Subclass of analytic functions associated with Pascal distribution series

Authors

  • B.A. Frasin Al al-Bayt University, Mafraq, Jordan
  • G. Murugusundaramoorthy Vellore Institute of Technology, deemed to be university Vellore - 632014, Tamilnadu, India
  • S. Yalcin Bursa Uludag University, Turkey

DOI:

https://doi.org/10.31926/but.mif.2020.13.62.2.11

Keywords:

Analytic functions, Hadamard product, Pascal distribution series

Abstract

In this paper, we find the necessary and sufficient conditions and inclusion relations for Pascal distribution series to be in the classes Wδ (α, γ, β) of analytic functions. Further, we consider an integral operator related to Pascal distribution series. Several corollaries and consequences of the mainresults are also considered.

Author Biographies

B.A. Frasin, Al al-Bayt University, Mafraq, Jordan

Faculty of Science, Department of Mathematics

G. Murugusundaramoorthy, Vellore Institute of Technology, deemed to be university Vellore - 632014, Tamilnadu, India

School of Advanced Sciences

S. Yalcin, Bursa Uludag University, Turkey

Department of Mathematics, 16059, Bursa

Downloads

Published

2021-01-22

Issue

Vol. 13(62) No. 2 (2020)

Section

MATHEMATICS