Certain subclass of analytic functions involving Hurwitz–Lerch zeta function
Serdica Mathematical Journal, Tome 48 (2022) no. 1–2, pp. 103-120
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Making use of Integral operator involving the Hurwitz-Lerch zeta function, we introduce a new subclass of analytic functions defined in the open unit disk and investigate its various characteristics. Further we obtain some usual properties of the geometric function theory such as coefficient bounds, extreme points radius of starlikness and convexity, partial sums and neighbourhood results belonging to the class.
Keywords:
analytic, starlike, convexity, partial sums, neighborhood, 30C45
@article{SMJ2_2022_48_1_2_a2,
author = {Deshmukh, Kishor and Ingle, Rajkumar and Reddy, Pinninti Thirupathi},
title = {Certain subclass of analytic functions involving {Hurwitz{\textendash}Lerch} zeta function},
journal = {Serdica Mathematical Journal},
pages = {103--120},
publisher = {mathdoc},
volume = {48},
number = {1{\textendash}2},
year = {2022},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2022_48_1_2_a2/}
}
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Deshmukh, Kishor; Ingle, Rajkumar; Reddy, Pinninti Thirupathi. Certain subclass of analytic functions involving Hurwitz–Lerch zeta function. Serdica Mathematical Journal, Tome 48 (2022) no. 1–2, pp. 103-120. http://geodesic.mathdoc.fr/item/SMJ2_2022_48_1_2_a2/