On certain generalized close-to-star functions in the unit disc
K. S. Padmanabhan, R. Parvatham (1980)
Annales Polonici Mathematici
Dimitrios Betsakos (1997)
Colloquium Mathematicae
Obradović, Milutin (1985)
International Journal of Mathematics and Mathematical Sciences
M. Obradović (1986)
Matematički Vesnik
Rabha W. Ibrahim (2013)
Matematički Vesnik
Kim, Yong Chang, Lee, Sang Hun, Owa, Shigeyoshi (1993)
International Journal of Mathematics and Mathematical Sciences
Nunokawa, Mamoru, Owa, Shigeyoshi, Sekine, Tadayuki, Yamakawa, Rikuo, Saitoh, Hitoshi, Nishiwaki, Junichi (2007)
International Journal of Mathematics and Mathematical Sciences
M. K. Aouf (2010)
Matematički Vesnik
Uyanik, Neslihan, Deniz, Erhan, Kadioǧlu, Ekrem, Owa, Shigeyoshi (2010)
Journal of Inequalities and Applications [electronic only]
Mahzoon, Hesam, Latha, S. (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Noor, Khalida Inayat, Muhammad, Ali (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
Guo, Dong, Liu, Ming-Sheng (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Wang, Zhigang, Gao, Chunyi, Yuan, Shaomou (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
Patel, J. (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Oladipo, A.T. (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
Jagannath Patel, Ashok Kumar Sahoo (2015)
Annales UMCS, Mathematica
The object of the present paper is to solve Fekete-Szegö problem and determine the sharp tipper bound to the second Hankel determinant for a certain class ℛλ(a, c, A, B) of analytic functions in the unit disk. We also investigate several majorization properties for functions belonging to a subclass ℛλ(a, c, A, B) of ℛλ(a,c, A, B) and related function classes. Relevant connections of the main results obtained here with those given by earlier workers on the subject are pointed out.
J. Patel, G. P. Mohapatra (2002)
Annales Polonici Mathematici
A certain general class 𝓢(a,c,A,B) of analytic functions involving a linear operator is introduced. The objective is to investigate various properties and characteristics of this class. Several applications of the results (obtained here) to a class of fractional calculus operators are also considered. The results contain some of the earlier work in univalent function theory.
J. Fuka, Z. J. Jakubowski (1991)
Annales Polonici Mathematici
Let = z ∈ ℂ; |z| < 1, T = z ∈ ℂ; |z|=1. Denote by S the class of functions f of the form f(z) = z + a₂z² + ... holomorphic and univalent in , and by S(M), M > 1, the subclass of functions f of the family S such that |f(z)| < M in . We introduce (and investigate the basic properties of) the class S(M,m;α), 0 < m ≤ M < ∞, 0 ≤ α ≤ 1, of bounded functions f of the family S for which there exists an open of length 2πα such that for every and for every .
Oros, Georgia Irina, Cătaş, Adriana, Oros, Gheorghe (2008)
Journal of Inequalities and Applications [electronic only]
Aouf, M.K. (2009)
General Mathematics