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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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

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

First available in Project Euclid: 25 November 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

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


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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