Some applications of subordination theorems associated with fractional q -calculus operator

Wafaa Y. Kota; Rabha Mohamed El-Ashwah

Mathematica Bohemica (2023)

  • Volume: 148, Issue: 2, page 131-148
  • ISSN: 0862-7959

Abstract

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Using the operator 𝔇 q , ϱ m ( λ , l ) , we introduce the subclasses 𝔜 q , ϱ * m ( l , λ , γ ) and 𝔎 q , ϱ * m ( l , λ , γ ) of normalized analytic functions. Among the results investigated for each of these function classes, we derive some subordination results involving the Hadamard product of the associated functions. The interesting consequences of some of these subordination results are also discussed. Also, we derive integral means results for these classes.

How to cite

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Kota, Wafaa Y., and El-Ashwah, Rabha Mohamed. "Some applications of subordination theorems associated with fractional $q$-calculus operator." Mathematica Bohemica 148.2 (2023): 131-148. <http://eudml.org/doc/299546>.

@article{Kota2023,
abstract = {Using the operator $\mathfrak \{D\}_\{q,\varrho \}^\{m\}(\lambda ,l)$, we introduce the subclasses $\mathfrak \{Y\}^\{*m\}_\{q,\varrho \}(l,\lambda ,\gamma )$ and $\mathfrak \{K\}^\{*m\}_\{q,\varrho \}(l,\lambda ,\gamma )$ of normalized analytic functions. Among the results investigated for each of these function classes, we derive some subordination results involving the Hadamard product of the associated functions. The interesting consequences of some of these subordination results are also discussed. Also, we derive integral means results for these classes.},
author = {Kota, Wafaa Y., El-Ashwah, Rabha Mohamed},
journal = {Mathematica Bohemica},
keywords = {analytic function; subordination principle; subordinating factor sequence; Hadamard product; $q$-difference operator; fractional $q$-calculus operator},
language = {eng},
number = {2},
pages = {131-148},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some applications of subordination theorems associated with fractional $q$-calculus operator},
url = {http://eudml.org/doc/299546},
volume = {148},
year = {2023},
}

TY - JOUR
AU - Kota, Wafaa Y.
AU - El-Ashwah, Rabha Mohamed
TI - Some applications of subordination theorems associated with fractional $q$-calculus operator
JO - Mathematica Bohemica
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 148
IS - 2
SP - 131
EP - 148
AB - Using the operator $\mathfrak {D}_{q,\varrho }^{m}(\lambda ,l)$, we introduce the subclasses $\mathfrak {Y}^{*m}_{q,\varrho }(l,\lambda ,\gamma )$ and $\mathfrak {K}^{*m}_{q,\varrho }(l,\lambda ,\gamma )$ of normalized analytic functions. Among the results investigated for each of these function classes, we derive some subordination results involving the Hadamard product of the associated functions. The interesting consequences of some of these subordination results are also discussed. Also, we derive integral means results for these classes.
LA - eng
KW - analytic function; subordination principle; subordinating factor sequence; Hadamard product; $q$-difference operator; fractional $q$-calculus operator
UR - http://eudml.org/doc/299546
ER -

References

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