Liu, Jin-Lin Subordinations for certain multivalent analytic functions associated with the generalized Srivastava-Attiya operator. (English) Zbl 1151.30004 Integral Transforms Spec. Funct. 19, No. 12, 893-901 (2008). Summary: We investigate a new class of multivalent analytic functions defined by the generalized Srivastava-Attiya operator \(\mathfrak I _{s,b}\). Several properties of functions belonging to this class are derived. Cited in 12 Documents MSC: 30C10 Polynomials and rational functions of one complex variable 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) 11M35 Hurwitz and Lerch zeta functions Keywords:analytic functions; star-like functions; prestar-like functions; Hadamard product (or convolution); Hurwitz-Lerch zeta function; Srivastava-Attiya operator; subordination PDFBibTeX XMLCite \textit{J.-L. Liu}, Integral Transforms Spec. Funct. 19, No. 12, 893--901 (2008; Zbl 1151.30004) Full Text: DOI References: [1] DOI: 10.2307/2007212 · JFM 45.0672.02 [2] DOI: 10.1090/S0002-9947-1969-0232920-2 [3] DOI: 10.1016/j.amc.2004.12.004 · Zbl 1082.11052 [4] DOI: 10.1016/j.jmaa.2004.05.040 · Zbl 1106.11034 [5] DOI: 10.1080/10652460600926907 · Zbl 1184.11005 [6] DOI: 10.1006/jmaa.1993.1204 · Zbl 0774.30008 [7] DOI: 10.1090/S0002-9939-1965-0178131-2 [8] DOI: 10.1016/S0096-3003(03)00746-X · Zbl 1078.11054 [9] DOI: 10.1080/10652460600926923 · Zbl 1172.11026 [10] DOI: 10.1016/j.jmaa.2005.01.020 · Zbl 1076.33006 [11] DOI: 10.1090/S0002-9947-1962-0140674-7 [12] DOI: 10.1307/mmj/1029002507 · Zbl 0439.30015 [13] DOI: 10.1080/10652460701542074 · Zbl 1130.30003 [14] Ruscheweyh S., Convolutions in Geometric Function Theory (1982) · Zbl 0499.30001 [15] DOI: 10.1080/10652460701208577 · Zbl 1112.30007 [16] Srivastava H. M., Series Associated with the Zeta and Related Functions (2001) · Zbl 1014.33001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.