Characterization properties for starlike and convex functions involving a class of fractional integral operators

R. K. Raina; Mamta Bolia

Rendiconti del Seminario Matematico della Università di Padova (1997)

  • Volume: 97, page 61-71
  • ISSN: 0041-8994

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Raina, R. K., and Bolia, Mamta. "Characterization properties for starlike and convex functions involving a class of fractional integral operators." Rendiconti del Seminario Matematico della Università di Padova 97 (1997): 61-71. <http://eudml.org/doc/108430>.

@article{Raina1997,
author = {Raina, R. K., Bolia, Mamta},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {fractional operator; starlike function; convex function; Hadamard product},
language = {eng},
pages = {61-71},
publisher = {Seminario Matematico of the University of Padua},
title = {Characterization properties for starlike and convex functions involving a class of fractional integral operators},
url = {http://eudml.org/doc/108430},
volume = {97},
year = {1997},
}

TY - JOUR
AU - Raina, R. K.
AU - Bolia, Mamta
TI - Characterization properties for starlike and convex functions involving a class of fractional integral operators
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1997
PB - Seminario Matematico of the University of Padua
VL - 97
SP - 61
EP - 71
LA - eng
KW - fractional operator; starlike function; convex function; Hadamard product
UR - http://eudml.org/doc/108430
ER -

References

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  3. [3] S.L. Kalla - V.S. Kiryakova, An H-function generalized fractional calculus based upon compositions of Erdélyi-Kober operators in Lp, Math. Japon., 35 (1990), pp. 1151-1171. Zbl0739.33010MR1083512
  4. [4] V.S. Kiryakova, Fractional integration operators involving Fox's Hm,0m,mfunction, C. R. Bulg. Acad. Sci., 41 (11) (1988), pp. 11-14. ' Zbl0662.33003MR985872
  5. [5] V.S. Kiryakova, Generalized Hm,0m,m-function fractional integration operators in some classes of analytic functions, Math. Vesnik, 40 (1988), pp. 259-266. Zbl0713.33006MR1044366
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  8. [8] A.P. Prudnikov - Ju A. Brychkov - O.I. Marichev, Integrals and Series, Vol. 3, More Special Functions, Gordon and Breach, New York, Philadelphia, London, Paris, Montreux, Tokyo, Melbourne (1990). Zbl0967.00503MR1054647
  9. [9] R.K. Raina - M. Saigo, 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. Zbl0789.33006
  10. [10] R.K. Raina - M. Bolia, On distortion theorems involving generalized fractional calculus operators, Tamkang J. Math., 27 (3) (1996), pp. 233-241. Zbl0881.30009MR1417705
  11. [11] S. Ruscheweyh - T. Sheil-Small, Hadamard products of schlicht functions and the Pólya-Schoenberg conjecture, Comment Math. Helv., 48 (1973), pp. 119-135. Zbl0261.30015MR328051
  12. [12] M. Saigo - R.K. Raina - A.A. Kilbas, 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. Zbl0932.26003
  13. [13] H. Silverman, Univalent functions with negative coefficients, Proc. Amer. Math. Soc., 51 (1975), pp. 109-116. Zbl0311.30007MR369678
  14. [14] H.M. Srivastava - K.C. Gupta - S.P. Goyal, The H-Functions of One and Two Variables with Applications, South Asian Publ., New Delhi, Madras (1982). Zbl0506.33007MR691138
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