Kaliyappan Vijaya

Bio: Kaliyappan Vijaya is an academic researcher from VIT University. The author has contributed to research in topics: Class (set theory) & Operator (physics). The author has an hindex of 2, co-authored 3 publications receiving 5 citations.

New Subclass of Pseudo-type Meromorphic Bi-Univalent functions of complex order

Abstract: In the present article, we define a new subclass of pseudo-type meromorphic bi-univalent functions class $\\Sigma'$ of complex order $\\gamma \\in \\mathbb{C}\\backslash \\{0\\}$ and investigate the initial coefficient estimates $|b_0|, |b_1|$ and $|b_2|.$ Further we mention several new or known consequences of our result.

Certain subclasses of Spirallike univalent functions related with Pascal distribution series

Abstract: The purpose of the present paper is to find the necessary and sufficient conditions for the subclasses of analytic functions associated with Pascal distribution to be in subclasses of spiral-like univalent functions and inclusion relations for such subclasses in the open unit disk $\mathbb{D}.$ Further, we consider the properties of integral operator related to Pascal distribution series. Several corollaries and consequences of the main results are also considered.

A subclass of pseudo-type meromorphic bi-univalent functions

Abstract: In this paper, In the present article, a new subclass of pseudo-type meromorphic bi-univalent functions is defined on △={z |:z∈C and 1<|z|<∞}, we derive estimates on the initial coefficient |b₀|, |b₁| and |b₂|. Relevant connections of the new results with various well-known results are indicated. Motivated by the earlier work of ( Srivastava , Janani ), in the present paper, we introduce a new subclasses of the class Σ′ and the estimates for the coefficients |b₀|,|b₁| and |b₂| are investigated. Some new consequences of the new results are also pointed out.