Inclusion properties for analytic functions of q-analogue multiplier-Ruscheweyh operator
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作者:
Ali, Ekram E.
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Univ Hail, Coll Sci, Dept Math, Hail 81451, Saudi Arabia
Port Said Univ, Fac Sci, Dept Math & Comp Sci, Port Said 42521, EgyptUniv Hail, Coll Sci, Dept Math, Hail 81451, Saudi Arabia
Ali, Ekram E.
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El-Ashwah, Rabha M.
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Damietta Univ, Fac Sci, Dept Math, New Damietta 34517, EgyptUniv Hail, Coll Sci, Dept Math, Hail 81451, Saudi Arabia
El-Ashwah, Rabha M.
[3
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Albalahi, Abeer M.
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Univ Hail, Coll Sci, Dept Math, Hail 81451, Saudi ArabiaUniv Hail, Coll Sci, Dept Math, Hail 81451, Saudi Arabia
Albalahi, Abeer M.
[1
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Sidaoui, R.
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Univ Hail, Coll Sci, Dept Math, Hail 81451, Saudi ArabiaUniv Hail, Coll Sci, Dept Math, Hail 81451, Saudi Arabia
Sidaoui, R.
[1
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Moumen, Abdelkader
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Univ Hail, Coll Sci, Dept Math, Hail 81451, Saudi ArabiaUniv Hail, Coll Sci, Dept Math, Hail 81451, Saudi Arabia
The results of this work have a connection with the geometric function theory and they were obtained using methods based on subordination along with information on q-calculus operators. We defined the q-analogue of multiplier- Ruscheweyh operator of a certain family of linear operators I-q,mu(s)(lambda,& ell;)f(sigma)(s is an element of N-0=N boolean OR{0},N={1,2,3,..};& ell;,lambda,mu >= 0,0<q<1). Our major goal was to build some analytic function subclasses using I-q,mu(s)(lambda,& ell;)f(sigma) and to look into various inclusion relationships that have integral preservation features.