@article{RSMUP_1997__97__61_0,
author = {Raina, R. K. and Bolia, Mamta},
title = {Characterization properties for starlike and convex functions involving a class of fractional integral operators},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
volume = {98},
year = {1997},
pages = {61-71},
mrnumber = {1476163},
zbl = {0907.30015},
language = {en},
url = {http://dml.mathdoc.fr/item/RSMUP_1997__97__61_0}
}
Raina, R. K.; Bolia, Mamta. Characterization properties for starlike and convex functions involving a class of fractional integral operators. Rendiconti del Seminario Matematico della Università di Padova, Tome 98 (1997) pp. 61-71. http://gdmltest.u-ga.fr/item/RSMUP_1997__97__61_0/
[1] , Asymptotic expansions and analytic continuations for a cLass of Barnes integrals, Compos. Math., 15 (1964), pp. 239-341. | Numdam | MR 167651 | Zbl 0129.28604
[2] , - and H-functions as symmetrical Fourier kernels, Trans. Amer. Math. Soc., 98 (1961), pp. 395-429. | MR 131578 | Zbl 0096.30804
[3] - , An H-function generalized fractional calculus based upon compositions of Erdélyi-Kober operators in Lp, Math. Japon., 35 (1990), pp. 1151-1171. | MR 1083512 | Zbl 0739.33010
[4] , Fractional integration operators involving Fox's Hm,0m,mfunction, C. R. Bulg. Acad. Sci., 41 (11) (1988), pp. 11-14. ' | MR 985872 | Zbl 0662.33003
[5] , Generalized Hm,0m,m-function fractional integration operators in some classes of analytic functions, Math. Vesnik, 40 (1988), pp. 259-266. | MR 1044366 | Zbl 0713.33006
[6] - R. K. SAXENA, The H-Function with Applications in Statistics and other Disciplines, Halsted Press, New York, London, Sydney, Toronto (1978). | MR 513025 | Zbl 0382.33001
[7] - M. SAIGO - H. M. SRIVASTAVA, Some characterization theorems for starlike and convex functions involving a certain fractional integral operator, J. Math. Anal. Appl., 140 (2) (1989), pp. 419-426. | MR 1001867 | Zbl 0668.30013
[8] - - , Integrals and Series, Vol. 3, More Special Functions, Gordon and Breach, New York, Philadelphia, London, Paris, Montreux, Tokyo, Melbourne (1990). | MR 1054647 | Zbl 0967.00503
[9] - , Fractional calculus operators involving Fox's H-function on spaces F p,μ and F'p,μ, in Advances in Fractional Calculus (R. N. KALIA, Editor), Global Publ., Sauk Rapids (1993), pp. 219-229. | Zbl 0789.33006
[10] - , On distortion theorems involving generalized fractional calculus operators, Tamkang J. Math., 27 (3) (1996), pp. 233-241. | MR 1417705 | Zbl 0881.30009
[11] - , Hadamard products of schlicht functions and the Pólya-Schoenberg conjecture, Comment Math. Helv., 48 (1973), pp. 119-135. | MR 328051 | Zbl 0261.30015
[12] - - , On generalized fractional calculus operators and their compositions with axisymmetric differential operators of the potential theory on spaces Fp,μ and F'p,μ, Fukuoka Univ. Sci. Reports, 23 (1993), pp. 133-154. | MR 1245127 | Zbl 0932.26003
[13] , Univalent functions with negative coefficients, Proc. Amer. Math. Soc., 51 (1975), pp. 109-116. | MR 369678 | Zbl 0311.30007
[14] - - , The H-Functions of One and Two Variables with Applications, South Asian Publ., New Delhi, Madras (1982). | MR 691138 | Zbl 0506.33007
[15] - - , A class of distortion theorems involving certain operators of fractional calculus, J. Math. Anal. Appl., 131 (2) (1988), pp. 412-420. | MR 935278 | Zbl 0628.30014