The norm of pre-Schwarzian derivatives on bi-univalent functions of order $alpha$

The Norm Estimates of Pre-Schwarzian Derivatives of Spirallike Functions and Uniformly Convex $alpha$-spirallike Functions

For a constant $alphain left(-frac{pi}{2},frac{pi}{2}right)$,  we definea  subclass of the spirallike functions, $SP_{p}(alpha)$, the setof all functions $fin mathcal{A}$[releft{e^{-ialpha}frac{zf'(z)}{f(z)}right}geqleft|frac{zf'(z)}{f(z)}-1right|.]In  the present paper, we shall give the estimate of the norm of the pre-Schwarzian derivative  $mathrm{T}...

the effect of using model essays on the develpment of writing proficiency of iranina pre-intermediate efl learners

abstract the present study was conducted to investigate the effect of using model essays on the development of writing proficiency of iranian pre-intermediate efl learners. to fulfill the purpose of the study, 55 pre- intermediate learners of parsa language institute were chosen by means of administering proficiency test. based on the results of the pretest, two matched groups, one as the expe...

Subclasses of Bi-Univalent Functions of Complex Order Based On Subordination Conditions Involving Wright Hypergeometric Functions

In this paper, we introduce and investigate a new subclass of biunivalent functions ∑ of complex order defined in the open unit disk, which are associated with hypergeometric functions and satisfy subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients 2 | | a and 3 | | a for functions in the new subclass. Several (known or new) consequences of the results ar...

the impact of cooperative questioning vs. self-questioning methods on the reading comperhension ability of iranian pre- intermediate efl learners

این تحقیق به بررسی تاثیر استفاده از روش پرسش مشارکتی در مقابل روش خود پرسشی بر توانایی خواندن زبان آموزان سطح پیش متوسطه ایرانی می پردازد. در این تحقیق تلاش شده تا متوجه شویم که آیا این استراتژی ها تاثیری بر روی توانایی خواندن زبان آموزان دارد یا نه و کدام یک تاثیر بیشتری دارد. بر این اساس 98 زبان آموز انتخاب و از طریق تست مهارتی ماک تافل همگن شدند. سپس محقق آنها را به سه گروه تقسیم کرد که این ...

Pre-schwarzian Norm Estimates of Functions for a Subclass of Strongly Starlike Functions

For normalized analytic functions f in the unit disk D = {z ∈ C : |z| < 1}, we consider

Univalent Functions with Univalent Derivatives. Ii