Bu makalede daha önce tanımlanan konkav yalınkat fonksiyonların alt
sınıfı ön bilgi olarak verilmiştir. Ardından Fekete-Szegö Problemi olarak
bilinen λ∈(0,1] reel değerli sayısına bağlı katsayı bağıntısının üst sınırını
bulma problemi kısaca tanımlanmıştır. Sonuç olarak makalenin sonunda verilen
teoremin ispatı için gerekli tüm durumlar incelenip Genelleştirilmiş
Srivastava-Attiya Operatörü yardımıyla tanımlanan konkav yalınkat
fonksiyonlarda Fekete-Szegö Problemi çözülmüştür.
Alexander, J. W. 1915. “Functions which map the interior of the unit circle upon simple regions” Ann. of Math., 17, 12-22.
Attiya, A. A., Hakami, A. H. 2013. “Some subordination results associated with generalized Srivastava-Attiya operatör” Adv. Difference Equ., 105.
Avkhadiev, F. G. and Wirths, K. J. 2002. “Convex holes produce lower bounds for coefficients” Complex Variables, Theory and Application, 47, 556-563.
Avkhadiev, F. G., Pommerenke, C. and Wirths, K. J. 2006. “Sharp inequalities for the coefficients of concave schlicht functions” Comment. Math. Helv., 81, 801-807.
Bernardi, S. D. 1969. “Convex and starlike univalent functions” Trans. Amer. Math. Soc., 135, 429-446.
Bhowmik, B., Ponnusamy, S. ve Wirths, K. J. 2010. “Characterization and the pre-Schwarzian norm estimate for concave univalent functions” Monatsh Math., 161, 59-75.
Choi, J., Srivastava, H. M. 2005. “Certain families of series associated with the Hurwitz-Lerch Zeta function” Appl. Math. Comput. 170, 399-409.
Dziok, J., Srivastava, H. M. 2003. “Certain subclasses of analytic functions associated with the generalized hypergeometric function” Integral Transforms Spec. Funct. 14, 7-18.
Dziok, J., Srivastava, H. M. 1999. “Classes of analytic functions associated with the generalized hypergeometric function” Appl. Math. Comput. 103, 1-13.
Fekete, M., Szegö, G. 1933. “Eine Bumerkung Über Ungerade Schlict Funktionen” J. London Math. Soc. 8, 85-89.
Ferreira, C., Lopez, J. L. 2004. “Asymptotic expansions of the Hurwitz-Lerch Zeta function” J. Math. Anal. Appl., 298, 210-224.
Kiryakova, V. 2011. “Criteria for univalence of the Dziok-Srivastava and the Srivastava-Owa operators in the class A” Appl. Math. Comput., 218, 883-892.
Koepf, W. 1987. “On the Fekete-Szegö problem for close –to-convex functions” Proc. Amer. Math. Soc., 101, 420-433.
Kutbi, M. A., Attiya, A. A. 2012. “Differential subordination results for certain integrodifferential operator and its applications” Abst. Appl. Anal.,2012, 1-13.
Libera, R. J. 1965. “Some classes of regular univalent functions” Proc. Amer. Math. Soc., 16, 755-758.
Lin, S. D., Srivastava, H. M. 2006. “Wang, P. Y. Some espansion formulas for a class of generalized Hurwitz-Lerch Zeta functions” Integral Transform. Spec. Funct., 17, 817-827.
Ling, Y., Liu, F. S. 2005. “The Choi-Saigo-Srivastava integral operator and a class of analytic functions” Appl. Math. Comput., 165, 613--621.
Livingston, A. E. 1966. “On the radius of univalence of certain analytic functions” Proc. Amer. Math. Soc., 17, 352-357.
Murugusundaramoorthy, G. 2014. “Coefficient estimate of bi-Bazilevic function defined by Srivastava-Attiya operatör” Le Matematiche, 69 (2) 45-56.
Ruscheweyh, S. 1975. “New criteria for univalent functions” Proc. Amer. Math. Soc. 49, 109-115.
Srivastava, H. M. 2007. “Some Fox-Wright generalized hypergeometric functions and associated families of convolution operators” Appl. Anal. Discrete Math., 1, 56-71.
Srivastava, H. M., Attiya, A. A. 2007. “An integral operator associated with the Hurwitz-Lerch Zeta function and differential subordination” Integral Transform. Spec. Funct., 18, 207-216.
Srivastava, H. M., Choi, J. (2001). “Series Associated with the Zeta and Related Functions” Kluwer Academic, Boston, Mass. USA, 388s.
Year 2019,
Volume: 12 Issue: 1, 437 - 446, 24.03.2019
Alexander, J. W. 1915. “Functions which map the interior of the unit circle upon simple regions” Ann. of Math., 17, 12-22.
Attiya, A. A., Hakami, A. H. 2013. “Some subordination results associated with generalized Srivastava-Attiya operatör” Adv. Difference Equ., 105.
Avkhadiev, F. G. and Wirths, K. J. 2002. “Convex holes produce lower bounds for coefficients” Complex Variables, Theory and Application, 47, 556-563.
Avkhadiev, F. G., Pommerenke, C. and Wirths, K. J. 2006. “Sharp inequalities for the coefficients of concave schlicht functions” Comment. Math. Helv., 81, 801-807.
Bernardi, S. D. 1969. “Convex and starlike univalent functions” Trans. Amer. Math. Soc., 135, 429-446.
Bhowmik, B., Ponnusamy, S. ve Wirths, K. J. 2010. “Characterization and the pre-Schwarzian norm estimate for concave univalent functions” Monatsh Math., 161, 59-75.
Choi, J., Srivastava, H. M. 2005. “Certain families of series associated with the Hurwitz-Lerch Zeta function” Appl. Math. Comput. 170, 399-409.
Dziok, J., Srivastava, H. M. 2003. “Certain subclasses of analytic functions associated with the generalized hypergeometric function” Integral Transforms Spec. Funct. 14, 7-18.
Dziok, J., Srivastava, H. M. 1999. “Classes of analytic functions associated with the generalized hypergeometric function” Appl. Math. Comput. 103, 1-13.
Fekete, M., Szegö, G. 1933. “Eine Bumerkung Über Ungerade Schlict Funktionen” J. London Math. Soc. 8, 85-89.
Ferreira, C., Lopez, J. L. 2004. “Asymptotic expansions of the Hurwitz-Lerch Zeta function” J. Math. Anal. Appl., 298, 210-224.
Kiryakova, V. 2011. “Criteria for univalence of the Dziok-Srivastava and the Srivastava-Owa operators in the class A” Appl. Math. Comput., 218, 883-892.
Koepf, W. 1987. “On the Fekete-Szegö problem for close –to-convex functions” Proc. Amer. Math. Soc., 101, 420-433.
Kutbi, M. A., Attiya, A. A. 2012. “Differential subordination results for certain integrodifferential operator and its applications” Abst. Appl. Anal.,2012, 1-13.
Libera, R. J. 1965. “Some classes of regular univalent functions” Proc. Amer. Math. Soc., 16, 755-758.
Lin, S. D., Srivastava, H. M. 2006. “Wang, P. Y. Some espansion formulas for a class of generalized Hurwitz-Lerch Zeta functions” Integral Transform. Spec. Funct., 17, 817-827.
Ling, Y., Liu, F. S. 2005. “The Choi-Saigo-Srivastava integral operator and a class of analytic functions” Appl. Math. Comput., 165, 613--621.
Livingston, A. E. 1966. “On the radius of univalence of certain analytic functions” Proc. Amer. Math. Soc., 17, 352-357.
Murugusundaramoorthy, G. 2014. “Coefficient estimate of bi-Bazilevic function defined by Srivastava-Attiya operatör” Le Matematiche, 69 (2) 45-56.
Ruscheweyh, S. 1975. “New criteria for univalent functions” Proc. Amer. Math. Soc. 49, 109-115.
Srivastava, H. M. 2007. “Some Fox-Wright generalized hypergeometric functions and associated families of convolution operators” Appl. Anal. Discrete Math., 1, 56-71.
Srivastava, H. M., Attiya, A. A. 2007. “An integral operator associated with the Hurwitz-Lerch Zeta function and differential subordination” Integral Transform. Spec. Funct., 18, 207-216.
Srivastava, H. M., Choi, J. (2001). “Series Associated with the Zeta and Related Functions” Kluwer Academic, Boston, Mass. USA, 388s.