Central University of Kerala

About: Central University of Kerala is a education organization based out in Kāsaragod, India. It is known for research contribution in the topics: Population & Catalysis. The organization has 556 authors who have published 881 publications receiving 7474 citations.

On a general double integral involving generalized hypergeometric function

Abstract: The aim of this research note is to provide a general double integral involving generalized hypergeometric function. The results are derived with the help of an interesting double integral due to Edward (7). Results earlier obtained by Pandey (8) follow special case of our main findings. In addition to this, several very interesting results have also been obtained as a special case of our main findings.

FG-coupled fixed point theorems for contractive type mappings in partially ordered metric spaces

Abstract: In this paper we prove FG-coupled fixed point theorems for Kannan, Reich and Chatterjea type mappings in partially ordered complete metric spaces using mixed monotone property. AMS Subject Classification: 47H10, 54F05.

A Characterisation of Strong Integer Additive Set-Indexers of Graphs

Abstract: An integer additive set-indexer is defined as an injective function $f:V(G)\rightarrow 2^{\mathbb{N}_0}$ such that the induced function $g_f:E(G) \rightarrow 2^{\mathbb{N}_0}$ defined by $g_f (uv) = f(u)+ f(v)$ is also injective, where $f(u)+f(v)$ is the sumset of $f(u)$ and $f(v)$. If $g_f(uv)=k~\forall~uv\in E(G)$, then $f$ is said to be a $k$-uniform integer additive set-indexers. An integer additive set-indexer $f$ is said to be a strong integer additive set-indexer if $|g_f(uv)|=|f(u)|.|f(v)|~\forall ~ uv\in E(G)$. We already have some characteristics of the graphs which admit strong integer additive set-indexers. In this paper, we study the characteristics of certain graph classes, graph operations and graph products that admit strong integer additive set-indexers.

A derivation of two transformation formulas contiguous to that of Kummer's second theorem via a differential equation approach

Abstract: The purpose of this note is to provide an alternative proof of two transformation formulas contiguous to that of Kummer’s second transformation for the confluent hypergeometric function 1F1 using a differential equation approach.

Periodic Points of N-Dimensional Toral Automorphisms

Abstract: In this article, subsets of \(\mathbb {T}^n\) that can arise as sets of all periodic points of a continuous n-dimensional toral automorphism are characterized. Here, the torus \(\mathbb {T}^n\) is viewed as \([0,1) \times \cdots \times [0,1)\) (n-times) as a group under coordinate-wise addition modulo 1.