References
- R. Aghalary and Gh. Azadi, The Dziok-Srivastava operator and k-uniformly starlike functions, JIPAM. J. Inequal. Pure Appl. Math. 6 (2) (2005), Article 52, 7 pp.
- A. A. Ali Abubaker and M. Darus, On starlike and convex functions with respect to k-symmetric points, Int. J. Math. Math. Sci. 2011, Art. ID 834064, 9 pp.
- M. Arif, K. I. Noor and R. Khan, On subclasses of analytic functions with respect to symmetrical points, Abstr. Appl. Anal. 2012, Art. ID 790689, 11 pp.
- R. Bharati, R. Parvatham and A. Swaminathan, On subclasses of uniformly convex functions and corresponding class of starlike functions, Tamkang J. Math. 28 (1) (1997), 17-32.
- J. H. Choi, M. Saigo and H. M. Srivastava, Some inclusion properties of a certain family of integral operators, J. Math. Anal. Appl. 276 (1) (2002), 432-445. https://doi.org/10.1016/S0022-247X(02)00500-0
- S. Devi and A. Swaminathan, Integral transforms of functions to be in a class of analytic functions using duality techniques, J. Complex Anal. 2014, Art. ID 473069, 10 pp.
- P. L. Duren, Univalent functions, Grundlehren der Mathematischen Wissenschaften, 259, Springer, New York, 1983.
- J. Dziok and H. M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput. 103 (1) (1999), 1-13. https://doi.org/10.1016/S0377-0427(98)00235-0
- J. Dziok and H. M. Srivastava, Some subclasses of analytic functions with fixed argument of coeffcients associated with the generalized hypergeometric function, Adv. Stud. Contemp. Math. (Kyungshang) 5 (2) (2002), 115-125.
- J. Dziok and H. M. Srivastava, Certain subclasses of analytic functions associated with the generalized hypergeometric function, Integral Transforms Spec. Funct. 14 (1) (2003), 7-18. https://doi.org/10.1080/10652460304543
- B. A. Frasin, Coeffcient inequalities for certain classes of Sakaguchi type functions, Int. J. Nonlinear Sci. 10 (2) (2010), 206-211.
- B. A. Frasin, Generalization of partial sums of certain analytic and univalent functions, Appl. Math. Lett. 21 (7) (2008), 735-741. https://doi.org/10.1016/j.aml.2007.08.002
- A. W. Goodman, On uniformly convex functions, Ann. Polon. Math. 56 (1) (1991) , 87-92. https://doi.org/10.4064/ap-56-1-87-92
- S. Kanas and H. M. Srivastava, Linear operators associated with k-uniformly convex functions, Integral Transform. Spec. Funct. 9 (2) (2000), 121-132. https://doi.org/10.1080/10652460008819249
- S. Kanas and A. Wisniowska, Conic regions and k-uniform convexity, J. Comput. Appl. Math. 105 (1-2) (1999), 327-336. https://doi.org/10.1016/S0377-0427(99)00018-7
- V. Kiryakova, Criteria for univalence of the Dziok-Srivastava and the Srivastava-Wright operators in the class A, Appl. Math. Comput. 218 (3) (2011), 883-892. https://doi.org/10.1016/j.amc.2011.01.076
- O. S. Kwon and N. E. Cho, Inclusion properties for certain subclasses of analytic functions associated with the Dziok-Srivastava operator, J. Inequal. Appl. 2007, Art. ID 51079, 10 pp.
- W. C. Ma and D. Minda, Uniformly convex functions, Ann. Polon. Math. 57 (2) (1992), 165-175. https://doi.org/10.4064/ap-57-2-165-175
- G. Murugusundaramoorthy, K. Uma and M. Darus, Partial sums of generalized class of analytic functions involving Hurwitz-Lerch zeta function, Abstr. Appl. Anal. 2011, Art. ID 849250, 9 pp.
- C. Ramachandran et al., A unified class of k-uniformly convex functions defined by the Dziok-Srivastava linear operator, Appl. Math. Comput. 190 (2) (2007), 1627-1636. https://doi.org/10.1016/j.amc.2007.02.042
- V. Ravichandran, Starlike and convex functions with respect to conjugate points, Acta Math. Acad. Paedagog. Nyhazi. (N.S.) 20 (1) (2004), 31-37.
- F. Rnning, Uniformly convex functions and a corresponding class of starlike functions, Proc. Amer. Math. Soc. 118 (1) (1993), 189-196. https://doi.org/10.1090/S0002-9939-1993-1128729-7
- K. Sakaguchi, On a certain univalent mapping, J. Math. Soc. Japan 11 (1959), 72-75. https://doi.org/10.2969/jmsj/01110072
- H. Silverman, Partial sums of starlike and convex functions, J. Math. Anal. Appl. 209 (1) (1997), 221-227. https://doi.org/10.1006/jmaa.1997.5361
-
E. M. Silvia, On partial sums of convex functions of order
${\alpha}$ , Houston J. Math. 11 (3) (1985), 397-404. - H. M. Srivastava, Some Fox-Wright generalized hypergeometric functions and associated families of convolution operators, Appl. Anal. Discrete Math. 1 (1) (2007), 56-71. https://doi.org/10.2298/AADM0701056S
- H. M. Srivastava, M. Darus and R. W. Ibrahim, Classes of analytic functions with fractional powers defined by means of a certain linear operator, Integral Transforms Spec. Funct. 22 (1) (2011), 17-28. https://doi.org/10.1080/10652469.2010.489796
- J. Thangamani, The radius of univalence of certain analytic functions, Indian J. Pure Appl. Math. 10 (11) (1979), 1369-1373.
- Z.-G. Wang, C.-Y. Gao and S.-M. Yuan, On certain subclasses of close-to-convex and quasi-convex functions with respect to k-symmetric points, J. Math. Anal. Appl. 322 (1) (2006), 97-106. https://doi.org/10.1016/j.jmaa.2005.08.060
- Q.-H. Xu, H.-G. Xiao and H. M. Srivastava, Some applications of differential subordination and the Dziok-Srivastava convolution operator, Appl. Math. Comput. 230 (2014), 496-508. https://doi.org/10.1016/j.amc.2013.12.065
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