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«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2020. Vol. 33

Notes on Meromorphic Functions with Positive Coefficients Involving Polylogarithm Function

Author(s)
G. Swapna, B. Venkateswarlu, P. Thirupathi Reddy
Abstract

In this paper, we introduce and study a new subclass of meromorphic functions with positive coefficients involving the polylogarithm function and obtain coefficient estimates, growth and distortion theorem, radius of convexity, integral transforms, convex linear combinations and convolution properties for the class σc,p (α, λ).

About the Authors

G. Swapna, Master of Philosophy in Mathematics, Research Scholar, Department of Mathematics, School of Sciences, GITAM University, Doddaballapur - 562163, Bengaluru Rural, Karnataka, India. tel.:+91 90030 44926, email: swapna.priya38@gmail.com

B. Venkateswarlu, Doctor of Mathematics, Assoc. Prof. and Head, Department of Mathematics, School of Sciences, GITAM University, Doddaballapur - 562163, Bengaluru Rural, Karnataka, India. tel.:+91 9885 160734, email: bvlmaths@gmail.com

P. Thirupathi Reddy, Doctor of Mathematics, Department of Mathematics, Kakatiya Univeristy, Warangal - 506009, Telangana, India. tel.:+91 99511 93522, email: reddypt2@gmail.com

For citation

Swapna G., Venkateswarlu B., Reddy P. Thirupathi. Notes on Meromorphic Functions with Positive Coefficients Involving Polylogarithm Function. The Bulletin of Irkutsk State University. Series Mathematics, 2020, vol. 33, pp. 51-63. https://doi.org/10.26516/1997-7670.2020.33.51

Keywords
Meromorphic, Polylogarithm, Coefficient estimates
UDC
517.547
MSC
30C45
DOI
https://doi.org/10.26516/1997-7670.2020.33.51
References
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  6. Venkateswarlu B., Reddy P. Thirupathi, Rani N. On a certain subclass of meromorphic functions with positive coefficients involving polylogarithm functions. Commun. Optim. Theory, 2020, vol. 2020, Article ID 6.

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