Uniformly convex spiral functions and uniformly spirallike functions associated with Pascal distribution series

Gangadharan Murugusundaramoorthy; Basem Aref Frasin; Tariq Al-Hawary

Mathematica Bohemica (2022)

  • Volume: 147, Issue: 3, page 407-417
  • ISSN: 0862-7959

Abstract

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The aim of this paper is to find the necessary and sufficient conditions and inclusion relations for Pascal distribution series to be in the classes 𝒮𝒫 p ( α , β ) and 𝒰𝒞𝒱 p ( α , β ) of uniformly spirallike functions. Further, we consider an integral operator related to Pascal distribution series. Several corollaries and consequences of the main results are also considered.

How to cite

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Murugusundaramoorthy, Gangadharan, Frasin, Basem Aref, and Al-Hawary, Tariq. "Uniformly convex spiral functions and uniformly spirallike functions associated with Pascal distribution series." Mathematica Bohemica 147.3 (2022): 407-417. <http://eudml.org/doc/298495>.

@article{Murugusundaramoorthy2022,
abstract = {The aim of this paper is to find the necessary and sufficient conditions and inclusion relations for Pascal distribution series to be in the classes $\mathcal \{SP\}_\{p\}(\alpha ,\beta )$ and $\mathcal \{UCV\}_\{p\}(\alpha ,\beta )$ of uniformly spirallike functions. Further, we consider an integral operator related to Pascal distribution series. Several corollaries and consequences of the main results are also considered.},
author = {Murugusundaramoorthy, Gangadharan, Frasin, Basem Aref, Al-Hawary, Tariq},
journal = {Mathematica Bohemica},
keywords = {analytic function; Hadamard product; uniformly spirallike function; Pascal distribution series},
language = {eng},
number = {3},
pages = {407-417},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Uniformly convex spiral functions and uniformly spirallike functions associated with Pascal distribution series},
url = {http://eudml.org/doc/298495},
volume = {147},
year = {2022},
}

TY - JOUR
AU - Murugusundaramoorthy, Gangadharan
AU - Frasin, Basem Aref
AU - Al-Hawary, Tariq
TI - Uniformly convex spiral functions and uniformly spirallike functions associated with Pascal distribution series
JO - Mathematica Bohemica
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 147
IS - 3
SP - 407
EP - 417
AB - The aim of this paper is to find the necessary and sufficient conditions and inclusion relations for Pascal distribution series to be in the classes $\mathcal {SP}_{p}(\alpha ,\beta )$ and $\mathcal {UCV}_{p}(\alpha ,\beta )$ of uniformly spirallike functions. Further, we consider an integral operator related to Pascal distribution series. Several corollaries and consequences of the main results are also considered.
LA - eng
KW - analytic function; Hadamard product; uniformly spirallike function; Pascal distribution series
UR - http://eudml.org/doc/298495
ER -

References

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