Properties on subclass of Sakaguchi type functions using a Mittag-Leffler type Poisson distribution series
Mathematica Bohemica, Tome 149 (2024) no. 4, pp. 455-470
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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 $ \mathfrak {p}\text {-}\nobreak \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.
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 {-}\nobreak \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.
DOI :
10.21136/MB.2023.0061-23
Classification :
30C45, 30C50
Keywords: Mittag-Leffler type Poisson distribution; analytic function; conic-type region; geometric properties
Keywords: Mittag-Leffler type Poisson distribution; analytic function; conic-type region; geometric properties
@article{10_21136_MB_2023_0061_23,
author = {Nithiyanandham, Elumalai Krishnan and Keerthi, Bhaskara Srutha},
title = {Properties on subclass of {Sakaguchi} type functions using a {Mittag-Leffler} type {Poisson} distribution series},
journal = {Mathematica Bohemica},
pages = {455--470},
year = {2024},
volume = {149},
number = {4},
doi = {10.21136/MB.2023.0061-23},
mrnumber = {4840079},
zbl = {07980800},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2023.0061-23/}
}
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 SP - 455 EP - 470 VL - 149 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2023.0061-23/ DO - 10.21136/MB.2023.0061-23 LA - en ID - 10_21136_MB_2023_0061_23 ER -
%0 Journal Article %A Nithiyanandham, Elumalai Krishnan %A Keerthi, Bhaskara Srutha %T Properties on subclass of Sakaguchi type functions using a Mittag-Leffler type Poisson distribution series %J Mathematica Bohemica %D 2024 %P 455-470 %V 149 %N 4 %U http://geodesic.mathdoc.fr/articles/10.21136/MB.2023.0061-23/ %R 10.21136/MB.2023.0061-23 %G en %F 10_21136_MB_2023_0061_23
Nithiyanandham, Elumalai Krishnan; Keerthi, Bhaskara Srutha. Properties on subclass of Sakaguchi type functions using a Mittag-Leffler type Poisson distribution series. Mathematica Bohemica, Tome 149 (2024) no. 4, pp. 455-470. doi: 10.21136/MB.2023.0061-23
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