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Vol. 48 No. 1–2 (2022)
Serdica Mathematical Journal

Articles

Certain subclass of analytic functions involving Hurwitz–Lerch zeta function

https://doi.org/10.55630/serdica.2022.48.103-120

Published 23-09-2022

  • Kishor C. Deshmukh
    • ,
  • Rajkumar N. Ingle
    • ,
  • Pinninti Thirupathi Reddy

Kishor C. Deshmukh
Bahirji Smarak Mahavidyalay

Rajkumar N. Ingle
Bahirji Smarak Mahavidyalay

Pinninti Thirupathi Reddy
DRK Institute of Science and Technology

Abstract

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.

2020 Mathematics Subject Classification:

30C45

Keywords

analytic, starlike, convexity, partial sums, neighborhood

Full text

Author Details

Kishor C. Deshmukh

Department of Mathematics
Bahirji Smarak Mahavidyalay
Bashmathnagar – 431 512
Maharashtra, India
e-mail: kishord1382@gmail.com

Rajkumar N. Ingle

Department of Mathematics
Bahirji Smarak Mahavidyalay
Bashmathnagar – 431 512
Maharashtra, India
e-mail: ingleraju11@gmail.com

Pinninti Thirupathi Reddy

Department of Mathematics
DRK Institute of Science and Technology
Bowrampet, Hyderabad – 500 043
Telangana, India
e-mail: reddypt2@gmail.com

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