Close-to-Convexity of q-Bessel–Wright Functions

Muhey U. Din; Mohsan Raza; Qin Xin; Sibel Yalçin; Sarfraz Nawaz Malik

doi:10.3390/math10183322

Close-to-Convexity of q-Bessel–Wright Functions

Muhey U. Din, Mohsan Raza, Qin Xin, Sibel Yalçin, Sarfraz Nawaz Malik

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Abstract

In this paper, we aim to find sufficient conditions for the close-to-convexity of q-Bessel– Wright functions with respect to starlike functions, such as z 1−z , z 1−z 2 , and − log(1 − z) are in the open unit disc. Some consequences related to our main results are also included.

Original language	English
Article number	3322
Number of pages	12
Journal	Mathematics
Volume	2022
Issue number	10
DOIs	https://doi.org/10.3390/math10183322
Publication status	Published - 13 Sept 2022

Keywords

analytic functions
univalent functions
starlike functions
convex functions
close-toconvex functions
q-Wright functions

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10.3390/math10183322

mathematics-10-03322-v2 (1)Licence: CC BY

Cite this

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title = "Close-to-Convexity of q-Bessel–Wright Functions",

abstract = "In this paper, we aim to find sufficient conditions for the close-to-convexity of q-Bessel– Wright functions with respect to starlike functions, such as z 1−z , z 1−z 2 , and − log(1 − z) are in the open unit disc. Some consequences related to our main results are also included.",

keywords = "analytic functions, univalent functions, starlike functions, convex functions, close-toconvex functions, q-Wright functions",

author = "Din, \{Muhey U.\} and Mohsan Raza and Qin Xin and Sibel Yal{\c c}in and Malik, \{Sarfraz Nawaz\}",

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AU - Din, Muhey U.

AU - Raza, Mohsan

AU - Xin, Qin

AU - Yalçin, Sibel

AU - Malik, Sarfraz Nawaz

PY - 2022/9/13

Y1 - 2022/9/13

N2 - In this paper, we aim to find sufficient conditions for the close-to-convexity of q-Bessel– Wright functions with respect to starlike functions, such as z 1−z , z 1−z 2 , and − log(1 − z) are in the open unit disc. Some consequences related to our main results are also included.

AB - In this paper, we aim to find sufficient conditions for the close-to-convexity of q-Bessel– Wright functions with respect to starlike functions, such as z 1−z , z 1−z 2 , and − log(1 − z) are in the open unit disc. Some consequences related to our main results are also included.

KW - analytic functions

KW - univalent functions

KW - starlike functions

KW - convex functions

KW - close-toconvex functions

KW - q-Wright functions

UR - https://doi.org/10.3390/math10183322

U2 - 10.3390/math10183322

DO - 10.3390/math10183322

M3 - Article

SN - 2227-7390

VL - 2022

JO - Mathematics

JF - Mathematics

IS - 10

M1 - 3322

ER -

Close-to-Convexity of q-Bessel–Wright Functions

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Keywords

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