On certain generalized incomplete gamma functions

On an Extension of Generalized Incomplete Gamma Functions with Applications

In this paper we have introduced extensions yv(a, x; b) and fu(a, x; b) of the generalized Gamma functions y (a, x; b) and V(a, x\ b) considered recently by Chaudhry and Zubair. These extensions are found useful in the representations of the Laplace and tf-transforms of a class of functions. We have also defined a generalization of the inverse Gaussian distribution. The cumulative and the relia...

Certain Incomplete Numerical Functions*

The Representations on the Partial Derivatives of the Extended, Generalized Gamma and Incomplete Gamma Functions and Their Applications

In this paper, some recursive relations of the derivatives of the gamma function Γ(α) and incomplete gamma function Γ(α, z) are obtained for complex number α ̸= 0,−1,−2, · · ·. Moreover, the recurrence relation of the derivative of the k−gamma function Γk(x) are also given. Thus, the partial derivative ∂ p+q ∂νp∂μq B(ν, μ) of the Beta function B(ν, μ) can also be represented for p, q = 0, 1, 2, ...

On Characterization of Certain Wright's Generalized Hypergeometric Functions Involving Certain Subclasses of Analytic Functions

This paper presents several results associated with the Wright’s generalized hypergeometric function, depicting their interesting characterization properties. Special cases are also pointed out.

On Certain Generalized Class of Non-bazilevič Functions

In this paper, a subclass N(λ, α, A, B) of analytic functions is introduced, which is a generalized class of non-Bazilevič functions. The subordination relations, inclusion relations, distortion theorems and inequality properties are discussed by applying differential subordination method.