A new class of analytic functions defined by means of a generalization of the Srivastava-Attiya operator

In this paper, we introduce a new class of analytic functions defined by a new convolution operator J ( λ p ) , ( μ q ) , b s , a , λ which generalizes the well-known Srivastava-Attiya operator investigated by Srivastava and Attiya (Integral Transforms Spec. Funct. 18:207-216, 2007). We derive coeff...

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Veröffentlicht in:Journal of inequalities and applications Jg. 2015; H. 1; S. 1 - 15
Hauptverfasser: Srivastava, Hari M, Gaboury, Sebastien
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cham Springer International Publishing 03.02.2015
Schlagworte:
Analysis
Analytic functions
Applications of Mathematics
Convolution
Distortion
Inequalities
Integrals
Mathematics
Mathematics and Statistics
Operators
Recent Advances in Inequalities and Applications from Real and Complex Analysis
Texts
Theorems
Transforms
analytic functions
30C10
30C45
generalized Hurwitz-Lerch zeta function
starlike functions
11M35
Hadamard product
Srivastava-Attiya operator
ISSN:1029-242X, 1025-5834, 1029-242X
Online-Zugang:Volltext
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Zusammenfassung:In this paper, we introduce a new class of analytic functions defined by a new convolution operator J ( λ p ) , ( μ q ) , b s , a , λ which generalizes the well-known Srivastava-Attiya operator investigated by Srivastava and Attiya (Integral Transforms Spec. Funct. 18:207-216, 2007). We derive coefficient inequalities, distortion theorems, extreme points and the Fekete-Szegö problem for this new function class.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-015-0573-z