Shahid Mahmood

Uniformly Alpha-Quasi-Convex Functions Defined by Janowski Functions

In this work, we aim to introduce and study a new subclass of analytic functions related to the oval and petal type domain. This includes various interesting properties such as integral representation, sufficiency criteria, inclusion results, and the convolution properties for newly introduced class.

Janowski type close-to-convex functions associated with conic regions

The analytic functions, mapping the open unit disk onto petal and oval type regions, introduced by Noor and Malik (Comput. Math. Appl. 62:2209-2217, 2011), are considered to define and study their associated close-to-convex functions. This work includes certain geometric properties like sufficiency criteria, coefficient estimates, arc length, the growth rate of coefficients of Taylor series, integral preserving properties of these functions.

A New Subclass of -Janowski Type Functions Associated with Ruscheweyh Derivative

We introduce and investigate a new subclass of analytic functions using Ruscheweyh derivative. We derive the coefficient inequalities and other interesting properties and characteristics for functions belonging to the general class, which we have introduced and studied in this article. We also observe that this class is preserved under the Bernardi integral transform.

To Study the Effect of the Generating Polynomial on the Quality of Nonlinear Components in Block Ciphers

Substitution box ( -box), being the only nonlinear component, contributes to the confusion creating capability of a cryptosystem. Keeping in view the predominant role of -box, many design algorithms to synthesize cryptographically stronger -boxes have gained pivotal attention. A quick review of these algorithms shows that all these ideas mainly concentrate on the choice of bijective Boolean functions, with nonobservance to the irreducible polynomial that generates the Galois field. In this paper, we propose that the selection of irreducible polynomial has a deep influence on the highly desirable features of an -box such as nonlinearity, strict avalanche, bit independence, linear approximation probability, and differential approximation probability. We underpin our claim by investigating a detailed model, which deploys the same algorithm but different polynomials and produces unusual changes in the results regarding the performance parameters of -box.

Convexity of Certain Integral Operators Defined by Struve Functions

This article deals with some functional inequalities involving Struve function, generalized Struve function, and modified Struve functions. We aim to find the convexity of the integral operator defined by Struve function, generalized Struve function, and modified Struve functions.

Some Coefficient Inequalities of q-Starlike Functions Associated with Conic Domain Defined by q-Derivative

This article deals with q-starlike functions associated with conic domains, defined by Janowski functions. It generalizes the recent study of q-starlike functions while associating it with the conic domains. Certain renowned coefficient inequalities in connection with the previously known ones have been included in this work.

On analytic functions with generalized bounded Mocanu variation in conic domain with complex order

Abstract The aim of present article is to introduce and study new subclasses in conic regions. These classes unifies several known classes studied by various well-known authors. Many interesting properties including sufficiency criteria, arc length problem, distortion results are investigated for these newly defined subclasses.