Properties on subclass of Sakaguchi type functions using a Mittag-Leffler type Poisson distribution series

Elumalai Krishnan Nithiyanandham; Bhaskara Srutha Keerthi

Mathematica Bohemica (2024)

  • Volume: 149, Issue: 4, page 455-470
  • ISSN: 0862-7959

Abstract

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Few subclasses of Sakaguchi type functions are introduced in this article, based on the notion of Mittag-Leffler type Poisson distribution series. The class 𝔭 - Φ 𝒮 * ( t , μ , ν , J , K ) is defined, and the necessary and sufficient condition, convex combination, growth distortion bounds, and partial sums are discussed.

How to cite

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Nithiyanandham, Elumalai Krishnan, and Keerthi, Bhaskara Srutha. "Properties on subclass of Sakaguchi type functions using a Mittag-Leffler type Poisson distribution series." Mathematica Bohemica 149.4 (2024): 455-470. <http://eudml.org/doc/299657>.

@article{Nithiyanandham2024,
abstract = {Few subclasses of Sakaguchi type functions are introduced in this article, based on the notion of Mittag-Leffler type Poisson distribution series. The class $ \mathfrak \{p\}\text\{-\}\Phi \mathcal \{S\}^*(t,\mu ,\nu ,J,K) $ is defined, and the necessary and sufficient condition, convex combination, growth distortion bounds, and partial sums are discussed.},
author = {Nithiyanandham, Elumalai Krishnan, Keerthi, Bhaskara Srutha},
journal = {Mathematica Bohemica},
keywords = {Mittag-Leffler type Poisson distribution; analytic function; conic-type region; geometric properties},
language = {eng},
number = {4},
pages = {455-470},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Properties on subclass of Sakaguchi type functions using a Mittag-Leffler type Poisson distribution series},
url = {http://eudml.org/doc/299657},
volume = {149},
year = {2024},
}

TY - JOUR
AU - Nithiyanandham, Elumalai Krishnan
AU - Keerthi, Bhaskara Srutha
TI - Properties on subclass of Sakaguchi type functions using a Mittag-Leffler type Poisson distribution series
JO - Mathematica Bohemica
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 149
IS - 4
SP - 455
EP - 470
AB - Few subclasses of Sakaguchi type functions are introduced in this article, based on the notion of Mittag-Leffler type Poisson distribution series. The class $ \mathfrak {p}\text{-}\Phi \mathcal {S}^*(t,\mu ,\nu ,J,K) $ is defined, and the necessary and sufficient condition, convex combination, growth distortion bounds, and partial sums are discussed.
LA - eng
KW - Mittag-Leffler type Poisson distribution; analytic function; conic-type region; geometric properties
UR - http://eudml.org/doc/299657
ER -

References

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