Family of Analytic Functions with Negative Coefficients Involving $q-$Analogue of Multiplier Transformation Operator

Tamer Seoudy; Mohamed Kamal Aouf

doi:10.36753/mathenot.883641

EN

Family of Analytic Functions with Negative Coefficients Involving $q-$Analogue of Multiplier Transformation Operator

Abstract

We introduce a new class of analytic functions with negative coefficients by using the $q-$analogue of multiplier transformation operator. Coefficient inequalities, distortion theorems, closure theorems, and some properties involving the modified Hadamard products, radii of close-to-convexity, starlikeness, and convexity, and integral operators associated with functions belonging to this class are obtained.

Keywords

Univalent function, convolution, q-convex, q-starlike, q-analogue of multiplier transformation operator

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Tamer Seoudy ^*
0000-0001-6427-6960
Egypt

Mohamed Kamal Aouf
0000-0001-9398-4042
Türkiye

Publication Date

September 2, 2023

Submission Date

February 20, 2021

Acceptance Date

July 29, 2022

Published in Issue

Year 2023 Volume: 11 Number: 3

DOI

https://doi.org/10.36753/mathenot.883641

IZ

https://izlik.org/JA76MW96ZU

APA

Seoudy, T., & Aouf, M. K. (2023). Family of Analytic Functions with Negative Coefficients Involving $q-$Analogue of Multiplier Transformation Operator. Mathematical Sciences and Applications E-Notes, 11(3), 138-152. https://doi.org/10.36753/mathenot.883641

AMA

1.Seoudy T, Aouf MK. Family of Analytic Functions with Negative Coefficients Involving $q-$Analogue of Multiplier Transformation Operator. Math. Sci. Appl. E-Notes. 2023;11(3):138-152. doi:10.36753/mathenot.883641

Chicago

Seoudy, Tamer, and Mohamed Kamal Aouf. 2023. “Family of Analytic Functions With Negative Coefficients Involving $q-$Analogue of Multiplier Transformation Operator”. Mathematical Sciences and Applications E-Notes 11 (3): 138-52. https://doi.org/10.36753/mathenot.883641.

EndNote

Seoudy T, Aouf MK (September 1, 2023) Family of Analytic Functions with Negative Coefficients Involving $q-$Analogue of Multiplier Transformation Operator. Mathematical Sciences and Applications E-Notes 11 3 138–152.

IEEE

[1]T. Seoudy and M. K. Aouf, “Family of Analytic Functions with Negative Coefficients Involving $q-$Analogue of Multiplier Transformation Operator”, Math. Sci. Appl. E-Notes, vol. 11, no. 3, pp. 138–152, Sept. 2023, doi: 10.36753/mathenot.883641.

ISNAD

Seoudy, Tamer - Aouf, Mohamed Kamal. “Family of Analytic Functions With Negative Coefficients Involving $q-$Analogue of Multiplier Transformation Operator”. Mathematical Sciences and Applications E-Notes 11/3 (September 1, 2023): 138-152. https://doi.org/10.36753/mathenot.883641.

JAMA

1.Seoudy T, Aouf MK. Family of Analytic Functions with Negative Coefficients Involving $q-$Analogue of Multiplier Transformation Operator. Math. Sci. Appl. E-Notes. 2023;11:138–152.

MLA

Seoudy, Tamer, and Mohamed Kamal Aouf. “Family of Analytic Functions With Negative Coefficients Involving $q-$Analogue of Multiplier Transformation Operator”. Mathematical Sciences and Applications E-Notes, vol. 11, no. 3, Sept. 2023, pp. 138-52, doi:10.36753/mathenot.883641.

Vancouver

1.Tamer Seoudy, Mohamed Kamal Aouf. Family of Analytic Functions with Negative Coefficients Involving $q-$Analogue of Multiplier Transformation Operator. Math. Sci. Appl. E-Notes. 2023 Sep. 1;11(3):138-52. doi:10.36753/mathenot.883641