**Title:** Mapping properties of generalized distribution series on univalent functions

**Montes Taurus J. Pure Appl. Math.** / ISSN: 2687-4814

**Article ID:** MTJPAM-D-21-00008; **Volume 4 / Issue 1 / Year 2022**, Pages 31-36

**Document Type:** Research Paper

**Author(s):** Saurabh Porwal ^{a} , Nanjundan Magesh ^{b} , Rajavadivelu Themangani ^{c}

^{a}Department of Mathematics R. S. Government Degree College, Bairi-Shivrajpur-Kanpur-209205, (U.P.), India

^{b}Post-Graduate and Research Department of Mathematics Govt Arts College (Men), Krishnagiri – 635 001, Tamilnadu, India

^{c}Department of Mathematics Voorhees College, Vellore – 632 001, Tamilnadu, India

Received: 4 January 2021, Accepted: 3 September 2021, Published: 25 September 2021.

**Corresponding Author:** Saurabh Porwal (Email address: saurabhpsit@gmail.com)

**Full Text:** PDF

**Abstract**

In this work, the generalized distribution series which is constructed by probability mass function is considered to discuss certain properties of classes of univalent functions. Moreover, we discuss certain connections between different subclasses of univalent functions.

**Keywords:** Analytic functions, univalent functions, convex functions, starlike functions, generalized distribution series, probability mass function

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