Neighborhoods of certain p-valent analytic functions with complex order

✍ Scribed by A.O. Mostafa; M.K. Aouf

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 452 KB
• Volume: 58
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2008.10.101

✦ Synopsis

Cauchy-Euler differential equation a b s t r a c t

In this paper, the authors prove several coefficient bounds, distortion inequalities of the class S n g (p, λ, b, β) of p-valent analytic functions of complex order. By making use of the familiar concept of neighborhoods of p-valent analytic functions, they obtained several inclusion relations associated with the N p (n, δ)-neighborhood of this class and its certain derivatives, which is defined by means of a certain non-homogeneous Cauchy-Euler differential equations.