Geodesic
A class of spirallike functions defined by Ruscheweyh-type $q$-difference operator
Novi Sad Journal of Mathematics, Tome 49 (2019) no. 2.

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In this paper, we define a new class of analytic functions $\mathcal{M}_q^m(\eta, \gamma, \lambda)$ involving Ruscheweyh-type $q$ difference operator $\mathcal{D}_{q}(R^{m}_{q}f)$. Subordination results and Fekete-Szeg\"{o} problem for generalized this function class are investigated. Sufficient conditions for a function to be in the class $\mathcal{M}_q^m(\eta, \gamma, \lambda)$ are also provided.
Publié le :
DOI : 10.30755/NSJOM.08284
Classification : 30C45
Keywords: Analytic functions; spirallike functions, Ruscheweyh $q$-difference operator, subordination, Fekete-Szeg\"{o} problem 
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     author = {Gangadharan Murugusundaramoorthy and Dorina R\={a}ducanu and Kaliyappan  Vijaya},
     title = {A class of spirallike functions defined by {Ruscheweyh-type} $q$-difference operator},
     journal = {Novi Sad Journal of Mathematics},
     pages = {59 - 71},
     publisher = {mathdoc},
     volume = {49},
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     year = {2019},
     doi = {10.30755/NSJOM.08284},
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Gangadharan Murugusundaramoorthy; Dorina Rāducanu; Kaliyappan  Vijaya. A class of spirallike functions defined by Ruscheweyh-type $q$-difference operator. Novi Sad Journal of Mathematics, Tome 49 (2019) no. 2. doi : 10.30755/NSJOM.08284. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.08284/

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