Bulletin of the Belgian Mathematical Society - Simon Stevin

On a Hurwitz-Lerch zeta type function and its applications

J. K. Prajapat, R. K. Raina, and J. Sokół

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Abstract

We first define a generalized form of a Hurwitz-Lerch zeta type function and then use it in constructing certain classes of analytic functions in the unit disk. In our investigation, we obtain various results for the classes introduced, thereby, exhibiting their useful properties and characteristics by adopting the techniques of differential subordination. Several consequences of the main results are considered and relevant connections with some of the known results are also pointed out.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 20, Number 5 (2013), 803-820.

Dates
First available in Project Euclid: 25 November 2013

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1385390765

Digital Object Identifier
doi:10.36045/bbms/1385390765

Mathematical Reviews number (MathSciNet)
MR3160590

Zentralblatt MATH identifier
1295.30043

Subjects
Primary: 30C45: Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)
Secondary: 30C80: Maximum principle; Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination

Keywords
Analytic functions Hurwitz-Lerch function Univalent functions Differential subordination Convex functions Starlike functions

Citation

Prajapat, J. K.; Raina, R. K.; Sokół, J. On a Hurwitz-Lerch zeta type function and its applications. Bull. Belg. Math. Soc. Simon Stevin 20 (2013), no. 5, 803--820. doi:10.36045/bbms/1385390765. https://projecteuclid.org/euclid.bbms/1385390765


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