Abstract
The aim of this paper is to define and explore a certain class of analytic functions involving the (p,q)-Wanas operator related to the Janowski functions. We discuss geometric properties, growth and distortion bounds, necessary and sufficient conditions, the Fekete–Szegö problem, partial sums, and convex combinations for the newly defined class. We solve the Fekete–Szegö problem related to the convolution product and discuss applications to probability distribution.
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference46 articles.
1. Jagannathan, R., and Rao, K.S. (2006). Two-parameter quantum algebras, twin-basic numbers, and associated generalized hypergeometric series. arXiv.
2. Representations of two parameter quantum algebras and p,q-special functions;Sahai;J. Math. Anal. Appl.,2007
3. Operators of basic (or q-) calculus and fractional q-calculus and their applications in geometric function theory of complex analysis;Srivastava;Iran. J. Sci. Technol. Trans. A Sci.,2020
4. A (p,q)-oscillator realization of two-parameter quantum algebras;Chakrabarti;J. Phys. A Math. Gen.,1991
5. On q-functions and a certain difference operator;Jackson;Trans. R. Soc. Edinb.,1908
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