Certain Geometric Properties of the Fox–Wright Functions

Kumar, Anish; Mondal, Saiful R.; Das, Sourav

doi:10.3390/axioms11110629

Cited by 2 publications

(1 citation statement)

References 26 publications

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“…The study of the Hardy space of Mittag-Leffler functions is presented in [30]. In [31], the results related to the Hardy space for the Fox-Wright function are derived. Additionally, [17] establishes the conditions for generalized Struve functions belonging to the Hardy space.…”

Section: Hardy Space Of Gtsfmentioning

confidence: 99%

Geometric Properties of Normalized Galué Type Struve Function

Sarkar,

Das,

Mondal

2024

Symmetry

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The field of geometric function theory has thoroughly investigated starlike functions concerning symmetric points. The main objective of this work is to derive certain geometric properties, such as the starlikeness of order δ, convexity of order δ, k-starlikeness, k-uniform convexity, lemniscate starlikeness and convexity, exponential starlikeness and convexity, and pre-starlikeness for the Galué type Struve function (GTSF). Furthermore, the conditions for GTSF belonging to the Hardy space are also derived. The results obtained in this work generalize several results available in the literature.

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Section: Hardy Space Of Gtsfmentioning

confidence: 99%

Geometric Properties of Normalized Galué Type Struve Function

Sarkar,

Das,

Mondal

2024

Symmetry

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Complex Mathematical Modeling for Advanced Fractal–fractional Differential Operators Within Symmetry

IBRAHIM,

OBAIYS,

KARACA

et al. 2023

Fractals

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Non-local operators of differentiation are bestowed with capabilities of encompassing complex natural into mathematical equations. Symmetry as invariance under a specified group of transformations can allow for the concept to be applied extensively not only to spatial figures but also to abstract objects like mathematical expressions which can be said to be expressions of physical relevance, in particular dynamical equations. Derived from this point of view, it can be noted that the more complex physical problems are, the more complex mathematical operators of differentiation are required. Accordingly, the fractal–fractional operators (FFOs) are expanded into the complex plane in our research which revolves around a unique class of normalized analytic functions in the open unit disk. To bring FFOs (differential and integral) into the normalized class, the study aims to expand and modify them along with the investigation of the FFOs geometrically. The qualities of convexity and starlikeness are implicated in this study where the differential subordination technique serves as the foundation for the inquiry under consideration. Furthermore, a collection of differential FFO inequalities is taken into account, demonstrating that the normalized Fox–Wright function can contain all FFOs. Besides these steps, the concept of Grunsky factors is applied to investigate symmetry, while boundary value issues involving FFOs are probed. Consequently, the related properties and applications can be further developed, which requires the devotion to differential fractional problems and diverse complex problems in relation to viable applications, pointing out the room to modify and upgrade the existing methods for more optimal outcomes in challenging real-world problems.

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Certain Geometric Properties of the Fox–Wright Functions

Cited by 2 publications

References 26 publications

Geometric Properties of Normalized Galué Type Struve Function

Geometric Properties of Normalized Galué Type Struve Function

Complex Mathematical Modeling for Advanced Fractal–fractional Differential Operators Within Symmetry

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