Uniformly starlike functions and uniformly convex functions related to the Pascal distribution

Gangadharan Murugusundaramoorthy; Sibel Yalçın

Mathematica Bohemica (2021)

  • Volume: 146, Issue: 4, page 419-428
  • ISSN: 0862-7959

Abstract

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In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk 𝕌 . We also state corollaries of our main results.

How to cite

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Murugusundaramoorthy, Gangadharan, and Yalçın, Sibel. "Uniformly starlike functions and uniformly convex functions related to the Pascal distribution." Mathematica Bohemica 146.4 (2021): 419-428. <http://eudml.org/doc/297616>.

@article{Murugusundaramoorthy2021,
abstract = {In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk $\mathbb \{U\}$. We also state corollaries of our main results.},
author = {Murugusundaramoorthy, Gangadharan, Yalçın, Sibel},
journal = {Mathematica Bohemica},
keywords = {uniformly starlike function; uniformly convex function; starlike function; convex function; Pascal distribution; convolution},
language = {eng},
number = {4},
pages = {419-428},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Uniformly starlike functions and uniformly convex functions related to the Pascal distribution},
url = {http://eudml.org/doc/297616},
volume = {146},
year = {2021},
}

TY - JOUR
AU - Murugusundaramoorthy, Gangadharan
AU - Yalçın, Sibel
TI - Uniformly starlike functions and uniformly convex functions related to the Pascal distribution
JO - Mathematica Bohemica
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 146
IS - 4
SP - 419
EP - 428
AB - In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk $\mathbb {U}$. We also state corollaries of our main results.
LA - eng
KW - uniformly starlike function; uniformly convex function; starlike function; convex function; Pascal distribution; convolution
UR - http://eudml.org/doc/297616
ER -

References

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