Applications of Multivalent Functions Associated with Generalized Fractional Integral Operator

Jae Ho Choi^{*}

Show more

References

[1] S. Owa, M. Saigo and H. M. Srivastava, “Some Characterization Theorems for Starlike and Convex Functions Involving a Certain Fractional Integral Operator,” Journal of Mathematical Analysis and Applications, Vol. 140, No. 2, 1989, pp. 419-426.
doi:10.1016/0022-247X(89)90075-9

[2] S. G. Samko, A. A. Kilbas and O. I. Marichev, “Fractional Integral and Derivatives, Theory and Applications,” Gordon and Breach, New York, Philadelphia, London, Paris, Montreux, Toronto, Melbourne, 1993.

[3] H. M. Srivastava and R. G. Buschman, “Theory and Applications of Convolution Integral Equations,” Kluwer Academic Publishers, Dordrecht, Boston, London, 1992.

[4] M. Saigo, “A Remark on Integral Operators Involving the Gauss Hypergeometric Functions,” Mathematical Reports, Kyushu University, Vol. 11, No. 2, 1977-1978, pp. 135-143.

[5] J. H. Choi, “Note on Differential Subordination Associated with Fractional Integral Operator,” Far East Journal of Mathematical Sciences, Vol. 26, No. 2, 2007, pp. 499- 511.

[6] I. B. Jung, Y. C. Kim and H. M. srivastava, “The Hardy Space of Analytic Functions Associated with Certain One-Parameter Families of Integral Operators,” Journal of Mathematical Analysis and Applications, Vol. 176, No. 1, 1993, pp. 138-147. doi:10.1006/jmaa.1993.1204

[7] J.-L. Liu, “Notes on Jung-Kim-Srivastava Integral Operator,” Journal of Mathematical Analysis and Applications, Vol. 294, No. 1, 2004, pp. 96-103.
doi:10.1016/j.jmaa.2004.01.040

[8] R. M. EL-Ashwash and M. K. Aouf, “Some Subclasses of Multivalent Functions Involving the Extended Fractional Differintegral Operator,” Journal of Mathematical Inequalities, Vol. 4, No. 1, 2010, pp. 77-93.

[9] J. Patel, A. K. Mishra and H. M. Srivastava, “Classes of Multinalent Analytic Functions Involving the Dziok-Srivastava Operator,” Computers and Mathematics with Applications, Vol. 54, No. 5, 2007, pp. 599-616.
doi:10.1016/j.camwa.2006.08.041

[10] S. S. Miller and P. T. Mocanu, “Differential Subordinations and Univalent Functions,” Michigan Mathematical Journal, Vol. 28, No. 2, 1981, pp. 157-172.
doi:10.1307/mmj/1029002507

[11] S. D. Bernardi, “Convex and Starlike Univalent Functions,” Transactions of the American Mathematical Society, Vol. 135, 1969, pp. 429-446.
doi:10.1090/S0002-9947-1969-0232920-2

[12] R. J. Libera, “Some Classes of Regular Univalent Functions,” Proceedings of the American Mathematical Society, Vol. 16, No. 4, 1965, pp. 755-758.
doi:10.1090/S0002-9939-1965-0178131-2

[13] H. M. Srivastava and S. Owa, Eds., “Current Topics in Analytic Function Theory,” World Scientific Publishing Company, Singapore, New Jersey, London, Hong Kong, 1992. doi:10.1142/1628