Fuzzy differential subordinations connected with the linear operator

Sheza M. El-Deeb; Georgia I. Oros

Mathematica Bohemica (2021)

  • Volume: 146, Issue: 4, page 397-406
  • ISSN: 0862-7959

Abstract

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We obtain several fuzzy differential subordinations by using a linear operator ℐ m , γ n , α f ( z ) = z + ∑ k = 2 ∞ ( 1 + γ ( k - 1 ) ) n m α ( m + k ) - α a k z k . Using the linear operator ℐ m , γ n , α , we also introduce a class of univalent analytic functions for which we give some properties.

How to cite

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El-Deeb, Sheza M., and Oros, Georgia I.. "Fuzzy differential subordinations connected with the linear operator." Mathematica Bohemica 146.4 (2021): 397-406. <http://eudml.org/doc/297561>.

@article{El2021,
abstract = {We obtain several fuzzy differential subordinations by using a linear operator $\mathcal \{I\}_\{m,\gamma \}^\{n,\alpha \}f(z)=z+\sum \limits _\{k=2\}^\{\infty \}(1+\gamma ( k-1))^\{n\}m^\{\alpha \}(m+k)^\{-\alpha \}a_\{k\}z^\{k\}$. Using the linear operator $\mathcal \{I\}_\{m,\gamma \}^\{n,\alpha \},$ we also introduce a class of univalent analytic functions for which we give some properties.},
author = {El-Deeb, Sheza M., Oros, Georgia I.},
journal = {Mathematica Bohemica},
keywords = {fuzzy differential subordination; fuzzy best dominant; linear operator},
language = {eng},
number = {4},
pages = {397-406},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Fuzzy differential subordinations connected with the linear operator},
url = {http://eudml.org/doc/297561},
volume = {146},
year = {2021},
}

TY - JOUR
AU - El-Deeb, Sheza M.
AU - Oros, Georgia I.
TI - Fuzzy differential subordinations connected with the linear operator
JO - Mathematica Bohemica
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 146
IS - 4
SP - 397
EP - 406
AB - We obtain several fuzzy differential subordinations by using a linear operator $\mathcal {I}_{m,\gamma }^{n,\alpha }f(z)=z+\sum \limits _{k=2}^{\infty }(1+\gamma ( k-1))^{n}m^{\alpha }(m+k)^{-\alpha }a_{k}z^{k}$. Using the linear operator $\mathcal {I}_{m,\gamma }^{n,\alpha },$ we also introduce a class of univalent analytic functions for which we give some properties.
LA - eng
KW - fuzzy differential subordination; fuzzy best dominant; linear operator
UR - http://eudml.org/doc/297561
ER -

References

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