Abstract
AbstractAccording to the theory of regular geometric functions, the relevance of geometry to analysis is a critical feature. One of the significant tools to study operators is to utilize the convolution product. The dynamic techniques of convolution have attracted numerous complex analyses in current research. In this effort, an attempt is made by utilizing the said techniques to study a new linear complex operator connecting an incomplete beta function and a Hurwitz–Lerch zeta function of certain meromorphic functions. Furthermore, we employ a method based on the first-order differential subordination to derive new and better differential complex inequalities, namely differential subordinations.
Publisher
Springer Science and Business Media LLC
Reference38 articles.
1. Goodman, A.W.: Univalent Functions, I. Mariner, Tampa (1983)
2. Miller, S.S., Mocanu, P.T.: Differential Subordinations: Theory and Applications. Dekker, New York (1999)
3. Miller, S.S., Mocanu, P.T.: Subordinants of differential superordinations. Complex Var. Theory Appl. 48(10), 815–826 (2003)
4. Alexander, J.W.: Functions which map the interior of the unit circle upon simple regions. Ann. Math. 17(1), 12–22 (1915)
5. Libera, R.J.: Some classes of regular univalent functions. Proc. Am. Math. Soc. 16, 755–758 (1965)
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献