The Laplace transform and its inverse are fundamental and powerful tools in solving boundary value problems occurring in the diverse fields of engineering. Here we will establish some useful formulas giving the inverse Laplace transform of various products of algebraic powers and $ \overline{H} $-function, involving one and more variables, which are unified and likely to have applications in several different areas.
Abstract. The main object of this paper is to find certain conditions for the function z{pipq(z)} to be a member of certain subclasses of analytic functions. Our results provides generalization of some recent results due to Swaminathan [19] and Chaurasia and Srivastava [20],
The main aim of the present paper is to obtain a new class of multivalent functions which is defined by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator.We study the region of starlikeness and convexity of the class Ω p (α, β, γ). Also we apply the Fractional calculus techniques to obtain the applications of the class Ω p (α, β, γ). Finally, the familiar concept of δ-neighborhoods of p-valent functions for above mentioned class are employed.Subject class (2010) : Primary 26A33, Secondary 30C45.
The main aim of the present paper is to derive some results related to fractional integral formulae on the product of multivariable $H$-function and two general class of multivariable polynomials. A large number of known and new result have also been obtained by proper choice of parameters.
In this paper, we have established the inclusion relations for kuniformly starlike functions under the à L s q (α 1 )f (z) operator. These results are also extended to k-uniformly convex functions, close to convex and quasi-convex functions.Subjclass [2000]: Primary 26A33, Secondary 30C45.
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