B. Venkateswarlu, P. Thirupathi Reddy, N. Rani, On a certain subclass of meromorphic functions with positive coefficients involving polylogarithm functions, Vol. 2020 (2020), Article ID 6, pp. 1-10

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DOI: 10.23952/cot.2020.6

Received October 28, 2019; Accepted March 2, 2020; Published March 31, 2020

 

Abstract. In this paper, we  introduce and study a new subclass of meromorphic functions with positive coefficients involving the polylogaritham function defined by a new operator  \mathfrak{D}_c f(z)  and obtain coefficient estimates, growth and distortion theorems, the radius of convexity, integral transforms, convex linear combinations, convolution properties and  \delta-neighborhoods for the class  \sigma_{c,p}(\alpha, \beta).

 

How to Cite this Article:
B. Venkateswarlu, P. Thirupathi Reddy, N. Rani, On a certain subclass of meromorphic functions with positive coefficients involving polylogarithm functions, Communications in Optimization Theory, Vol. 2020 (2020), Article ID 6, pp. 1-10.