On some Summation Formulae for the I-Function of Two Variables

In this research paper, we aim to establish three interesting summation formulae for the I-function of two variables recently introduced in the literature. The results are derived with the help of classical summation theorems due to Watson, Dixon and Whipple. A few known results are also obtained as special cases of our main findings. Since the I-function of two variables is the most generalized function of two variables and it includes as special cases many of the known functions appearing in the literature, the results derived in this paper will therefore serve as the key formulas from which a large number of summation formulas including elementary functions can be obtained by specializing the parameters therein

On a double integral involving the I-function of two variables

In this paper we establish an interesting double integral involving the I-function of two variables recently introduced in the literature. Since I-function of two variables is a very generalized function of two variables and it includes as special cases many of the known functions appearing in the literature, a number of integrals can be obtained by reducing the I-function of two variables to simpler special functions by suitably specializing the parameters. A few special cases of our result are also discussed

A study of I-functions of two variables

In our present investigation we propose to study and develop the I-function of two variables analogous to the I-function of one variable introduced  and studied by one of the  authors [25]. The conditions for convergence, series representation, behaviour for small values, elementary properties, transformation formulas and some special cases for the I-function of two variables are also discussed

On two identities for I-function

In this research note, two interesting identities involving I-function of one variable introduced by Rathie have been derived. These results enable us to split a particular I-function into the sum of four I-functions. A few new as well as known special cases of our main results have been obtained.Publisher's Versio

On some Summation Formulae for the I-Function of Two Variables

Abstract In this research paper, we aim to establish three interesting summation formulae for the Ifunction of two variables recently introduced in the literature. The results are derived with the help of classical summation theorems due to Watson, Dixon and Whipple. A few known results are also obtained as special cases of our main findings. Since the I-function of two variables is the most generalized function of two variables and it includes as special cases many of the known functions appearing in the literature, the results derived in this paper will therefore serve as the key formulas from which a large number of summation formulas including elementary functions can be obtained by specializing the parameters therein

Nitrate reductase in relation to nodulation in cowpeas and mung beans

This article does not have an abstract

A note on generalizations of Bailey's identity involving products of generalized hypergeometric series

In the theory of hypergeometric and generalized hypergeometric series, the well-known and very useful identity due to Bailey (which is a generalization of the Preece's identity) plays an important role. The aim of this research paper is to provide generalizations of Bailey's identity involving products of generalized hypergeometric series in the most general form. A few known, as well as new results, have also been obtained as special cases of our main findings

Serum leptin and resistin in type 1 and type 2 diabetes mellitus

Background: Leptin is a hormone, secreted by adipocytes that control the food intake. It is an anorexigenic hormone, which leads to the suppression of appetite. Obesity is characterized by hyperleptinemia due to the development of leptin resistance 1.  Resistin is a adipokine, resisting insulin secreted from scortal cell and macrophages of adipose cell.  Diabetes is a chronic disorder presenting with high blood sugar values, either due to less production of insulin or insulin insensitivity. These adipokines have a direct correlation with diabetes. So their levels tend to vary in diabetes. Aim: To estimate the levels of Serum Leptin, Resistin, Insulin, FBS and lipid profile   in Type 1 and Type 2 diabetes mellitus patient. Material and methods: A cross sectional analytical studies was conducted in DR B R AMC. Study group included 80 known case of diabetes mellitus. 40 patients type 1 DM in group 1 and 40 patients with Type 2 DM was included as group 2. Results: BMI, FBS, Lipid profile had no significant difference among both the groups. Insulin was high in type 1 diabetes mellitus, but with no statistical significance. Leptin levels are significantly high in Type 1 DM compared to type 2 DM.&nbsp