Subordination results for some subclasses of analytic functions

R. M. El-Ashwah; M. K. Aouf; A. Shamandy; E. E. Ali

Mathematica Bohemica (2011)

  • Volume: 136, Issue: 3, page 311-331
  • ISSN: 0862-7959

Abstract

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We introduce two classes of analytic functions related to conic domains, using a new linear multiplier Dziok-Srivastava operator D λ , ℓ n . q , s ( n ∈ ℕ 0 = { 0 , 1 , ⋯ } , q ≤ s + 1 ; q , s ∈ ℕ 0 , 0 ≤ α < 1 , λ ≥ 0 , ℓ ≥ 0 ) . Basic properties of these classes are studied, such as coefficient bounds. Various known or new special cases of our results are also pointed out. For these new function classes, we establish subordination theorems and also deduce some corollaries of these results.

How to cite

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El-Ashwah, R. M., et al. "Subordination results for some subclasses of analytic functions." Mathematica Bohemica 136.3 (2011): 311-331. <http://eudml.org/doc/197015>.

@article{El2011,
abstract = {We introduce two classes of analytic functions related to conic domains, using a new linear multiplier Dziok-Srivastava operator $D_\{\lambda ,\ell \}^\{n.q,s\}$$(n\in \mathbb \{N\}_\{0\}=\lbrace 0,1,\dots \rbrace $, $q\le s+1$; $q, s\in \mathbb \{N\}_\{0\}$, $0\le \alpha <1$, $\lambda \ge 0$, $\ell \ge 0).$ Basic properties of these classes are studied, such as coefficient bounds. Various known or new special cases of our results are also pointed out. For these new function classes, we establish subordination theorems and also deduce some corollaries of these results.},
author = {El-Ashwah, R. M., Aouf, M. K., Shamandy, A., Ali, E. E.},
journal = {Mathematica Bohemica},
keywords = {uniformly convex function; subordination; conic domain; Hadamard product; uniformly convex function; subordination; conic domain; Hadamard product},
language = {eng},
number = {3},
pages = {311-331},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Subordination results for some subclasses of analytic functions},
url = {http://eudml.org/doc/197015},
volume = {136},
year = {2011},
}

TY - JOUR
AU - El-Ashwah, R. M.
AU - Aouf, M. K.
AU - Shamandy, A.
AU - Ali, E. E.
TI - Subordination results for some subclasses of analytic functions
JO - Mathematica Bohemica
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 136
IS - 3
SP - 311
EP - 331
AB - We introduce two classes of analytic functions related to conic domains, using a new linear multiplier Dziok-Srivastava operator $D_{\lambda ,\ell }^{n.q,s}$$(n\in \mathbb {N}_{0}=\lbrace 0,1,\dots \rbrace $, $q\le s+1$; $q, s\in \mathbb {N}_{0}$, $0\le \alpha <1$, $\lambda \ge 0$, $\ell \ge 0).$ Basic properties of these classes are studied, such as coefficient bounds. Various known or new special cases of our results are also pointed out. For these new function classes, we establish subordination theorems and also deduce some corollaries of these results.
LA - eng
KW - uniformly convex function; subordination; conic domain; Hadamard product; uniformly convex function; subordination; conic domain; Hadamard product
UR - http://eudml.org/doc/197015
ER -

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