New classes of distortion theorems for certain subclasses of analytic functions involving certain fractional derivatives

R.K. Raina; Mamta Bolia

Annales mathématiques Blaise Pascal (1998)

  • Volume: 5, Issue: 1, page 43-53
  • ISSN: 1259-1734

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Raina, R.K., and Bolia, Mamta. "New classes of distortion theorems for certain subclasses of analytic functions involving certain fractional derivatives." Annales mathématiques Blaise Pascal 5.1 (1998): 43-53. <http://eudml.org/doc/79197>.

@article{Raina1998,
author = {Raina, R.K., Bolia, Mamta},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Riemann-Liouville operators; Erdélyi-Kober operators; distortion theorems},
language = {eng},
number = {1},
pages = {43-53},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {New classes of distortion theorems for certain subclasses of analytic functions involving certain fractional derivatives},
url = {http://eudml.org/doc/79197},
volume = {5},
year = {1998},
}

TY - JOUR
AU - Raina, R.K.
AU - Bolia, Mamta
TI - New classes of distortion theorems for certain subclasses of analytic functions involving certain fractional derivatives
JO - Annales mathématiques Blaise Pascal
PY - 1998
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 5
IS - 1
SP - 43
EP - 53
LA - eng
KW - Riemann-Liouville operators; Erdélyi-Kober operators; distortion theorems
UR - http://eudml.org/doc/79197
ER -

References

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  1. 1. R.M. Goel and N.S. Sohi, Multivalent functions with negative coefficients, Indian J. pure Appl. Math.12 (1981), 844-853. Zbl0463.30016MR624534
  2. 2. R.K. Raina and M. Saigo, A note on fractional calculus operators involving Fox's H-function on space Fp,μ, in Recent Advances in Fractional Calculus (R.N. Kalia), Global Publishing Company, Sauk Rapids, Minnesota, 1993, 219-229. Zbl0789.33006MR1249997
  3. 3. R.K. Raina and H.M. Srivastava,. A certain subclass of analytic functions associated with operators of fractional calculus, Computers Math. Applic.32(7) (1996), 13-19. Zbl0867.30015MR1418711
  4. 4. S.G. Samko, A.A. Kilbas and O.I. Marichev, Fractional Integrals and Derivatives : Theory and Applications, Gordon and Breach Science Publishers, Reading, Tokyo / Paris / Berlin / Langhorne Pennsylvania, 1993. Zbl0818.26003MR1347689
  5. 5. H.M. Srivastava and S. owa, An application of the fractional derivative, Math. Japon.29, (1984), 383-389. Zbl0522.30011MR752235
  6. 6. H.M. Srivastava, M. Saigo and S. Owa, A class of distortion theorems involving certain operators of fractional calculus, J. Math. Anal. Appl.131(1988), 412-420. Zbl0628.30014MR935278

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