusion relations, coefficient inequalities and other interesting properties of this class are investigated. Relevant connections of some of the results presented here with those that were obtained in earlier investigations are pointed out briefly.

• 出版日期2013-5