Applications of certain linear operators in the theory of analytic functions
Annales Polonici Mathematici (1991)
- Volume: 55, Issue: 1, page 325-330
- ISSN: 0066-2216
Access Full Article
topAbstract
topHow to cite
topReferences
top- [1] B. C. Carlson and D. B. Shaffer, Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal. 15 (1984), 737-745. Zbl0567.30009
- [2] P. L. Duren, Univalent Functions, Grundlehren Math. Wiss. 259, Springer, New York 1983.
- [3] A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Tables of Integral Transforms, Vol. II, McGraw-Hill, New York 1954. Zbl0055.36401
- [4] K. Nishimoto, Fractional Calculus, Vols. I, II, and III, Descartes Press, Koriyama 1984, 1987, and 1989.
- [5] K. B. Oldham and J. Spanier, The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order, Academic Press, New York-London 1974. Zbl0292.26011
- [6] S. Owa, On the distortion theorems. II, Kyungpook Math. J. 18 (1978), 53-59. Zbl0401.30009
- [7] S. Owa, M. Saigo, and H. M. Srivastava, Some characterization theorems for starlike and convex functions involving a certain fractional integral operator, J. Math. Anal. Appl. 140 (1989), 419-426. Zbl0668.30013
- [8] S. Owa and H. M. Srivastava, Univalent and starlike generalized hypergeometric functions, Canad. J. Math. 39 (1987), 1057-1077. Zbl0611.33007
- [9] S. Ruscheweyh, Linear operators between classes of prestarlike functions, Comment. Math. Helv. 52 (1977), 497-509. Zbl0372.30007
- [10] M. Saigo, A remark on integral operators involving the Gauss hypergeometric functions, Math. Rep. College General Ed. Kyushu Univ. 11 (1978), 135-145.
- [11] S. G. Samko, A. A. Kilbas, and O. I. Marichev, Integrals and Derivatives of Fractional Order and Some of Their Applications, Nauka i Tekhnika, Minsk 1987 (in Russian). Zbl0617.26004
- [12] N. S. Sohi, Distortion theorems involving certain operators of fractional calculus on a class of p-valent functions, in: Fractional Calculus and Its Applications, K. Nishimoto (ed.), College of Engineering (Nihon University), Koriyama 1990, 245-252. Zbl0743.30018
- [13] H. M. Srivastava and R. G. Buschman, Convolution Integral Equations with Special Function Kernels, Halsted Press, Wiley, New York 1977. Zbl0346.45010
- [14] H. M. Srivastava and H. L. Manocha, A Treatise on Generating Functions, Halsted Press, Wiley, New York 1984. Zbl0535.33001
- [15] H. M. Srivastava and S. Owa (eds.), Univalent Functions, Fractional Calculus, and Their Applications, Halsted Press, Wiley, New York 1989. Zbl0683.00012