On Geometric Properties of Bessel–Struve Kernel Functions in Unit Disc

Najla M. Alarifi; Saiful R. Mondal

doi:10.3390/math10142516

On Geometric Properties of Bessel–Struve Kernel Functions in Unit Disc

Najla M. Alarifi^*
, Saiful R. Mondal

^*Corresponding author for this work

Mathematics Department

King Faisal University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The Bessel–Struve kernel function defined in the unit disc is used in this study. The Bessel–Struve kernel functions are generalized in this article, and differential equations are derived. We found conditions under which the generalized Bessel–Struve function is Lemniscate convex by using a subordination technique. The relation between the Janowski class and exponential class is also derived.

Original language	English
Article number	2516
Journal	Mathematics
Volume	10
Issue number	14
DOIs	https://doi.org/10.3390/math10142516
State	Published - Jul 2022

Keywords

Bessel–Struve kernel functions
exponential class
Janowski class
Lemniscate convex
subordination

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10.3390/math10142516

Cite this

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title = "On Geometric Properties of Bessel–Struve Kernel Functions in Unit Disc",

abstract = "The Bessel–Struve kernel function defined in the unit disc is used in this study. The Bessel–Struve kernel functions are generalized in this article, and differential equations are derived. We found conditions under which the generalized Bessel–Struve function is Lemniscate convex by using a subordination technique. The relation between the Janowski class and exponential class is also derived.",

keywords = "Bessel–Struve kernel functions, exponential class, Janowski class, Lemniscate convex, subordination",

author = "Alarifi, \{Najla M.\} and Mondal, \{Saiful R.\}",

note = "Publisher Copyright: {\textcopyright} 2022 by the authors.",

year = "2022",

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doi = "10.3390/math10142516",

language = "English",

volume = "10",

journal = "Mathematics",

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AU - Alarifi, Najla M.

AU - Mondal, Saiful R.

PY - 2022/7

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N2 - The Bessel–Struve kernel function defined in the unit disc is used in this study. The Bessel–Struve kernel functions are generalized in this article, and differential equations are derived. We found conditions under which the generalized Bessel–Struve function is Lemniscate convex by using a subordination technique. The relation between the Janowski class and exponential class is also derived.

AB - The Bessel–Struve kernel function defined in the unit disc is used in this study. The Bessel–Struve kernel functions are generalized in this article, and differential equations are derived. We found conditions under which the generalized Bessel–Struve function is Lemniscate convex by using a subordination technique. The relation between the Janowski class and exponential class is also derived.

KW - Bessel–Struve kernel functions

KW - exponential class

KW - Janowski class

KW - Lemniscate convex

KW - subordination

UR - https://www.scopus.com/pages/publications/85136919335

U2 - 10.3390/math10142516

DO - 10.3390/math10142516

M3 - Article

AN - SCOPUS:85136919335

SN - 2227-7390

VL - 10

JO - Mathematics

JF - Mathematics

IS - 14

M1 - 2516

ER -

On Geometric Properties of Bessel–Struve Kernel Functions in Unit Disc

Abstract

Keywords

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