Abstract We introduce (k; s)-fractional integral operator involving (k, τ)-hypergeometric
function and the Riemann-Liouville leftsided and right-sided (k; s)-fractional integral and …

This paper is devoted to the study of a Wright-type hypergeometric function (Virchenko, Kalla
and Al-Zamel in Integral Transforms Spec. Funct. 12 (1): 89-100, 2001) by using a Riemann …

In this paper, we define further generalized hypergeometric kfunctions, using a special case
of Wright hypergeometric function. Some of the differential properties, integral …

In this paper, we establish integral representation and differentiation formulas for k-Gauss
hypergeometric function 2F1, k (a, b; c; z) and develops a relationship with k-Confluent …

In 2001, Virchenko et al. published a paper on a new generalization of Gauss
hypergeometric function, namely Wright-type generalized hypergeometric function. Present …

This research article explores some new properties of generalized hypergeometric function
and its q-analogue. The connections between $$${} _ {2}{{R} _ {1}}^{\upsilon}(\mathfrak {z}) …

The BDE (Bessel differential equation) is a second-order linear ordinary differential equation
(ODE), and it is considered one of the most significant differential equations because of its …

An attempt is made to introduce and use operational techniques to study about a new
sequence of functions containing generalized Jacobi polynomial. Some generating …

Explicit Representation and Some Integral Transforms of Sequence of Functions associated
with the Wright type Generalized Hyperg Page 1 Global Journal of Pure and Applied …

The linear and the quadratic transformationsof the hypergeometric function are proven very
useful in making various transformations and carryingout the analytic continuation of …