Certain subclasses of analytic multivalent functions associated with petal-shape domain
Date
2021
Authors
Shi, Lei
Srivastava, H.M.
Khan, Muhammad Ghaffar
Khan, Nazar
Ahmad, Bakhtiar
Khan, Bilal
Mashwani, Wali Khan
Journal Title
Journal ISSN
Volume Title
Publisher
Axioms
Abstract
In this article, we introduce a new class of multivalent analytic functions associated with
petal-shape region. Furthermore, some useful properties, such as the Fekete–Szegö inequality,
and their consequences for some special cases are discussed. For some specific value of function
f , we obtain sufficient conditions for multivalent starlike functions connected with petal-shape
domain. Finally, in the concluding section, we draw the attention of the interested readers toward the
prospect of studying the basic or quantum (or q-) generalizations of the results, which are presented
in this paper. However, the (p, q)-variations of the suggested q-results will provide a relatively
minor and inconsequential development because the additional (rather forced-in) parameter p is
obviously redundant.
Description
Keywords
multivalent functions, starlike functions, petal-shape domain, differential subordination, Fekete–Szegö inequality
Citation
Shi, L., Srivastava, H. M., Khan, M. G., Khan, N., Ahmad, B., Khan, B., & Mashwani, W. K. (2021). “Certain subclasses of analytic multivalent functions associated with petal-shape domain.” Axioms, 10(4), 291. https://doi.org/10.3390/axioms10040291